## Sprekels, Jürgen

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 Author ID: sprekels.jurgen Published as: Sprekels, Jürgen; Sprekels, J.; Sprekels, Juergen Homepage: http://www2.math.hu-berlin.de/Math-Net/members/sprekelsj.rdf.html External Links: MGP · Math-Net.Ru · dblp · GND
 Documents Indexed: 192 Publications since 1976, including 2 Books 15 Contributions as Editor Reviewing Activity: 100 Reviews Biographic References: 1 Publication Co-Authors: 75 Co-Authors with 185 Joint Publications 2,757 Co-Co-Authors
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### Co-Authors

 22 single-authored 61 Colli, Pierluigi 43 Gilardi, Gianni 30 Krejčí, Pavel 20 Tiba, Dan 16 Hoffmann, Karl-Heinz 13 Rocca, Elisabetta 10 Zheng, Songmu 8 Guidugli, Paolo Podio 8 Tröltzsch, Fredi 6 Niezgódka, Marek 6 Sokołowski, Jan 5 Klein, Olaf 5 Leugering, Günter 4 Brokate, Martin 4 Kunisch, Karl 3 Arnăutu, Viorel 3 Frigeri, Sergio 3 Grasselli, Maurizio 3 Horn, Werner 3 Kenmochi, Nobuyuki 3 Signori, Andrea 3 Voss, Heinrich 2 Bubner, Nikolaus 2 Dreyer, Wolfgang 2 Druet, Pierre-Étienne 2 Farshbaf-Shaker, Mohammad Hassan 2 Fiedler, Bernold 2 Glashoff, Klaus 2 Gröger, Konrad 2 Hsiao, George C. 2 Ignat, Anca 2 Philip, Peter 2 Schimperna, Giulio 2 Stefanelli, Ulisse 2 Wu, Hao 1 Alt, Hans Wilhelm 1 Bonetti, Elena 1 Büskens, Christof 1 Collatz, Lothar 1 Damlamian, Alain 1 Deuflhard, Peter 1 Favini, Angelo 1 Friedman, Avner 1 Gal, Ciprian Gheorghe Sorin 1 Gomes, Sônja M. 1 Grötschel, Martin 1 Guenther, Ronald B. 1 Hömberg, Dietmar 1 Horst, Ulrich 1 Jongen, Hubertus Th. 1 König, Wolfgang Dieter 1 Kramer, Jürg 1 Kreth, Horst 1 Langmach, Hartmut 1 Lasiecka, Irena 1 Laurençot, Philippe 1 Lefter, Cătălin-George 1 Mehrmann, Volker 1 Mimura, Masayasu 1 Müller, Ingo 1 Neittaanmäki, Pekka J. 1 Nestler, Peter 1 Podio-Guidugli, Paulo 1 Polthier, Konrad 1 Schlömer, Nico 1 Schütte, Christof 1 Seelecke, Stefan 1 Skutella, Martin 1 Soltanov, Kamal N. 1 Valdinoci, Enrico 1 Visintin, Augusto 1 Wilmański, Krzysztof 1 Yousept, Irwin 1 Zeng, Songmu 1 Zhu, Peicheng
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### Serials

 15 Mathematical Methods in the Applied Sciences 13 Advances in Mathematical Sciences and Applications 11 SIAM Journal on Control and Optimization 8 Journal of Mathematical Analysis and Applications 8 Applied Mathematics and Optimization 6 Numerical Functional Analysis and Optimization 6 SIAM Journal on Mathematical Analysis 5 Journal of Differential Equations 5 Discrete and Continuous Dynamical Systems. Series S 4 Control and Cybernetics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Numerische Mathematik 4 ISNM. International Series of Numerical Mathematics 3 Physica D 3 Applications of Mathematics 3 Continuum Mechanics and Thermodynamics 3 Interfaces and Free Boundaries 3 Nonlinear Analysis. Theory, Methods & Applications 2 Nonlinearity 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Computing 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Milan Journal of Mathematics 2 Oberwolfach Reports 2 Evolution Equations and Control Theory 1 IMA Journal of Applied Mathematics 1 Journal of Computational Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Czechoslovak Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Journal of Integral Equations 1 OR Spektrum 1 Systems & Control Letters 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Aequationes Mathematicae 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 SIAM Journal on Applied Mathematics 1 Matemática Aplicada e Computacional 1 Journal of Convex Analysis 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Applied Mathematical Sciences 1 Methods of Operations Research 1 Series on Advances in Mathematics for Applied Sciences 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Springer INdAM Series 1 Advances in Nonlinear Analysis 1 EMS Series in Industrial and Applied Mathematics 1 Journal of Elliptic and Parabolic Equations 1 AIMS Mathematics 1 Springer Monographs in Mathematics
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### Fields

