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Author ID: mielke.alexander Recent zbMATH articles by "Mielke, Alexander"
Published as: Mielke, Alexander; Mielke, A.
Homepage: http://www.wias-berlin.de/people/mielke/
External Links: MGP · ORCID · Wikidata · arXiv · GND · IdRef
Documents Indexed: 202 Publications since 1986, including 4 Books
11 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 119 Co-Authors with 149 Joint Publications
3,051 Co-Co-Authors
all top 5

Co-Authors

62 single-authored
14 Roubíček, Tomáš
13 Savaré, Giuseppe
9 Rossi, Riccarda
8 Giannoulis, Johannes
8 Peletier, Mark Adriaan
7 Afendikov, Andrei L.
7 Stefanelli, Ulisse
5 Knees, Dorothee
5 Liero, Matthias
5 Petrov, Adrien
5 Schneider, Guido
5 Thomas, Marita
4 Iooss, Gérard
4 Zelik, Sergey V.
3 Hackl, Klaus
3 Herrmann, Michael
3 Holmes, Philip J.
3 Kuczma, Mieczysław S.
3 Mainik, Andreas
3 Mittnenzweig, Markus
3 Paoli, Laetitia A.
3 Renger, D. R. Michiel
3 Zanini, Chiara
2 Bridges, Thomas J.
2 Dreyer, Wolfgang
2 Francfort, Gilles A.
2 Frenzel, Thomas
2 Gallay, Thierry
2 Govindjee, Sanjay
2 Hall, Garrett J.
2 Haskovec, Jan
2 Heinz, Sebastian
2 Hopf, Katharina
2 Kaiser, Hans-Christoph
2 Kirchgässner, Klaus
2 Markowich, Peter Alexander
2 Ortiz, Michael
2 Patz, Carsten
2 Rehberg, Joachim
2 Reichelt, Sina
2 Schmid, Florian
2 Slepčev, Dejan
2 Sparber, Christof
2 Sprenger, Pius
2 Stephan, Artur
2 Theil, Florian
2 Timofte, Aida M.
2 Wolfrum, Matthias
2 Yanchuk, Sergiĭ Volodymyrovych
1 Abels, Helmut
1 Afendikov, Andrej
1 Ambrosio, Luigi
1 Arnrich, Steffen
1 Auricchio, Ferdinando
1 Bacho, Aras
1 Bär, Markus
1 Bartels, Sören
1 Becker, Maximilian
1 Bouchitté, Guy
1 Buffoni, Boris
1 Burylko, Oleksandr
1 Carstensen, Carsten
1 Dal Maso, Gianni
1 Dangelmayr, Gerhard
1 Demay, Yves
1 Disser, Karoline
1 Dondl, Patrick Werner
1 Efendiev, Messoud
1 Emmrich, Etienne
1 Fiedler, Bernold
1 Fischer, Julian
1 Glitzky, Annegret
1 Groves, Mark D.
1 Gürses, Ercan
1 Gussmann, Pascal
1 Heida, Martin
1 Helmig, Rainer
1 Hittmeir, Sabine
1 Huth, Robert
1 Kantner, Markus
1 Kirrmann, Pius
1 Kniely, Michael
1 Kočvara, Michal
1 Koprucki, Thomas
1 Kružík, Martin
1 Kutz, J. Nathan
1 Laschos, Vaios
1 Levitas, Valery I.
1 Lücken, Leonhard
1 Maas, Jan
1 Maltsi, Anieza
1 Martins, João A. C.
1 Miehe, Christian
1 Mittenhuber, Dirk
1 Müller, Stefan
1 Naumann, Joachim
1 Netz, Roland R.
1 Niedermayer, Thomas
1 O’Reilly, Oliver Mary
1 Ortner, Christoph
...and 19 more Co-Authors
all top 5

Serials

11 Archive for Rational Mechanics and Analysis
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Nonlinearity
7 SIAM Journal on Mathematical Analysis
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Calculus of Variations and Partial Differential Equations
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Oberwolfach Reports
6 Discrete and Continuous Dynamical Systems. Series S
5 Journal of Differential Equations
5 Journal of Dynamics and Differential Equations
5 Journal of Nonlinear Science
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Discrete and Continuous Dynamical Systems
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 PAMM. Proceedings in Applied Mathematics and Mechanics
3 Mathematical Methods in the Applied Sciences
3 Journal of Elasticity
3 Continuum Mechanics and Thermodynamics
2 Communications in Mathematical Physics
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of the Mechanics and Physics of Solids
2 Journal of Statistical Physics
2 Rocky Mountain Journal of Mathematics
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Mathematische Nachrichten
2 SIAM Journal on Numerical Analysis
2 Physica D
2 SIAM Journal on Applied Mathematics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Convex Analysis
2 Mathematics and Mechanics of Solids
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Evolution Equations
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Advances in Calculus of Variations
1 Applicable Analysis
1 Archives of Mechanics
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Russian Mathematical Surveys
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Zeitschrift für Analysis und ihre Anwendungen
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Asymptotic Analysis
1 European Journal of Mechanics. B. Fluids
1 European Journal of Applied Mathematics
1 Advances in Mathematical Sciences and Applications
1 Potential Analysis
1 Tatra Mountains Mathematical Publications
1 Doklady Mathematics
1 Chaos
1 Journal of Mathematical Fluid Mechanics
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Multiscale Modeling & Simulation
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 GAMM-Mitteilungen
1 Advanced Series in Nonlinear Dynamics
1 Applied Mathematical Sciences
1 Lecture Notes in Mathematics
