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Schimperna, Giulio

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 Author ID: schimperna.giulio Published as: Schimperna, Giulio; Schimperna, G. External Links: ORCID
 Documents Indexed: 86 Publications since 1999, including 1 Book
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Co-Authors

 7 single-authored 24 Rocca, Elisabetta 13 Grasselli, Maurizio 11 Miranville, Alain M. 11 Stefanelli, Ulisse 10 Feireisl, Eduard 10 Segatti, Antonio 7 Colli, Pierluigi 6 Gilardi, Gianni 6 Luterotti, Fabio 6 Petzeltová, Hana 6 Zelik, Sergey V. 5 Bonetti, Elena 4 Akagi, Goro 4 Zarnescu, Arghir Dani 3 Eleuteri, Michela 3 Scala, Riccardo 2 Dai, Mimi 2 Dreyer, Wolfgang 2 Pawlow, Irena 2 Scheid, Jean-François 2 Schonbek, Maria Elena 2 Sprekels, Jürgen 1 Favini, Angelo 1 Favre, Gianluca 1 Frémond, Michel 1 Frigeri, Sergio 1 Gatti, Stefania 1 Hilhorst, Danielle 1 Issard-Roch, Françoise 1 Kessler, Daniel P. 1 Lam, Kei Fong 1 Laurençot, Philippe 1 Lorenzi, Alfredo 1 Marveggio, Alice 1 Pražák, Dalibor 1 Rossi, Riccarda 1 Ruiz Goldstein, Giséle 1 Savaré, Giuseppe 1 Spinolo, Laura V.
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Serials

 8 Journal of Differential Equations 7 Discrete and Continuous Dynamical Systems 4 Nonlinearity 4 Asymptotic Analysis 3 Journal of Mathematical Analysis and Applications 3 Physica D 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Communications in Partial Differential Equations 3 Advances in Mathematical Sciences and Applications 3 Journal of Evolution Equations 3 Communications in Mathematical Sciences 2 Mathematical Methods in the Applied Sciences 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quarterly of Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Applied Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 Applications of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Continuum Mechanics and Thermodynamics 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Nonlinear Analysis. Real World Applications 1 Portugaliae Mathematica. Nova Série 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Springer INdAM Series 1 AIMS Mathematics
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Fields

 84 Partial differential equations (35-XX) 37 Classical thermodynamics, heat transfer (80-XX) 15 Mechanics of deformable solids (74-XX) 15 Fluid mechanics (76-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX)

Citations contained in zbMATH Open

76 Publications have been cited 1,012 times in 563 Documents Cited by Year
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417
Gilardi, Gianni; Miranville, A.; Schimperna, Giulio
2009
Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
2010
Local existence for Frémond’s model of damage in elastic materials. Zbl 1066.74048
Bonetti, E.; Schimperna, G.