 148 Partial differential equations (35-XX) 80 Mechanics of deformable solids (74-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 44 Classical thermodynamics, heat transfer (80-XX) 27 Numerical analysis (65-XX) 20 Operator theory (47-XX) 20 Systems theory; control (93-XX) 17 Fluid mechanics (76-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Integral equations (45-XX) 15 General and overarching topics; collections (00-XX) 10 Ordinary differential equations (34-XX) 10 Biology and other natural sciences (92-XX) 5 History and biography (01-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

166 Publications have been cited 1,709 times in 839 Documents Cited by Year
Hysteresis and phase transitions. Zbl 0951.74002
Brokate, Martin; Sprekels, Jürgen
1996
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2014
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2015
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in two dimensions. Zbl 1335.49010
Frigeri, Sergio; Rocca, Elisabetta; Sprekels, Jürgen
2016
Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033
Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Optimization of elliptic systems. Theory and applications. Zbl 1106.49002
Neittaanmaki, Pekka; Sprekels, Jürgen; Tiba, Dan
2006
Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions. Zbl 1322.49006
Rocca, E.; Sprekels, J.
2015
Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition. Zbl 1382.74089
Colli, Pierluigi; Sprekels, Jürgen
2015
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys. Zbl 0696.35145
Sprekels, Jürgen; Zheng, Songmu
1989
An application of Glicksberg’s theorem to set-valued integral equations arising in the theory of thermostats. Zbl 0472.45004
Glashoff, K.; Sprekels, J.
1981
Global smooth solutions to a thermodynamically consistent model of phase- field type in higher space dimensions. Zbl 0804.35063
Sprekels, Jürgen; Zheng, Songmu
1993
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
The regulation of temperature by thermostats and set-valued integral equations. Zbl 0507.45010
Glashoff, K.; Sprekels, J.
1982
Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2011
A new type of identification problems: optimizing the fractional order in a nonlocal evolution equation. Zbl 1394.49033
Sprekels, Jürgen; Valdinoci, Enrico
2017
Existence of solutions for a mathematical model of structural phase transitions in shape memory alloys. Zbl 0668.35013
Niezgódka, Marek; Sprekels, Jürgen
1988
A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles. Zbl 1309.74054
Colli, Pierluigi; Farshbaf-Shaker, M.; Sprekels, Jürgen
2015
A note on parabolic equation with nonlinear dynamical boundary condition. Zbl 1185.35131
Sprekels, Jürgen; Wu, Hao
2010
On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066
Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen
2002
Optimal control of three-dimensional state-constrained induction heating problems with nonlocal radiation effects. Zbl 1229.49021
Druet, Pierre-Étienne; Klein, Olaf; Sprekels, Jürgen; Tröltzsch, Fredi; Yousept, Irwin
2011
Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2012
Two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with variable viscosity, degenerate mobility and singular potential. Zbl 1408.35149
Frigeri, S.; Gal, C. G.; Grasselli, M.; Sprekels, J.
2019
Global existence for thermomechanical processes with nonconvex free energies of Ginzburg-Landau form. Zbl 0701.35082
Sprekels, Jürgen
1989
Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036
Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Global existence for a three-dimensional model for the thermo-mechanical evolution of shape memory alloys. Zbl 0766.35062
Colli, Pierluigi; Sprekels, Jürgen
1992
Optimal distributed control of two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with degenerate mobility and singular potential. Zbl 1440.35235
Frigeri, Sergio; Grasselli, Maurizio; Sprekels, Jürgen
2020
A hysteresis approach to phase-field models. Zbl 0941.35123
Krejčí, P.; Sprekels, J.