1 Lecture Notes in Applied and Computational Mechanics
1 Networks and Heterogeneous Media
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Physics. Conference Series

Publications by Year

Citations contained in zbMATH Open

179 Publications have been cited 4,008 times in 1,790 Documents Cited by Year
Evolution of rate-independent systems. Zbl 1120.47062
Mielke, Alexander
138
2005
Non-convex potentials and microstructures in finite-strain plasticity. Zbl 1008.74016
Carstensen, Carsten; Hackl, Klaus; Mielke, Alexander
122
2002
On rate-independent hysteresis models. Zbl 1061.35182
Mielke, Alexander; Theil, Florian
109
2004
Rate-independent systems. Theory and application. Zbl 1339.35006
Mielke, Alexander; Roubíček, Tomáš
107
2015
A variational formulation of rate-independent phase transformations using an extremum principle. Zbl 1012.74054
Mielke, Alexander; Theil, Florian; Levitas, Valery I.
99
2002
A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161
Mielke, Alexander
96
2011
Existence results for energetic models for rate-independent systems. Zbl 1161.74387
Mainik, Andreas; Mielke, Alexander
86
2005
The validity of modulation equations for extended systems with cubic nonlinearities. Zbl 0786.35122
Kirrmann, Pius; Schneider, Guido; Mielke, Alexander
80
1992
Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016
Mielke, Alexander; Schneider, Guido
78
1995
\(\Gamma\)-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
76
2008
Existence results for a class of rate-independent material models with nonconvex elastic energies. Zbl 1101.74015
Francfort, Gilles; Mielke, Alexander
74
2006
Reduction of quasilinear equations in cylindrical domains with applications. Zbl 0647.35034
Mielke, Alexander
73
1988
Energetic formulation of multiplicative elasto-plasticity using dissipation distances. Zbl 1068.74522
Mielke, A.
70
2003
Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems. Zbl 0747.58001
Mielke, Alexander
67
1991
Geodesic convexity of the relative entropy in reversible Markov chains. Zbl 1282.60072
Mielke, Alexander
64
2013
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
58
2012
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
58
2008
A reduction principle for nonautonomous systems in infinite-dimensional spaces. Zbl 0601.35018
Mielke, Alexander
57
1986
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
56
2006
Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center. Zbl 0749.58022
Mielke, A.; Holmes, P.; O’Reilly, O.
53
1992
On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040
Efendiev, Messoud A.; Mielke, Alexander
50
2006
Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. Zbl 1412.49089
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
47
2018
The Ginzburg-Landau equation in its role as a modulation equation. Zbl 1041.37037
Mielke, Alexander
46
2002
Damage of nonlinearly elastic materials at small strain – existence and regularity results. Zbl 1191.35159
Thomas, M.; Mielke, A.
45
2010
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Zbl 1304.35692
Mielke, A.; Peletier, M. A.; Renger, D. R. M.
45
2014
The complex Ginzburg-Landau equation on large and unbounded domains: Sharper bounds and attractors. Zbl 0905.35043
Mielke, Alexander
42
1997
Differential, energetic, and metric formulations for rate-independent processes. Zbl 1251.35003
Mielke, Alexander
40
2011
Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
40
2009
Finite elastoplasticity Lie groups and geodesics on \(\text{SL}(d)\). Zbl 1146.74309
Mielke, Alexander
40
2002
Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013
Mainik, Andreas; Mielke, Alexander
38
2009
Nonsmooth analysis of doubly nonlinear evolution equations. Zbl 1270.35289
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
36
2013
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
36
2008
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
35
2006
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. Zbl 1347.49078
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
35
2016
A spatial dynamics approach to three-dimensional gravity-capillary steady water waves. Zbl 0976.76012
Groves, M. D.; Mielke, A.
35
2001
Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149
Liero, Matthias; Mielke, Alexander
34
2013
A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207
Mielke, Alexander; Roubíček, Tomáš
34
2003
A proof of the Benjamin-Feir instability. Zbl 0845.76029
Bridges, Thomas J.; Mielke, Alexander
34
1995
Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi. Zbl 1106.74048
Kružík, Martin; Mielke, Alexander; Roubíček, Tomáš
33
2005
Two-scale homogenization for evolutionary variational inequalities via the energetic formulation. Zbl 1185.35282
Mielke, Alexander; Timofte, Aida M.