2004
Long time behavior of solutions to the Caginalp system with singular potential. Zbl 1128.35021
Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio
2006
A new approach to non-isothermal models for nematic liquid crystals. Zbl 1282.76059
Feireisl, Eduard; Frémond, Michel; Rocca, Elisabetta; Schimperna, Giulio
2012
On the 2D Cahn-Hilliard equation with inertial term. Zbl 1173.35086
Grasselli, Maurizio; Schimperna, Giulio; Zelik, Sergey
2009
On a doubly nonlinear model for the evolution of damaging in viscoelastic materials. Zbl 1078.74048
Bonetti, Elena; Schimperna, Giulio; Segatti, Antonio
2005
Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations. Zbl 1342.35429
Akagi, Goro; Schimperna, Giulio; Segatti, Antonio
2016
The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials. Zbl 1194.35074
Grasselli, Maurizio; Miranville, Alain; Schimperna, Giulio
2010
Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1223.35067
Gilardi, Gianni; Miranville, Alain; Schimperna, Giulio
2010
On a non-isothermal model for nematic liquid crystals. Zbl 1372.76011
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio
2011
On a class of Cahn-Hilliard models with nonlinear diffusion. Zbl 1276.35101
Schimperna, Giulio; Pawłow, Irena
2013
On the 3D Cahn-Hilliard equation with inertial term. Zbl 1239.35160
Grasselli, Maurizio; Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey
2009
A Cahn-Hilliard model in a domain with non-permeable walls. Zbl 1228.35051
Goldstein, Gisèle Ruiz; Miranville, Alain; Schimperna, Giulio
2011
Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2017
Asymptotic behavior of a nonisothermal viscous Cahn-Hilliard equation with inertial term. Zbl 1129.35017
Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio
2007
Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential. Zbl 1330.76012
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2014
Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061
Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2002
Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy. Zbl 1446.76067
Feireisl, Eduard; Schimperna, Giulio; Rocca, Elisabetta; Zarnescu, Arghir
2015
Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term. Zbl 1198.35038
Grasselli, Maurizio; Schimperna, Giulio; Zelik, Sergey
2010
Well-posedness and long-time behavior for a class of doubly nonlinear equations. Zbl 1195.35185
Schimperna, Giulio; Segatti, Antonio; Stefanelli, Ulisse
2007
Universal attractor for some singular phase transition systems. Zbl 1062.82015
Rocca, Elisabetta; Schimperna, Giulio
2004
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
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials. Zbl 1404.35456
Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio
2018
On the long time behavior of a tumor growth model. Zbl 1416.35279
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio
2019
Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions. Zbl 1004.35058
Laurençot, Philippe; Schimperna, Giulio; Stefanelli, Ulisse
2002
The conserved phase-field system with memory. Zbl 0982.80006
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Global solution to a phase field model with irreversible and constrained phase evolution. Zbl 1032.35109
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2002
Global attractors for Cahn-Hilliard equations with nonconstant mobility. Zbl 1133.35024
Schimperna, Giulio
2007
Convergence to stationary solutions for a parabolic-hyperbolic phase-field system. Zbl 1134.35017
Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio
2006
A Cahn-Hilliard equation with singular diffusion. Zbl 1272.35115
Schimperna, Giulio; Pawłow, Irena
2013
Nonisothermal phase separation based on a microforce balance. Zbl 1140.80388
Miranville, Alain; Schimperna, Giulio
2005
On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids. Zbl 1383.76082
Schimperna, Giulio; Rocca, Elisabetta; Eleuteri, Michela
2015
Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility. Zbl 1241.35024
Grasselli, Maurizio; Miranville, Alain; Rossi, Riccarda; Schimperna, Giulio
2011
Existence result for a nonlinear model related to irreversible phase changes. Zbl 1013.35045
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2001
Abstract approach to evolution equations of phase-field type and applications. Zbl 0978.35075
Schimperna, Giulio
2000
On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2018
On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2016
Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids. Zbl 1360.35175
Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio
2016
Domain perturbations and estimates for the solutions of second order elliptic equations. Zbl 1112.35312