2000
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
On the identification of coefficients of elliptic problems by asymptotic regularization. Zbl 0576.65121
Hoffmann, K.-H.; Sprekels, Jürgen
1984
Global solutions to a model of structural phase transitions in shape memory alloys. Zbl 0654.35020
Niezgódka, Marek; Zheng, Songmu; Sprekels, Jürgen
1988
On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type. Zbl 0852.35030
Colli, Pierluigi; Sprekels, Jürgen
1995
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Real-time control of the free boundary in a two-phase Stefan problem. Zbl 0502.49005
Hoffmann, K.-H.; Sprekels, J.
1982
Asymptotic behavior of the solutions to a Landau-Ginzburg system with viscosity for martensitic phase transitions in shape memory alloys. Zbl 0914.35141
Sprekels, Jürgen; Zheng, Songmu; Zhu, Peicheng
1998
Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys. Zbl 0715.65099
Niezgódka, Marek; Sprekels, Jürgen
1991
Automatic control via thermostats of a hyperbolic Stefan problem with memory. Zbl 0931.35198
Colli, P.; Grasselli, M.; Sprekels, J.
1999
Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law. Zbl 0930.35036
Colli, Pierluigi; Sprekels, Jürgen
1999
Modeling and simulation of sublimation growth of SiC bulk single crystals. Zbl 1081.35117
Klein, Olaf; Philip, Peter; Sprekels, Jürgen
2004
Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys. Zbl 0944.35104
Sprekels, Jürgen; Zheng, Songmu
1998
Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions. Zbl 1023.35051
Sprekels, Jürgen; Zheng, Songmu
2003
Non-local temperature-dependent phase-field models for non-isothermal phase transitions. Zbl 1128.80002
Krejcí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Stefan problems and the Penrose-Fife phase field model. Zbl 0892.35158
Colli, Pierluigi; Sprekels, Jürgen
1997
Elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators. Zbl 1130.74028
Krejçí, Pavel; Sprekels, Jürgen
2007
Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions. Zbl 1382.49004
Colli, Pierluigi; Sprekels, Jürgen
2017
Global solutions to a Penrose-Fife phase-field model under flux boundary conditions for the inverse temperature. Zbl 0859.35049
Horn, Werner; Laurençot, Philippe; Sprekels, Jürgen
1996
On the identification of parameters in general variational inequalities by asymptotic regularization. Zbl 0652.35103
Hoffmann, K.-H.; Sprekels, J.
1986
Optimal boundary control of a phase field system modeling nonisothermal phase transitions. Zbl 1284.49028
Lefter, Cătălin; Sprekels, Jürgen
2007
Phase-field models with hysteresis in one-dimensional thermoviscoplasticity. Zbl 1034.34053
Krejcí, Pavel; Sprekels, Jürgen; Stefanelli, Ulisse
2002
On the approximation and the optimization of plates. Zbl 0976.49025
Arnautu, V.; Langmach, H.; Sprekels, J.; Tiba, D.
2000
On a system of nonlinear PDEs with temperature-dependent hysteresis in one-dimensional thermoplasticity. Zbl 0874.35022
Krejčí, Pavel; Sprekels, Jürgen
1997
Global existence of smooth solutions to the Penrose-Fife model for Ising ferromagnets. Zbl 0858.35053
Horn, Werner; Sprekels, Jürgen; Zheng, Songmu
1996
On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Shape memory alloys: mathematical models for a class of first order solid-solid phase transitions in metals. Zbl 1229.49048
Sprekels, Jürgen
1990
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Positivity of temperature in the general Frémond model for shape memory alloys. Zbl 0788.73016
Colli, P.; Sprekels, J.
1993
A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Krasnoselskii’s theorem on operators compressing a cone: Application to some singular boundary value problems. Zbl 0766.47033
Gomes, Sônja M.; Sprekels, Jürgen
1990
Feedback control via thermostats of multidimensional two-phase Stefan problems. Zbl 0752.49004
Hoffmann, K.-H.; Sprekels, J.; Niezgódka, M.