33
2007
Instability and stability of rolls in the Swift-Hohenberg equation. Zbl 0897.76037
Mielke, Alexander
33
1997
Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. Zbl 1357.35007
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
30
2016
Thermomechanical modeling of energy-reaction-diffusion systems, including bulk-interface interactions. Zbl 1262.35127
Mielke, Alexander
30
2013
Formulation of thermoelastic dissipative material behavior using GENERIC. Zbl 1272.74137
Mielke, Alexander
30
2011
Existence of minimizers in incremental elasto-plasticity with finite strains. Zbl 1076.74012
Mielke, Alexander
29
2004
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
28
2006
A rate-independent model for the isothermal quasi-static evolution of shape-memory materials. Zbl 1151.74319
Auricchio, Ferdinando; Mielke, Alexander; Stefanelli, Ulisse
28
2008
Complete damage in elastic and viscoelastic media and its energetics. Zbl 1227.74058
Mielke, Alexander; Roubíček, Tomáš; Zeman, Jan
27
2010
Saint-Venant’s problem and semi-inverse solutions in nonlinear elasticity. Zbl 0651.73006
Mielke, Alexander
27
1988
A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces. Zbl 1270.35256
Glitzky, Annegret; Mielke, Alexander
27
2013
Existence and uniqueness results for a class of rate-independent hysteresis problems. Zbl 1121.34052
Mielke, Alexander; Rossi, Riccarda
26
2007
A metric approach to a class of doubly nonlinear evolution equations and applications. Zbl 1183.35164
Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe
26
2008
Weighted energy-dissipation functionals for gradient flows. Zbl 1218.35007
Mielke, Alexander; Stefanelli, Ulisse
26
2011
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
26
2015
Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055
Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
25
2012
Spatially complex equilibria of buckled rods. Zbl 0655.73029
Mielke, Alexander; Holmes, Philip
25
1988
A complete-damage problem at small strains. Zbl 1238.74005
Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš
25
2009
Theory of steady Ginzburg-Landau equation, in hydrodynamic stability problems. Zbl 0675.76060
Iooss, G.; Mielke, A.; Demay, Y.
24
1989
The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities. Zbl 1092.37050
Giannoulis, Johannes; Mielke, Alexander
24
2004
Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105
Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş
23
2012
Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transforms. Zbl 1152.82024
Mielke, Alexander
23
2006
Normal hyperbolicity of center manifolds and Saint-Venant’s principle. Zbl 0706.73016
Mielke, Alexander
23
1990
Crack growth in polyconvex materials. Zbl 1201.49013
Knees, Dorothee; Zanini, Chiara; Mielke, Alexander
23
2010
Multi-pulse evolution and space-time chaos in dissipative systems. Zbl 1163.37003
Zelik, Sergey; Mielke, Alexander
23
2009
Energy release rate for cracks in finite-strain elasticity. Zbl 1132.74038
Knees, Dorothee; Mielke, Alexander
23
2008
Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders. Zbl 0797.76010
Iooss, G.; Mielke, A.
23
1991
The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis. Zbl 1116.74399
Govindjee, Sanjay; Mielke, Alexander; Hall, Garrett J.
23
2002
Quasiconvexity at the boundary and a simple variational formulation of Agmon’s condition. Zbl 0922.73077
Mielke, Alexander; Sprenger, Pius
22
1998
Rate-independent elastoplasticity at finite strains and its numerical approximation. Zbl 1349.35371
Mielke, Alexander; Roubíček, Tomáš
20
2016
Essential manifolds for an elliptic problem in an infinite strip. Zbl 0814.35028
Mielke, Alexander
20
1994
Micro-macro transition in the atomic chain via Whitham’s modulation equation. Zbl 1134.37362
Dreyer, W.; Herrmann, M.; Mielke, A.
19
2006
A new identity for the surface-impedance matrix and its application to the determination of surface wave speeds. Zbl 1018.74020
Fu, Y. B.; Mielke, A.
19
2002
On microscopic origins of generalized gradient structures. Zbl 06672848
Liero, Matthias; Mielke, Alexander; Peletier, Mark; Renger, D. R. Michiel
18
2017
Deriving new evolution equations for microstructures via relaxation of variational incremental problems. Zbl 1112.74332
Mielke, Alexander
18
2004
On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation terms. Zbl 1295.35036
Mielke, Alexander; Zelik, Sergey
17
2014
An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models. Zbl 1376.82046
Mittnenzweig, Markus; Mielke, Alexander
17
2017
From discrete visco-elasticity to continuum rate-independent plasticity: rigorous results. Zbl 1286.74024
Mielke, Alexander; Truskinovsky, Lev
16
2012
Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity. Zbl 1334.74021
Mielke, Alexander; Stefanelli, Ulisse
16
2013
On the energetic stability of solitary water waves. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1068.76009
Mielke, Alexander
16
2002
A discrete variational principle for rate-independent evolution. Zbl 1180.35283
Mielke, Alexander; Stefanelli, Ulisse
16
2008
Necessary and sufficient conditions for polyconvexity of isotropic functions. Zbl 1098.49013
Mielke, Alexander
15
2005
An energetic material model for time-dependent ferroelectric behaviour: existence and uniqueness. Zbl 1096.74017
Mielke, Alexander; Timofte, Aida M.