Savaré, Giuseppe; Schimperna, Giulio
2002
Global solutions to a generalized Cahn-Hilliard equation with viscosity. Zbl 1032.35075
Bonetti, Elena; Dreyer, Wolfgang; Schimperna, Giulio
2003
On a doubly nonlinear Cahn-Hilliard-Gurtin system. Zbl 1203.35045
Miranville, Alain; Schimperna, Giulio
2010
On the long-time behavior of some mathematical models for nematic liquid crystals. Zbl 1263.35041
Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
2013
Large time behaviour of solutions to Penrose-Fife phase change models. Zbl 1079.35021
Feireisl, Eduard; Schimperna, Giulio
2005
Global solution to a phase transition model based on a microforce balance. Zbl 1074.35050
Miranville, Alain; Schimperna, Giulio
2005
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
Weak solution to a phase-field transmission problem in a concentrated capacity. Zbl 0933.35198
Schimperna, Giulio
1999
Attractors for nonlinear reaction-diffusion systems in unbounded domains via the method of short trajectories. Zbl 1207.35068
Grasselli, Maurizio; Pražák, Dalibor; Schimperna, Giulio
2010
Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model. Zbl 1270.35151
Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey
2012
Subdifferential calculus and doubly nonlinear evolution equations in $$L^p$$-spaces with variable exponents. Zbl 1295.35288
Akagi, Goro; Schimperna, Giulio
2014
Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations. Zbl 1278.35052
Schimperna, Giulio; Zelik, Sergey
2013
The Penrose-Fife phase-field model. Zbl 1304.35361
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio
2014
Global and exponential attractors for the Penrose-Fife system. Zbl 1183.35057
Schimperna, Giulio
2009
A nonlocal phase-field system with inertial term. Zbl 1140.35352
Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio
2007
Positivity of the temperature for phase transitions with micro-movements. Zbl 1116.80015
Schimperna, Giulio; Stefanelli, Ulisse
2007
Convergence of solutions for the fractional Cahn-Hilliard system. Zbl 1410.35271
Akagi, Goro; Schimperna, Giulio; Segatti, Antonio
2019
Local solution to Frémond’s full model for irreversible phase transitions. Zbl 1049.35096
Schimperna, G.; Luterotti, F.; Stefanelli, U.
2002
Nonlocal phase-field systems with general potentials. Zbl 1277.35065
Grasselli, Maurizio; Schimperna, Giulio
2013
Long time convergence for a class of variational phase-field models. Zbl 1178.35065
Colli, Pierluigi; Hilhorst, Danielle; Issard-Roch, Françoise; Schimperna, Giulio
2009
A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. Zbl 1386.74106
Scala, Riccardo; Schimperna, Giulio
2017
Singular limit of a transmission problem for the parabolic phase-field model. Zbl 1058.35041
Schimperna, Giulio
2000
Universal attractor for a Penrose-Fife system with special heat flux law. Zbl 1072.35047
Schimperna, Giulio; Rocca, Elisabetta
2004
On a singular heat equation with dynamic boundary conditions. Zbl 1344.35146
Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey
2016
Generalized Cahn-Hilliard equations for multicomponent alloys. Zbl 1251.74004
Miranville, Alain; Schimperna, Giulio
2009
On the strongly damped wave equation with constraint. Zbl 1387.35418
Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio
2017
Attractors for the semiflow associated with a class of doubly nonlinear parabolic equations. Zbl 1146.35019
Schimperna, Giulio; Segatti, Antonio
2008
The conserved Penrose–Fife system with Fourier heat flux law. Zbl 1036.35076
Rocca, Elisabetta; Schimperna, Giulio
2003
Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions. Zbl 1439.35395
Eleuteri, Michela; Gatti, Stefania; Schimperna, Giulio
2019
Direct and inverse problems for a parabolic integro-differential system of Caginalp-type. Zbl 1092.45007
Lorenzi, Alfredo; Rocca, Elisabetta; Schimperna, Giulio
2005
Study of a system for the isothermal separation of components in a binary alloy with change of phase. Zbl 1067.35128
Kessler, Daniel; Scheid, Jean-François; Schimperna, Giulio; Stefanelli, Ulisse
2004
Existence results for a phase transition model based on microscopic movements. Zbl 1105.80009
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2006
Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system. Zbl 1116.35028
Rocca, Elisabetta; Schimperna, Giulio
2006
On a Navier-Stokes-Allen-Cahn model with inertial effects. Zbl 1416.35203
Favre, Gianluca; Schimperna, Giulio
2019
Quantitative estimates on localized finite differences for the fractional Poisson problem, and applications to regularity and spectral stability. Zbl 1402.35294
Akagi, Goro; Schimperna, Giulio; Segatti, Antonio; Spinolo, Laura V.