1990
Small strain oscillations of an elastoplastic Kirchhoff plate. Zbl 1132.74016
Guenther, Ronald B.; Krejčí, Pavel; Sprekels, Jürgen
2008
Optimal control problems for a thermodynamically consistent model of phase-field type for phase transitions. Zbl 0766.49021
Sprekels, Jürgen; Zheng, Songmu
1992
Identification of hysteresis loops. Zbl 0659.65125
Hoffmann, K.-H.; Sprekels, J.; Visintin, A.
1988
Global solution to the full one-dimensional Frémond model for shape memory alloys. Zbl 0821.35156
Colli, Pierluigi; Sprekels, Jürgen
1995
A duality approach in the optimization of beams and plates. Zbl 0926.49023
Sprekels, J.; Tiba, D.
1999
One-dimensional thermo-viscoplastic processes with hysteresis and phase transitions. Zbl 1049.74036
Krejčí, Pavel; Sprekels, Jürgen; Stefanelli, Ulisse
2003
Existence and optimal control of mechanical processes with hysteresis in viscous solids. Zbl 0695.73007
Brokate, M.; Sprekels, J.
1989
Hysteresis operators in phase-field models of Penrose-fife type. Zbl 0940.35106
Krejčí, Pavel; Sprekels, Jürgen
1998
Weak solution to some Penrose-Fife phase-field systems with temperature-dependent memory. Zbl 0897.45012
Colli, Pierluigi; Sprekels, Jürgen
1998
A nonlocal phase-field model with nonconstant specific heat. Zbl 1129.74035
Krejči, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Optimal distributed control of a Cahn-Hilliard-Darcy system with mass sources. Zbl 1462.35147
Sprekels, Jürgen; Wu, Hao
2021
Asymptotic behaviour for a phase-field system with hysteresis. Zbl 1021.35131
Krejči, Pavel; Sprekels, Jürgen; Zeng, Songmu
2001
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Global solutions to a coupled parabolic-hyperbolic system with hysteresis in 1-D magnetoelasticity. Zbl 0934.35194
Krejčí, P.; Sprekels, J.
1998
Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
Ein Verfahren zur iterativen Einschließung des positiven Eigenvektors einer irreduziblen, nichtnegativen Matrix. Zbl 0374.65016
Sprekels, J.; Voss, H.
1978
Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys. Zbl 0825.73048
Friedman, A.; Sprekels, J.
1990
Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity. Zbl 0940.35052
Krejčí, Pavel; Sprekels, Jürgen
1998
Phase-field models with hysteresis. Zbl 0983.74048
Krejčí, Pavel; Sprekels, Jürgen
2000
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Finite dimensional cone iteration techniques for superlinear Hammerstein equations. Zbl 0463.65091
Sprekels, Jürgen
1979
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297
Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J.
2012
Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35269
Gilardi, Gianni; Sprekels, Jürgen
2019
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
2014
Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
A model of a general elastic curved rod. Zbl 1023.74024
Ignat, Anca; Sprekels, Jürgen; Tiba, Dan
2002
Real-time control in a free boundary problem connected with the continuous casting of steel. Zbl 0551.49004
Hoffmann, K.-H.; Sprekels, J.
1984
Stability and optimal control of thermomechanical processes with non- convex free energies of Ginzburg-Landau type. Zbl 0682.49005
Sprekels, Jürgen
1989
Optimization problems for curved mechanical structures. Zbl 1085.49044
Arnăutu, Viorel; Sprekels, Jürgen; Tiba, Dan
2005
An analytic approach to a generalized Naghdi shell model. Zbl 1183.74157
Sprekels, Jürgen; Tiba, Dan
2002
Existenz und erste Einschließung positiver Lösungen bei superlinearen Randwertaufgaben zweiter Ordnung. Zbl 0345.65044
Sprekels, Jürgen
1976
Optimal distributed control of a Cahn-Hilliard-Darcy system with mass sources. Zbl 1462.35147
Sprekels, Jürgen; Wu, Hao
2021
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials. Zbl 07371832
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
2021
Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth. Zbl 1475.35365
Sprekels, Jürgen; Tröltzsch, Fredi
2021
Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis. Zbl 1473.49053
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
2021
Optimal distributed control of two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with degenerate mobility and singular potential. Zbl 1440.35235
Frigeri, Sergio; Grasselli, Maurizio; Sprekels, Jürgen
2020
Asymptotic analysis of a tumor growth model with fractional operators. Zbl 1476.35284
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
Optimal distributed control of a generalized fractional Cahn-Hilliard system. Zbl 1447.35181
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
Two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with variable viscosity, degenerate mobility and singular potential. Zbl 1408.35149
Frigeri, S.; Gal, C. G.; Grasselli, M.; Sprekels, J.