15
2006
Bounds for the solutions of the complex Ginzburg-Landau equation in terms of the dispersion parameters. Zbl 0939.35033
Mielke, Alexander
15
1998
From damage to delamination in nonlinearly elastic materials at small strains. Zbl 1253.74088
Mielke, Alexander; Roubíček, Tomáš; Thomas, Marita
15
2012
Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025
Mielke, Alexander
15
2004
Error estimates for space-time discretizations of a rate-independent variational inequality. Zbl 1219.65059
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse
15
2010
Dispersive evolution of pulses in oscillator chains with general interaction potentials. Zbl 1152.34035
Giannoulis, Johannes; Mielke, Alexander
14
2006
On existence and approximation for a 3D model of thermally induced phase transformations in shape-memory alloys. Zbl 1201.49011
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien
14
2009
The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis. Zbl 1088.74040
Govindjee, Sanjay; Mielke, Alexander; Hall, Garrett J.
14
2003
Complete-damage evolution based on energies and stresses. Zbl 1209.74010
Mielke, Alexander
14
2011
A mathematical framework for generalized standard materials in the rate-independent case. Zbl 1298.74006
Mielke, Alexander
14
2006
Über maximale \(L^ p\)-Regularität für Differentialgleichungen in Banach- und Hilbert-Räumen. (On maximal \(L^ p\)-regularity for differential equations in Banach and Hilbert spaces). Zbl 0597.47029
Mielke, Alexander
13
1987
Variational convergence of gradient flows and rate-independent evolutions in metric spaces. Zbl 1255.49078
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
13
2012
Thermally driven phase transformation in shape-memory alloys. Zbl 1138.49014
Mielke, Alexander; Petrov, Adrien
13
2007
Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential. Zbl 1185.35256
Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof
13
2008
Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. Zbl 1370.80001
Mielke, Alexander; Patterson, Robert I. A.; Peletier, Mark A.; Renger, D. R. Michiel
13
2017
Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052
Mielke, Alexander; Reichelt, Sina; Thomas, Marita
13
2014
An evolutionary elastoplastic plate model derived via \(\Gamma\)-convergence. Zbl 1232.35165
Liero, Matthias; Mielke, Alexander
12
2011
On Saint-Venant’s problem for an elastic strip. Zbl 0657.73003
Mielke, Alexander
12
1988
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
12
2018
Global existence analysis of energy-reaction-diffusion systems. Zbl 1483.35262
Fischer, Julian; Hopf, Katharina; Kniely, Michael; Mielke, Alexander
1
2022
Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation. Zbl 1481.35310
Eiter, Thomas; Hopf, Katharina; Mielke, Alexander
1
2022
EDP-convergence for nonlinear fast-slow reaction systems with detailed balance. Zbl 1475.35183
Mielke, Alexander; Peletier, Mark A.; Stephan, Artur
2
2021
Thermoviscoelasticity in Kelvin-Voigt rheology at large strains. Zbl 1444.74012
Mielke, Alexander; Roubíček, Tomáš
7
2020
Coarse-graining via EDP-convergence for linear fast-slow reaction systems. Zbl 1454.60113
Mielke, Alexander; Stephan, Artur
6
2020
Modeling of chemical reaction systems with detailed balance using gradient structures. Zbl 1462.80011
Maas, Jan; Mielke, Alexander
2
2020
A gradient system with a wiggly energy and relaxed EDP-convergence. Zbl 1444.35101
Dondl, Patrick; Frenzel, Thomas; Mielke, Alexander
9
2019
Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures. Zbl 1422.60009
Laschos, Vaios; Mielke, Alexander
8
2019
An existence result and evolutionary \(\varGamma \)-convergence for perturbed gradient systems. Zbl 1420.35029
Bacho, Aras; Emmrich, Etienne; Mielke, Alexander
1
2019
Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. Zbl 1412.49089
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
47
2018
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
12
2018
Global existence results for viscoplasticity at finite strain. Zbl 1387.35574
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
8
2018
Coexistence of Hamiltonian-like and dissipative dynamics in rings of coupled phase oscillators with skew-symmetric coupling. Zbl 1401.34040
Burylko, Oleksandr; Mielke, Alexander; Wolfrum, Matthias; Yanchuk, Serhiy
8
2018
Convergence to equilibrium in energy-reaction-diffusion systems using vector-valued functional inequalities. Zbl 1390.35156
Mielke, Alexander; Mittnenzweig, Markus
5
2018
Three examples concerning the interaction of dry friction and oscillations. Zbl 1407.49013
Mielke, Alexander
1
2018
On microscopic origins of generalized gradient structures. Zbl 06672848