2018
A generalized phase relaxation model with hysteresis. Zbl 1028.35005
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2003
On the long time behavior of a tumor growth model. Zbl 1416.35279
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio
2019
Convergence of solutions for the fractional Cahn-Hilliard system. Zbl 1410.35271
Akagi, Goro; Schimperna, Giulio; Segatti, Antonio
2019
Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions. Zbl 1439.35395
Eleuteri, Michela; Gatti, Stefania; Schimperna, Giulio
2019
On a Navier-Stokes-Allen-Cahn model with inertial effects. Zbl 1416.35203
Favre, Gianluca; Schimperna, Giulio
2019
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials. Zbl 1404.35456
Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio
2018
On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2018
Quantitative estimates on localized finite differences for the fractional Poisson problem, and applications to regularity and spectral stability. Zbl 1402.35294
Akagi, Goro; Schimperna, Giulio; Segatti, Antonio; Spinolo, Laura V.
2018
Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2017
A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. Zbl 1386.74106
Scala, Riccardo; Schimperna, Giulio
2017
On the strongly damped wave equation with constraint. Zbl 1387.35418
Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio
2017
Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations. Zbl 1342.35429
Akagi, Goro; Schimperna, Giulio; Segatti, Antonio
2016
On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2016
Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids. Zbl 1360.35175
Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio
2016
On a singular heat equation with dynamic boundary conditions. Zbl 1344.35146
Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey
2016
Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy. Zbl 1446.76067
Feireisl, Eduard; Schimperna, Giulio; Rocca, Elisabetta; Zarnescu, Arghir
2015
On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids. Zbl 1383.76082
Schimperna, Giulio; Rocca, Elisabetta; Eleuteri, Michela
2015
Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential. Zbl 1330.76012
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2014
Subdifferential calculus and doubly nonlinear evolution equations in $$L^p$$-spaces with variable exponents. Zbl 1295.35288
Akagi, Goro; Schimperna, Giulio
2014
The Penrose-Fife phase-field model. Zbl 1304.35361
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio
2014
On a class of Cahn-Hilliard models with nonlinear diffusion. Zbl 1276.35101
Schimperna, Giulio; Pawłow, Irena
2013
A Cahn-Hilliard equation with singular diffusion. Zbl 1272.35115
Schimperna, Giulio; Pawłow, Irena
2013
On the long-time behavior of some mathematical models for nematic liquid crystals. Zbl 1263.35041
Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
2013
Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations. Zbl 1278.35052
Schimperna, Giulio; Zelik, Sergey
2013
Nonlocal phase-field systems with general potentials. Zbl 1277.35065
Grasselli, Maurizio; Schimperna, Giulio
2013
A new approach to non-isothermal models for nematic liquid crystals. Zbl 1282.76059
Feireisl, Eduard; Frémond, Michel; Rocca, Elisabetta; Schimperna, Giulio
2012
Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model. Zbl 1270.35151
Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey
2012
On a non-isothermal model for nematic liquid crystals. Zbl 1372.76011
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio
2011
A Cahn-Hilliard model in a domain with non-permeable walls. Zbl 1228.35051
Goldstein, Gisèle Ruiz; Miranville, Alain; Schimperna, Giulio
2011
Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility. Zbl 1241.35024
Grasselli, Maurizio; Miranville, Alain; Rossi, Riccarda; Schimperna, Giulio
2011
Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
2010
The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials. Zbl 1194.35074
Grasselli, Maurizio; Miranville, Alain; Schimperna, Giulio
2010
Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1223.35067
Gilardi, Gianni; Miranville, Alain; Schimperna, Giulio
2010
Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term. Zbl 1198.35038
Grasselli, Maurizio; Schimperna, Giulio; Zelik, Sergey
2010
On a doubly nonlinear Cahn-Hilliard-Gurtin system. Zbl 1203.35045
Miranville, Alain; Schimperna, Giulio
2010
Attractors for nonlinear reaction-diffusion systems in unbounded domains via the method of short trajectories. Zbl 1207.35068
Grasselli, Maurizio; Pražák, Dalibor; Schimperna, Giulio
2010
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417