2019
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35269
Gilardi, Gianni; Sprekels, Jürgen
2019
Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems. Zbl 1451.49008
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness and regularity for a fractional tumor growth model. Zbl 1477.35282
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35044
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Limiting problems for a nonstandard viscous Cahn-Hilliard system with dynamic boundary conditions. Zbl 1406.74545
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
A new type of identification problems: optimizing the fractional order in a nonlocal evolution equation. Zbl 1394.49033
Sprekels, Jürgen; Valdinoci, Enrico
2017
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions. Zbl 1382.49004
Colli, Pierluigi; Sprekels, Jürgen
2017
Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1364.35130
Colli, Pierluigi; Gilardi, Gianni; Sprekels, J.
2017
Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Zbl 1387.35010
2017
Unsaturated deformable porous media flow with thermal phase transition. Zbl 1386.76163
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2017
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in two dimensions. Zbl 1335.49010
Frigeri, Sergio; Rocca, Elisabetta; Sprekels, Jürgen
2016
On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Distributed optimal control of a nonstandard nonlocal phase field system. Zbl 1428.49025
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Karl Weierstraß (1815–1897). Aspekte seines Lebens und Werkes – aspects of his life and work. Zbl 1329.01010
2016
Constrained evolution for a quasilinear parabolic equation. Zbl 1357.35197
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2015
Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033
Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions. Zbl 1322.49006
Rocca, E.; Sprekels, J.
2015
Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition. Zbl 1382.74089
Colli, Pierluigi; Sprekels, Jürgen
2015
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles. Zbl 1309.74054
Colli, Pierluigi; Farshbaf-Shaker, M.; Sprekels, Jürgen
2015
Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036
Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2014
A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
2014
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2012
Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297
Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J.
2012
Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals. Zbl 1257.35181
Dreyer, W.; Druet, P.-É.; Klein, O.; Sprekels, J.
2012
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2011
Optimal control of three-dimensional state-constrained induction heating problems with nonlocal radiation effects. Zbl 1229.49021
Druet, Pierre-Étienne; Klein, Olaf; Sprekels, Jürgen; Tröltzsch, Fredi; Yousept, Irwin
2011
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity. Zbl 1221.35190
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2011
Phase separation in a gravity field. Zbl 1217.80118
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2011
A note on parabolic equation with nonlinear dynamical boundary condition. Zbl 1185.35131
Sprekels, Jürgen; Wu, Hao
2010
Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
The control variational approach for differential systems. Zbl 1198.74042
Sprekels, Jürgen; Tiba, Dan
2009
A bottle in a freezer. Zbl 1202.80014
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2009
Optimization problems for thin elastic structures. Zbl 1197.49047
Sprekels, Jürgen; Tiba, Dan
2009
Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Zbl 1182.49002
2009
Small strain oscillations of an elastoplastic Kirchhoff plate. Zbl 1132.74016
Guenther, Ronald B.; Krejčí, Pavel; Sprekels, Jürgen
2008