Liero, Matthias; Mielke, Alexander; Peletier, Mark; Renger, D. R. Michiel
18
2017
An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models. Zbl 1376.82046
Mittnenzweig, Markus; Mielke, Alexander
17
2017
Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. Zbl 1370.80001
Mielke, Alexander; Patterson, Robert I. A.; Peletier, Mark A.; Renger, D. R. Michiel
13
2017
Averaging of time-periodic dissipation potentials in rate-independent processes. Zbl 1426.34075
Heida, Martin; Mielke, Alexander
1
2017
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. Zbl 1347.49078
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
35
2016
Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. Zbl 1357.35007
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
30
2016
Rate-independent elastoplasticity at finite strains and its numerical approximation. Zbl 1349.35371
Mielke, Alexander; Roubíček, Tomáš
20
2016
Balanced-viscosity solutions for multi-rate systems. Zbl 1465.70060
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
3
2016
Existence, numerical convergence and evolutionary relaxation for a rate-independent phase-transformation model. Zbl 1353.82054
Heinz, Sebastian; Mielke, Alexander
2
2016
Rate-independent systems. Theory and application. Zbl 1339.35006
Mielke, Alexander; Roubíček, Tomáš
107
2015
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
26
2015
Global existence for a nonlocal and nonlinear Fokker-Planck equation. Zbl 1325.35227
Dreyer, Wolfgang; Huth, Robert; Mielke, Alexander; Rehberg, Joachim; Winkler, Michael
6
2015
Deriving amplitude equations via evolutionary \(\Gamma\)-convergence. Zbl 1332.35347
Mielke, Alexander
6
2015
Spectrum and amplitude equations for scalar delay-differential equations with large delay. Zbl 1312.34100
Yanchuk, Serhiy; Lücken, Leonhard; Wolfrum, Matthias; Mielke, Alexander
4
2015
On thermodynamical couplings of quantum mechanics and macroscopic systems. Zbl 1339.81060
Mielke, A.
4
2015
Global-in-time existence of weak solutions to Kolmogorov’s two-equation model of turbulence. (Sur l’existence globale en temps des solutions faibles pour le modèle de turbulence à deux équations de Kolmogorov.) Zbl 1320.35262
Mielke, Alexander; Naumann, Joachim
2
2015
Variational approaches and methods for dissipative material models with multiple scales. Zbl 1365.74087
Mielke, Alexander
1
2015
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Zbl 1304.35692
Mielke, A.; Peletier, M. A.; Renger, D. R. M.
45
2014
On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation terms. Zbl 1295.35036
Mielke, Alexander; Zelik, Sergey
17
2014
Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052
Mielke, Alexander; Reichelt, Sina; Thomas, Marita
13
2014
An approach to nonlinear viscoelasticity via metric gradient flows. Zbl 1317.74024
Mielke, Alexander; Ortner, Christoph; Şengül, Yasemin
10
2014
Geodesic convexity of the relative entropy in reversible Markov chains. Zbl 1282.60072
Mielke, Alexander
64
2013
Nonsmooth analysis of doubly nonlinear evolution equations. Zbl 1270.35289
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
36
2013
Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149
Liero, Matthias; Mielke, Alexander
34
2013
Thermomechanical modeling of energy-reaction-diffusion systems, including bulk-interface interactions. Zbl 1262.35127
Mielke, Alexander
30
2013
A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces. Zbl 1270.35256
Glitzky, Annegret; Mielke, Alexander
27
2013
Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity. Zbl 1334.74021
Mielke, Alexander; Stefanelli, Ulisse
16
2013
Dissipative quantum mechanics using GENERIC. Zbl 1315.81061
Mielke, Alexander
7
2013
Homogenization of elastic waves in fluid-saturated porous media using the Biot model. Zbl 1311.35017
Mielke, Alexander; Rohan, Eduard
6
2013
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
58
2012
Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055
Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
25
2012
Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105
Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş
23
2012
From discrete visco-elasticity to continuum rate-independent plasticity: rigorous results. Zbl 1286.74024
Mielke, Alexander; Truskinovsky, Lev
16
2012
From damage to delamination in nonlinearly elastic materials at small strains. Zbl 1253.74088
Mielke, Alexander; Roubíček, Tomáš; Thomas, Marita
15
2012
Variational convergence of gradient flows and rate-independent evolutions in metric spaces. Zbl 1255.49078
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
13
2012
A model for the evolution of laminates in finite-strain elastoplasticity. Zbl 1348.74060
Hackl, K.; Heinz, S.; Mielke, A.