Gilardi, Gianni; Miranville, A.; Schimperna, Giulio
2009
On the 2D Cahn-Hilliard equation with inertial term. Zbl 1173.35086
Grasselli, Maurizio; Schimperna, Giulio; Zelik, Sergey
2009
On the 3D Cahn-Hilliard equation with inertial term. Zbl 1239.35160
Grasselli, Maurizio; Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey
2009
Global and exponential attractors for the Penrose-Fife system. Zbl 1183.35057
Schimperna, Giulio
2009
Long time convergence for a class of variational phase-field models. Zbl 1178.35065
Colli, Pierluigi; Hilhorst, Danielle; Issard-Roch, Françoise; Schimperna, Giulio
2009
Generalized Cahn-Hilliard equations for multicomponent alloys. Zbl 1251.74004
Miranville, Alain; Schimperna, Giulio
2009
Attractors for the semiflow associated with a class of doubly nonlinear parabolic equations. Zbl 1146.35019
Schimperna, Giulio; Segatti, Antonio
2008
Asymptotic behavior of a nonisothermal viscous Cahn-Hilliard equation with inertial term. Zbl 1129.35017
Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio
2007
Well-posedness and long-time behavior for a class of doubly nonlinear equations. Zbl 1195.35185
Schimperna, Giulio; Segatti, Antonio; Stefanelli, Ulisse
2007
Global attractors for Cahn-Hilliard equations with nonconstant mobility. Zbl 1133.35024
Schimperna, Giulio
2007
A nonlocal phase-field system with inertial term. Zbl 1140.35352
Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio
2007
Positivity of the temperature for phase transitions with micro-movements. Zbl 1116.80015
Schimperna, Giulio; Stefanelli, Ulisse
2007
Long time behavior of solutions to the Caginalp system with singular potential. Zbl 1128.35021
Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio
2006
Convergence to stationary solutions for a parabolic-hyperbolic phase-field system. Zbl 1134.35017
Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio
2006
Existence results for a phase transition model based on microscopic movements. Zbl 1105.80009
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2006
Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system. Zbl 1116.35028
Rocca, Elisabetta; Schimperna, Giulio
2006
On a doubly nonlinear model for the evolution of damaging in viscoelastic materials. Zbl 1078.74048
Bonetti, Elena; Schimperna, Giulio; Segatti, Antonio
2005
Nonisothermal phase separation based on a microforce balance. Zbl 1140.80388
Miranville, Alain; Schimperna, Giulio
2005
Large time behaviour of solutions to Penrose-Fife phase change models. Zbl 1079.35021
Feireisl, Eduard; Schimperna, Giulio
2005
Global solution to a phase transition model based on a microforce balance. Zbl 1074.35050
Miranville, Alain; Schimperna, Giulio
2005
Direct and inverse problems for a parabolic integro-differential system of Caginalp-type. Zbl 1092.45007
Lorenzi, Alfredo; Rocca, Elisabetta; Schimperna, Giulio
2005
Local existence for Frémond’s model of damage in elastic materials. Zbl 1066.74048
Bonetti, E.; Schimperna, G.
2004
Universal attractor for some singular phase transition systems. Zbl 1062.82015
Rocca, Elisabetta; Schimperna, Giulio
2004
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
Universal attractor for a Penrose-Fife system with special heat flux law. Zbl 1072.35047
Schimperna, Giulio; Rocca, Elisabetta
2004
Study of a system for the isothermal separation of components in a binary alloy with change of phase. Zbl 1067.35128
Kessler, Daniel; Scheid, Jean-François; Schimperna, Giulio; Stefanelli, Ulisse
2004
Global solutions to a generalized Cahn-Hilliard equation with viscosity. Zbl 1032.35075
Bonetti, Elena; Dreyer, Wolfgang; Schimperna, Giulio
2003
The conserved Penrose–Fife system with Fourier heat flux law. Zbl 1036.35076
Rocca, Elisabetta; Schimperna, Giulio
2003
A generalized phase relaxation model with hysteresis. Zbl 1028.35005
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2003
Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061
Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2002
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
Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions. Zbl 1004.35058
Laurençot, Philippe; Schimperna, Giulio; Stefanelli, Ulisse
2002
Global solution to a phase field model with irreversible and constrained phase evolution. Zbl 1032.35109
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2002
Domain perturbations and estimates for the solutions of second order elliptic equations. Zbl 1112.35312
Savaré, Giuseppe; Schimperna, Giulio
2002
Local solution to Frémond’s full model for irreversible phase transitions. Zbl 1049.35096
Schimperna, G.; Luterotti, F.; Stefanelli, U.