Clamped elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators. Zbl 1156.35098
Krejčí, Pavel; Sprekels, Jürgen
2008
Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Non-local temperature-dependent phase-field models for non-isothermal phase transitions. Zbl 1128.80002
Krejcí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators. Zbl 1130.74028
Krejçí, Pavel; Sprekels, Jürgen
2007
Optimal boundary control of a phase field system modeling nonisothermal phase transitions. Zbl 1284.49028
Lefter, Cătălin; Sprekels, Jürgen
2007
A nonlocal phase-field model with nonconstant specific heat. Zbl 1129.74035
Krejči, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Optimization of elliptic systems. Theory and applications. Zbl 1106.49002
Neittaanmaki, Pekka; Sprekels, Jürgen; Tiba, Dan
2006
Long time behaviour of a singular phase transition model. Zbl 1137.80311
Krejčí, Pavel; Sprekels, Jürgen
2006
Optimization problems for curved mechanical structures. Zbl 1085.49044
Arnăutu, Viorel; Sprekels, Jürgen; Tiba, Dan
2005
A reduction approximation method for curved rods. Zbl 1069.74048
Arnăutu, Viorel; Sprekels, Jürgen; Tiba, Dan
2005
Modeling and simulation of sublimation growth of SiC bulk single crystals. Zbl 1081.35117
Klein, Olaf; Philip, Peter; Sprekels, Jürgen
2004
Nonlocal phase-field models for non-isothermal phase transitions and hysteresis. Zbl 1073.74042
Krejčí, Pavel; Sprekels, Jürgen
2004
Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions. Zbl 1023.35051
Sprekels, Jürgen; Zheng, Songmu
2003
One-dimensional thermo-viscoplastic processes with hysteresis and phase transitions. Zbl 1049.74036
Krejčí, Pavel; Sprekels, Jürgen; Stefanelli, Ulisse
2003
Optimization of clamped plates with discontinuous thickness. Zbl 1157.49318
Sprekels, Jürgen; Tiba, Dan
2003
On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066
Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen
2002
Phase-field models with hysteresis in one-dimensional thermoviscoplasticity. Zbl 1034.34053
Krejcí, Pavel; Sprekels, Jürgen; Stefanelli, Ulisse
2002
A model of a general elastic curved rod. Zbl 1023.74024
Ignat, Anca; Sprekels, Jürgen; Tiba, Dan
2002
An analytic approach to a generalized Naghdi shell model. Zbl 1183.74157
Sprekels, Jürgen; Tiba, Dan
2002
Phase-field systems for multi-dimensional Prandtl-Ishlinskii operators with non-polyhedral characteristics. Zbl 1001.35118
Sprekels, Jürgen; Krejčí, Pavel
2002
Optimal control of complex structures. Proceedings of the international conference, Oberwolfach, Germany, June 4–10, 2000. Zbl 0997.00022
2002
Parabolic regularization of differential inclusions and the stop operator. Zbl 1020.35109
Krejčí, Pavel; Sprekels, Jürgen
2002
Phase-field systems with vectorial order parameters including diffusional hysteresis effects. Zbl 1028.35063
Kenmochi, N.; Sprekels, J.
2002
Control variational methods for differential equations. Zbl 1024.49009
Sprekels, Jürgen; Tiba, Dan
2002
Asymptotic behaviour for a phase-field system with hysteresis. Zbl 1021.35131
Krejči, Pavel; Sprekels, Jürgen; Zeng, Songmu
2001
Analysis and optimization of nonsmooth arches. Zbl 1011.49028
Ignat, A.; Sprekels, J.; Tiba, D.
2001
Real-time optimal control of shape memory alloy actuators in smart structures. Zbl 1002.74070
Seelecke, Stefan; Büskens, Christof; Müller, Ingo; Sprekels, Jürgen
2001
A hysteresis approach to phase-field models. Zbl 0941.35123
Krejčí, P.; Sprekels, J.
2000
On the approximation and the optimization of plates. Zbl 0976.49025
Arnautu, V.; Langmach, H.; Sprekels, J.; Tiba, D.
2000
Phase-field models with hysteresis. Zbl 0983.74048
Krejčí, Pavel; Sprekels, Jürgen
2000
Hysteresis in phase-field models with thermal memory. Zbl 0957.35064
Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2000
Existence and asymptotic behaviour in phase-field models with hysteresis. Zbl 1049.74739
Krejčí, P.; Sprekels, J.; Zheng, S.