11
2012
Emergence of rate-independent dissipation from viscous systems with wiggly energies. Zbl 1258.74169
Mielke, Alexander
6
2012
A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161
Mielke, Alexander
96
2011
Differential, energetic, and metric formulations for rate-independent processes. Zbl 1251.35003
Mielke, Alexander
40
2011
Formulation of thermoelastic dissipative material behavior using GENERIC. Zbl 1272.74137
Mielke, Alexander
30
2011
Weighted energy-dissipation functionals for gradient flows. Zbl 1218.35007
Mielke, Alexander; Stefanelli, Ulisse
26
2011
Complete-damage evolution based on energies and stresses. Zbl 1209.74010
Mielke, Alexander
14
2011
An evolutionary elastoplastic plate model derived via \(\Gamma\)-convergence. Zbl 1232.35165
Liero, Matthias; Mielke, Alexander
12
2011
On thermodynamically consistent models and gradient structures for thermoplasticity. Zbl 1279.74008
Mielke, Alexander
4
2011
Damage of nonlinearly elastic materials at small strain – existence and regularity results. Zbl 1191.35159
Thomas, M.; Mielke, A.
45
2010
Complete damage in elastic and viscoelastic media and its energetics. Zbl 1227.74058
Mielke, Alexander; Roubíček, Tomáš; Zeman, Jan
27
2010
Crack growth in polyconvex materials. Zbl 1201.49013
Knees, Dorothee; Zanini, Chiara; Mielke, Alexander
23
2010
Error estimates for space-time discretizations of a rate-independent variational inequality. Zbl 1219.65059
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse
15
2010
Dispersive stability of infinite-dimensional Hamiltonian systems on lattices. Zbl 1200.37071
Mielke, Alexander; Patz, Carsten
8
2010
High-frequency averaging in semi-classical Hartree-type equations. Zbl 1229.35261
Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof
3
2010
Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
40
2009
Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013
Mainik, Andreas; Mielke, Alexander
38
2009
A complete-damage problem at small strains. Zbl 1238.74005
Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš
25
2009
Multi-pulse evolution and space-time chaos in dissipative systems. Zbl 1163.37003
Zelik, Sergey; Mielke, Alexander
23
2009
On existence and approximation for a 3D model of thermally induced phase transformations in shape-memory alloys. Zbl 1201.49011
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien
14
2009
Numerical approaches to rate-independent processes and applications in inelasticity. Zbl 1166.74010
Mielke, Alexander; Roubíček, Tomáš
11
2009
Reverse approximation of energetic solutions to rate-independent processes. Zbl 1163.49030
Mielke, Alexander; Rindler, Filip
6
2009
\(\Gamma\)-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
76
2008
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
58
2008
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
36
2008
A rate-independent model for the isothermal quasi-static evolution of shape-memory materials. Zbl 1151.74319
Auricchio, Ferdinando; Mielke, Alexander; Stefanelli, Ulisse
28
2008
A metric approach to a class of doubly nonlinear evolution equations and applications. Zbl 1183.35164
Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe
26
2008
Energy release rate for cracks in finite-strain elasticity. Zbl 1132.74038
Knees, Dorothee; Mielke, Alexander
23
2008
A discrete variational principle for rate-independent evolution. Zbl 1180.35283
Mielke, Alexander; Stefanelli, Ulisse
16
2008
Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential. Zbl 1185.35256
Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof
13
2008
Weak-convergence methods for Hamiltonian multiscale problems. Zbl 1144.35009
Mielke, Alexander
7
2008
Lagrangian and Hamiltonian two-scale reduction. Zbl 1152.81449
Giannoulis, Johannes; Herrmann, Michael; Mielke, Alexander
6
2008
Convergence of solutions of kinetic variational inequalities in the rate-independent quasi-static limit. Zbl 1147.49004
Mielke, Alexander; Petrov, Adrien; Martins, João A. C.
2
2008
Two-scale homogenization for evolutionary variational inequalities via the energetic formulation. Zbl 1185.35282
Mielke, Alexander; Timofte, Aida M.
33
2007
Existence and uniqueness results for a class of rate-independent hysteresis problems. Zbl 1121.34052
Mielke, Alexander; Rossi, Riccarda
26
2007
Thermally driven phase transformation in shape-memory alloys. Zbl 1138.49014
Mielke, Alexander; Petrov, Adrien
13
2007
Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction diffusion systems in \(\mathbb{R}^n\). Zbl 1125.35012
Mielke, Alexander; Zelik, Sergey V.