2002
The conserved phase-field system with memory. Zbl 0982.80006
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Existence result for a nonlinear model related to irreversible phase changes. Zbl 1013.35045
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2001
Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Abstract approach to evolution equations of phase-field type and applications. Zbl 0978.35075
Schimperna, Giulio
2000
Singular limit of a transmission problem for the parabolic phase-field model. Zbl 1058.35041
Schimperna, Giulio
2000
Weak solution to a phase-field transmission problem in a concentrated capacity. Zbl 0933.35198
Schimperna, Giulio
1999
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Cited by 521 Authors

 42 Miranville, Alain M. 39 Colli, Pierluigi 38 Rocca, Elisabetta 37 Schimperna, Giulio 26 Grasselli, Maurizio 25 Gilardi, Gianni 18 Sprekels, Jürgen 18 Tachim Medjo, Theodore 17 Bonetti, Elena 16 Wu, Hao 14 Rossi, Riccarda 14 Scarpa, Luca 13 Segatti, Antonio 12 Gal, Ciprian Gheorghe Sorin 12 Zelik, Sergey V. 11 Zhao, Xiaopeng 10 Akagi, Goro 10 Heinemann, Christian 10 Liu, Chein-Shan 9 Frémond, Michel 9 Fukao, Takeshi 9 Lam, Kei Fong 9 Signori, Andrea 8 Garcke, Harald 8 Kraus, Christiane 8 Roubíček, Tomáš 8 Stefanelli, Ulisse 7 Cavaterra, Cecilia 7 Cherfils, Laurence 7 Eleuteri, Michela 7 Gatti, Stefania 6 Conti, Monica C. 6 Giorgini, Andrea 6 Marinoschi, Gabriela 6 Quintanilla de Latorre, Ramón 6 Xu, Xiang 5 Bonfanti, Giovanna 5 Ding, Shijin 5 Duan, Ning 5 Feireisl, Eduard 5 Hieber, Matthias 5 Petzeltová, Hana 5 Shillor, Meir 5 Tomassetti, Giuseppe 5 Zarnescu, Arghir Dani 5 Zhu, Peicheng 4 Boldrini, José Luiz 4 Campo, Marco A. 4 Davoli, Elisa 4 Deugoue, Gabriel 4 Fabrizio, Mauro 4 Fernández, Jose Ramon 4 Huang, Jinrui 4 Kopfová, Jana 4 Kotschote, Matthias 4 Kurima, Shunsuke 4 Luo, Yi-Long 4 Luterotti, Fabio 4 Pawlow, Irena 4 Pierre, Morgan 4 Planas, Gabriela 4 Prüß, Jan Wilhelm 4 Thomas, Marita 4 Wang, Hong 4 Wang, Zhao 4 Wen, Huanyao 4 Yang, Zhijian 4 Yin, Jingxue 4 Zheng, Songmu 4 Zhu, Changjiang 3 Ainsworth, Mark 3 Alber, Hans-Dieter 3 Bulíček, Miroslav 3 Della Porta, Francesco 3 Fan, Jishan 3 Feng, Na 3 Freistühler, Heinrich 3 Frigeri, Sergio 3 Gasiński, Leszek 3 Gong, Huajun 3 Guillén González, Francisco M. 3 Heida, Martin 3 Jiang, Jie 3 Jiang, Ning 3 Kalantarov, Varga K. 3 Knopf, Patrik 3 Krejčí, Pavel 3 Lasarzik, Robert 3 Lazzaroni, Giuliano 3 Li, Ke 3 Li, Yinghua 3 Liu, Chun 3 Liu, Yuning 3 Mao, Zhiping 3 Mielke, Alexander 3 Rybka, Piotr 3 Shibata, Yoshihiro 3 Shomberg, Joseph L. 3 Slavík, Jakub 3 Trussardi, Lara ...and 421 more Authors
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Cited in 121 Serials

 49 Journal of Differential Equations 43 Journal of Mathematical Analysis and Applications 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 18 Archive for Rational Mechanics and Analysis 18 Mathematical Methods in the Applied Sciences 18 SIAM Journal on Mathematical Analysis 17 Nonlinear Analysis. Real World Applications 17 Communications on Pure and Applied Analysis 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Discrete and Continuous Dynamical Systems 12 Applied Mathematics and Optimization 10 Discrete and Continuous Dynamical Systems. Series B 9 Physica D 9 Applications of Mathematics 8 Calculus of Variations and Partial Differential Equations 7 Computers & Mathematics with Applications 7 Quarterly of Applied Mathematics 