2000
Phase-field systems and vector hysteresis operators. Zbl 0965.35168
Krejčí, Pavel; Sprekels, Jürgen
2000
Automatic control via thermostats of a hyperbolic Stefan problem with memory. Zbl 0931.35198
Colli, P.; Grasselli, M.; Sprekels, J.
1999
Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law. Zbl 0930.35036
Colli, Pierluigi; Sprekels, Jürgen
1999
A duality approach in the optimization of beams and plates. Zbl 0926.49023
Sprekels, J.; Tiba, D.
1999
Nonlinear equations in non-reflexive Banach spaces and strongly nonlinear differential equations. Zbl 0948.35069
Soltanov, Kamal N.; Sprekels, Jürgen
1999
...and 66 more Documents
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### Cited by 795 Authors

 69 Sprekels, Jürgen 68 Colli, Pierluigi 41 Rocca, Elisabetta 39 Krejčí, Pavel 38 Gilardi, Gianni 24 Miranville, Alain M. 23 Grasselli, Maurizio 16 Scarpa, Luca 15 Rachinskii, Dmitrii I. 14 Giorgi, Claudio 14 Schimperna, Giulio 13 Roubíček, Tomáš 13 Signori, Andrea 13 Stefanelli, Ulisse 12 Fabrizio, Mauro 12 Tiba, Dan 12 Timoshin, Sergey A. 11 Hoffmann, Karl-Heinz 11 Marinoschi, Gabriela 11 Visintin, Augusto 10 Bonetti, Elena 10 Eleuteri, Michela 10 Frigeri, Sergio 9 Brokate, Martin 9 Fukao, Takeshi 9 Gal, Ciprian Gheorghe Sorin 9 Mielke, Alexander 9 Tarzia, Domingo Alberto 9 Tröltzsch, Fredi 9 Wu, Hao 9 Zheng, Songmu 8 Abdulla, Ugur G. 8 Gurevich, Pavel L. 8 Kopfová, Jana 8 Lam, Kei Fong 8 Morro, Angelo 8 Qin, Yuming 8 Yoshikawa, Shuji 8 Zheng, Jiashan 7 Aiki, Toyohiko 7 Druet, Pierre-Étienne 7 Garcke, Harald 7 Jiang, Daqing 7 Kubo, Masahiro 7 Recupero, Vincenzo 7 Tan, Xiaobo 7 Zhu, Peicheng 6 Antil, Harbir 6 Boldrini, José Luiz 6 Cavaterra, Cecilia 6 Kenmochi, Nobuyuki 6 Klein, Olaf 6 Knopf, Patrik 6 Liu, Chein-Shan 6 Niezgódka, Marek 6 Quintanilla de Latorre, Ramón 6 Tesei, Alberto 5 Berti, Alessia 5 Frémond, Michel 5 Hintermüller, Michael 5 Melnik, Roderick V. Nicholas 5 Murea, Cornel Marius 5 Shirakawa, Ken 5 Tomassetti, Giuseppe 5 Wang, Linxiang 5 Wang, Yifu 4 Arnăutu, Viorel 4 Barbu, Viorel 4 Biswas, Tania 4 Colturato, Michele 4 Cui, Xia 4 Davoli, Elisa 4 Dharmatti, Sheetal 4 Heinemann, Christian 4 Hömberg, Dietmar 4 Ikhouane, Fayçal 4 Kordulová, Petra 4 Kraus, Christiane 4 Kuhnen, Klaus 4 Kunisch, Karl 4 Logemann, Hartmut 4 Minchev, Emil 4 Papageorgiou, Nikolaos S. 4 Rossi, Riccarda 4 Ryan, Eugene P. 4 Segatti, Antonio 4 Smarrazzo, Flavia 4 Tolstonogov, Aleksandr Aleksandrovich 4 Voss, Heinrich 4 You, Bo 4 Zhao, Xiaopeng 3 Alber, Hans-Dieter 3 Amosov, Andreĭ Avenirovich 3 Bagagiolo, Fabio 3 Banks, Harvey Thomas 3 Bîrsan, Mircea 3 Boukrouche, Mahdi 3 Briozzo, Adriana C. 3 Caretta, Bianca Morelli Calsavara 3 Cherfils, Laurence ...and 695 more Authors
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### Cited in 180 Serials

 51 Journal of Mathematical Analysis and Applications 44 Journal of Differential Equations 38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Mathematical Methods in the Applied Sciences 28 Applied Mathematics and Optimization 22 Nonlinear Analysis. Real World Applications 20 Discrete and Continuous Dynamical Systems. Series S 17 Archive for Rational Mechanics and Analysis 17 Applications of Mathematics 16 Automatica 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Numerical Functional Analysis and Optimization 14 SIAM Journal on Control and Optimization 14 Discrete and Continuous Dynamical Systems 13 Continuum Mechanics and Thermodynamics 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 Discrete and Continuous Dynamical Systems. Series B 12 Journal of Computational and Applied Mathematics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Mathematical