3
2007
A model for temperature-induced phase transformations in finite-strain elasticity. Zbl 1128.74035
Mielke, Alexander
2
2007
Existence results for a class of rate-independent material models with nonconvex elastic energies. Zbl 1101.74015
Francfort, Gilles; Mielke, Alexander
74
2006
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
56
2006
On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040
Efendiev, Messoud A.; Mielke, Alexander
50
2006
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
35
2006
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
28
2006
Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transforms. Zbl 1152.82024
Mielke, Alexander
23
2006
Micro-macro transition in the atomic chain via Whitham’s modulation equation. Zbl 1134.37362
Dreyer, W.; Herrmann, M.; Mielke, A.
19
2006
An energetic material model for time-dependent ferroelectric behaviour: existence and uniqueness. Zbl 1096.74017
Mielke, Alexander; Timofte, Aida M.
15
2006
Dispersive evolution of pulses in oscillator chains with general interaction potentials. Zbl 1152.34035
Giannoulis, Johannes; Mielke, Alexander
14
2006
A mathematical framework for generalized standard materials in the rate-independent case. Zbl 1298.74006
Mielke, Alexander
14
2006
Continuum descriptions for the dynamics in discrete lattices: derivation and justification. Zbl 1366.82036
Giannoulis, Johannes; Herrmann, Michael; Mielke, Alexander
8
2006
Analysis, modeling and simulation of multiscale problems. Zbl 1105.35002
6
2006
...and 79 more Documents
all top 5

Cited by 1,776 Authors

96 Mielke, Alexander
48 Schneider, Guido
47 Stefanelli, Ulisse
46 Roubíček, Tomáš
33 Rossi, Riccarda
28 Kružík, Martin
24 Neff, Patrizio
22 Scheel, Arnd
21 Mosler, Jörn
20 Peletier, Mark Adriaan
20 Valls Anglés, Cláudia
19 Hackl, Klaus
18 Savaré, Giuseppe
16 Barreira, Luis Manuel
16 Knees, Dorothee
16 Liero, Matthias
16 Mora, Maria Giovanna
15 Conti, Sergio
15 Thomas, Marita
14 Dal Maso, Gianni
14 Francfort, Gilles A.
14 Miehe, Christian
14 Zelik, Sergey V.
13 Lazzaroni, Giuliano
13 Marigo, Jean-Jacques
13 Ortiz, Michael
13 Uecker, Hannes
13 Zanini, Chiara
12 Deng, Shengfu
12 Groves, Mark D.
12 Li, Wuchen
12 Maas, Jan
11 Akagi, Goro
11 Bonetti, Elena
11 Düll, Wolf-Patrick
11 Heida, Martin
11 Negri, Matteo
11 Sandstede, Björn
10 Blömker, Dirk
10 Erbar, Matthias
10 Fellner, Klemens
10 Guo, Boling
10 Heinemann, Christian
10 Iooss, Gérard
10 James, Guillaume
10 Krejčí, Pavel
10 Solombrino, Francesco
10 Toader, Rodica
9 Carstensen, Carsten
9 Crismale, Vito
9 Herrmann, Michael
9 Il’ichev, Andreĭ Teĭmurazovich
9 Renger, D. R. Michiel
9 Zimmer, Johannes
8 Almi, Stefano
8 Benešová, Barbora
8 Bridges, Thomas J.
8 DeSimone, Antonio
8 Dondl, Patrick Werner
8 Gallay, Thierry
8 Gao, Hongjun
8 Giacomini, Alessandro
8 Hur, Vera Mikyoung
8 Junker, Philipp
8 Kochmann, Dennis M.
8 Kraus, Christiane
8 Kühn, Christian
8 Mantič, Vladislav
8 Mariano, Paolo Maria
8 Monsaingeon, Léonard
8 Neukamm, Stefan
8 Pelinovsky, Dmitry Efimovich
8 Schlichting, André
8 Tang, Bao Quoc
8 Wahlén, Erik
8 Zumbrun, Kevin R.
7 Bartels, Sören
7 Champneys, Alan R.
7 Davoli, Elisa
7 Dolzmann, Georg
7 Ghiba, Ionel-Dumitrel
7 Johnson, Mathew A.
7 Jüngel, Ansgar
7 Khludnev, Aleksandr Mikhaĭlovich
7 Lerman, Lev
7 Lloyd, David J. B.
7 Martin, Robert J.
7 Müller, Stefan
7 Nicholls, David P.
7 Schmitzer, Bernhard
7 Svendsen, Bob
7 Visintin, Augusto
7 Vorotnikov, Dmitry A.
7 Yanchuk, Sergiĭ Volodymyrovych
6 Alessi, Roberto
6 Auricchio, Ferdinando
6 Babadjian, Jean-François
6 Bonfanti, Giovanna
6 Dohnal, Tomáš
6 Duan, Jinqiao
...and 1,676 more Authors
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Cited in 256 Serials

101 Archive for Rational Mechanics and Analysis
96 Journal of Differential Equations
67 Physica D
52 Computer Methods in Applied Mechanics and Engineering
51 Continuum Mechanics and Thermodynamics
48 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
44 Journal of Nonlinear Science
40 Journal of the Mechanics and Physics of Solids
40 SIAM Journal on Mathematical Analysis
40 Calculus of Variations and Partial Differential Equations
35 ZAMP. Zeitschrift für angewandte Mathematik und Physik
34 Journal of Dynamics and Differential Equations
34 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
34 Discrete and Continuous Dynamical Systems. Series S
33 Journal of Mathematical Analysis and Applications
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Journal of Elasticity
27 Communications in Mathematical Physics
26 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
25 Discrete and Continuous Dynamical Systems
23 Mathematical Methods in the Applied Sciences
20 Journal of Statistical Physics
18 Journal of Functional Analysis
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
18 Mathematics and Mechanics of Solids
16 International Journal for Numerical Methods in Engineering
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 NoDEA. Nonlinear Differential Equations and Applications
16 Chaos
16 GAMM-Mitteilungen
15 Nonlinear Analysis. Real World Applications
14 Nonlinearity
13 Applicable Analysis
13 Computational Mechanics
13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
13 Journal of Evolution Equations
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 SIAM Journal on Applied Dynamical Systems
10 International Journal of Engineering Science
10 Journal of Mathematical Physics
10 Communications in Nonlinear Science and Numerical Simulation
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
9 Meccanica
9 Transactions of the American Mathematical Society
9 European Journal of Applied Mathematics
9 European Journal of Mechanics. A. Solids
8 International Journal of Plasticity
8 Wave Motion
8 Journal of Computational and Applied Mathematics
8 Communications in Partial Differential Equations
8 European Journal of Mechanics. B. Fluids
8 Discrete and Continuous Dynamical Systems. Series B
8 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
7 Journal of Computational Physics
7 Journal of Fluid Mechanics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal of Mathematical Sciences (New York)
7 Communications on Pure and Applied Analysis
7 Advances in Calculus of Variations
6 Acta Mechanica
6 Applied Mathematics and Optimization
6 Mathematische Nachrichten
6 Chinese Annals of Mathematics. Series B
6 Asymptotic Analysis
6 SIAM Journal on Applied Mathematics
6 Nonlinear Dynamics
5 Communications on Pure and Applied Mathematics
5 Quarterly of Applied Mathematics
5 Applied Mathematics Letters
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 Stochastic Processes and their Applications
5 Journal of Convex Analysis
5 Multiscale Modeling & Simulation
4 Computers & Mathematics with Applications
4 International Journal of Solids and Structures
4 Journal of Engineering Mathematics
4 Physica A
4 The Annals of Probability
4 Applied Mathematics and Computation
4 Inventiones Mathematicae
4 Journal of Optimization Theory and Applications
4 Numerische Mathematik
4 Studies in Applied Mathematics
4 Acta Applicandae Mathematicae
4 The Annals of Applied Probability
4 Applied Mathematical Modelling
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Physics of Fluids
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of Mathematical Fluid Mechanics
4 Journal of the European Mathematical Society (JEMS)
4 Archives of Computational Methods in Engineering
4 SIAM Journal on Imaging Sciences
4 Kinetic and Related Models
3 Theoretical and Mathematical Physics
3 Mathematics of Computation
3 Chaos, Solitons and Fractals
3 Advances in Mathematics
3 Integral Equations and Operator Theory
...and 156 more Serials
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Cited in 47 Fields

933 Partial differential equations (35-XX)
703 Mechanics of deformable solids (74-XX)
311 Calculus of variations and optimal control; optimization (49-XX)
261 Dynamical systems and ergodic theory (37-XX)
218 Fluid mechanics (76-XX)
155 Ordinary differential equations (34-XX)
132 Statistical mechanics, structure of matter (82-XX)
122 Numerical analysis (65-XX)
113 Probability theory and stochastic processes (60-XX)
95 Operator theory (47-XX)
70 Mechanics of particles and systems (70-XX)
57 Classical thermodynamics, heat transfer (80-XX)
46 Global analysis, analysis on manifolds (58-XX)
45 Biology and other natural sciences (92-XX)
42 Optics, electromagnetic theory (78-XX)
38 Differential geometry (53-XX)
26 Quantum theory (81-XX)
25 Measure and integration (28-XX)
25 Functional analysis (46-XX)
24 Operations research, mathematical programming (90-XX)
18 Difference and functional equations (39-XX)
15 Real functions (26-XX)
13 Systems theory; control (93-XX)
10 Computer science (68-XX)
10 Information and communication theory, circuits (94-XX)
9 Geophysics (86-XX)
8 Combinatorics (05-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Integral equations (45-XX)
7 General topology (54-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 General and overarching topics; collections (00-XX)
6 Statistics (62-XX)
5 Functions of a complex variable (30-XX)
4 Approximations and expansions (41-XX)
3 Convex and discrete geometry (52-XX)
3 Manifolds and cell complexes (57-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)

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