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Asymptotic Analysis 7 Discrete and Continuous Dynamical Systems. Series S 6 Applicable Analysis 6 European Journal of Applied Mathematics 6 Journal of Nonlinear Science 6 Journal of Evolution Equations 6 Boundary Value Problems 5 Journal of Mathematical Physics 5 Nonlinearity 5 Journal of Computational and Applied Mathematics 5 NoDEA. Nonlinear Differential Equations and Applications 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Applied Mathematics and Computation 4 SIAM Journal on Control and Optimization 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Numerical Mathematics 4 Applied Mathematics Letters 4 Journal of Scientific Computing 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Evolution Equations and Control Theory 4 Advances in Nonlinear Analysis 3 Chaos, Solitons and Fractals 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Electronic Journal of Differential Equations (EJDE) 3 Abstract and Applied Analysis 3 Interfaces and Free Boundaries 3 Acta Mathematica Sinica. English Series 3 Communications in Nonlinear Science and Numerical Simulation 3 Mathematical Control and Related Fields 3 Journal of Elliptic and Parabolic Equations 2 International Journal of Engineering Science 2 Journal of Computational Physics 2 Journal of Statistical Physics 2 Journal of Functional Analysis 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematical Modelling 2 Journal of Dynamics and Differential Equations 2 Continuum Mechanics and Thermodynamics 2 Topological Methods in Nonlinear Analysis 2 Journal of Convex Analysis 2 Advances in Computational Mathematics 2 Discrete Dynamics in Nature and Society 2 Journal of Mathematical Fluid Mechanics 2 Journal of Dynamical and Control Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 Journal of Hyperbolic Differential Equations 2 Mediterranean Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Science China. Mathematics 2 Journal of Applied Analysis and Computation 2 AIMS Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Mechanics and Physics of Solids 1 Rocky Mountain Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 International Journal for Numerical Methods in Engineering 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Numerical Methods for Partial Differential Equations 1 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Numerical Algorithms 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 SIAM Journal on Scientific Computing 1 Set-Valued Analysis ...and 21 more Serials
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Cited in 30 Fields

 514 Partial differential equations (35-XX) 168 Fluid mechanics (76-XX) 91 Mechanics of deformable solids (74-XX) 85 Classical thermodynamics, heat transfer (80-XX) 54 Statistical mechanics, structure of matter (82-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 53 Numerical analysis (65-XX) 37 Dynamical systems and ergodic theory (37-XX) 26 Operator theory (47-XX) 24 Biology and other natural sciences (92-XX) 18 Integral equations (45-XX) 15 Probability theory and stochastic processes (60-XX) 13 Ordinary differential equations (34-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Systems theory; control (93-XX) 8 Geophysics (86-XX) 6 Functional analysis (46-XX) 5 Real functions (26-XX) 4 Optics, electromagnetic theory (78-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Mechanics of particles and systems (70-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)