Modelling of Natural Phenomena 10 Evolution Equations and Control Theory 9 Computers & Mathematics with Applications 9 NoDEA. Nonlinear Differential Equations and Applications 9 Communications on Pure and Applied Analysis 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Applied Mathematics and Computation 8 Physica D 8 Boundary Value Problems 8 Nonlinear Analysis. Theory, Methods & Applications 7 International Journal of Control 7 Journal of Optimization Theory and Applications 7 Numerische Mathematik 7 Quarterly of Applied Mathematics 7 Asymptotic Analysis 7 Calculus of Variations and Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Applicable Analysis 5 Nonlinearity 5 Mathematics and Computers in Simulation 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Mathematical and Computer Modelling 5 European Journal of Applied Mathematics 5 Mathematics and Mechanics of Solids 5 Milan Journal of Mathematics 5 Mathematical Control and Related Fields 4 International Journal of Engineering Science 4 Journal of Computational Physics 4 Computing 4 Systems & Control Letters 4 Zeitschrift für Analysis und ihre Anwendungen 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Numerical Mathematics 4 Applied Mathematics Letters 4 Journal of Scientific Computing 4 Journal of Integral Equations and Applications 4 Journal of Elasticity 4 Computational Optimization and Applications 4 Journal of Mathematical Sciences (New York) 4 European Journal of Control 4 Nonlinear Dynamics 4 Journal of Mathematical Fluid Mechanics 4 Journal of Dynamical and Control Systems 4 Differential Equations 4 Journal of Evolution Equations 3 Acta Mechanica 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Mathematical Biology 3 Journal of Mathematical Physics 3 Czechoslovak Mathematical Journal 3 SIAM Journal on Numerical Analysis 3 Optimization 3 Journal of Dynamics and Differential Equations 3 Journal of Nonlinear Science 3 Mathematical Problems in Engineering 3 Doklady Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 GAMM-Mitteilungen 3 AIMS Mathematics 2 Inverse Problems 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematische Nachrichten 2 Meccanica 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Numerical Methods for Partial Differential Equations 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Global Optimization 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Scientific Computing 2 Topological Methods in Nonlinear Analysis 2 Physics of Fluids 2 Journal of Convex Analysis 2 Nonlinear Analysis. Modelling and Control 2 Computational Methods in Applied Mathematics 2 SIAM Journal on Applied Dynamical Systems ...and 80 more Serials
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### Cited in 37 Fields

 537 Partial differential equations (35-XX) 225 Mechanics of deformable solids (74-XX) 185 Calculus of variations and optimal control; optimization (49-XX) 144 Classical thermodynamics, heat transfer (80-XX) 108 Numerical analysis (65-XX) 97 Fluid mechanics (76-XX) 94 Operator theory (47-XX) 91 Ordinary differential equations (34-XX) 90 Systems theory; control (93-XX) 58 Statistical mechanics, structure of matter (82-XX) 46 Biology and other natural sciences (92-XX) 41 Integral equations (45-XX) 37 Dynamical systems and ergodic theory (37-XX) 24 Operations research, mathematical programming (90-XX) 22 Optics, electromagnetic theory (78-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Probability theory and stochastic processes (60-XX) 10 Real functions (26-XX) 5 Functional analysis (46-XX) 4 Computer science (68-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX)