Edit Profile (opens in new tab) Schimperna, Giulio Co-Author Distance Author ID: schimperna.giulio Published as: Schimperna, Giulio; Schimperna, G. External Links: ORCID Documents Indexed: 94 Publications since 1999, including 4 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 44 Co-Authors with 87 Joint Publications 1,185 Co-Co-Authors all top 5 Co-Authors 8 single-authored 29 Rocca, Elisabetta 13 Grasselli, Maurizio 12 Feireisl, Eduard 11 Miranville, Alain M. 11 Stefanelli, Ulisse 10 Segatti, Antonio 8 Colli, Pierluigi 6 Akagi, Goro 6 Gilardi, Gianni 6 Luterotti, Fabio 6 Petzeltová, Hana 6 Zelik, Sergey V. 5 Bonetti, Elena 5 Zarnescu, Arghir Dani 3 Eleuteri, Michela 3 Scala, Riccardo 2 Dai, Mimi 2 Dreyer, Wolfgang 2 Lam, Kei Fong 2 Pawlow, Irena 2 Scheid, Jean-François 2 Schonbek, Maria Elena 2 Signori, Andrea 2 Sprekels, Jürgen 1 Favini, Angelo 1 Favre, Gianluca 1 Frémond, Michel 1 Frigeri, Sergio 1 Gatti, Stefania 1 Giorgini, Andrea 1 Hilhorst, Danielle 1 Issard-Roch, Françoise 1 Kessler, Daniel P. 1 Knopf, Patrik 1 Lasarzik, Robert 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. 1 Wu, Hao all top 5 Serials 9 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 SIAM Journal on Mathematical Analysis 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 European Journal of Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series S 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 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 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 Springer INdAM Series 1 AIMS Mathematics all top 5 Fields 91 Partial differential equations (35-XX) 38 Classical thermodynamics, heat transfer (80-XX) 18 Fluid mechanics (76-XX) 16 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 6 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 1,440 times in 820 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 84 2009 Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155 Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 69 2010 Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations. Zbl 1342.35429 Akagi, Goro; Schimperna, Giulio; Segatti, Antonio 61 2016 A Cahn-Hilliard model in a domain with non-permeable walls. Zbl 1228.35051 Goldstein, Gisèle Ruiz; Miranville, Alain; Schimperna, Giulio 48 2011 A new approach to non-isothermal models for nematic liquid crystals. Zbl 1282.76059 Feireisl, Eduard; Frémond, Michel; Rocca, Elisabetta; Schimperna, Giulio 48 2012 On the 2D Cahn-Hilliard equation with inertial term. Zbl 1173.35086 Grasselli, Maurizio; Schimperna, Giulio; Zelik, Sergey 46 2009 Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185 Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. 46 2017 Local existence for Frémond’s model of damage in elastic materials. Zbl 1066.74048 Bonetti, E.; Schimperna, G. 45 2004 Long time behavior of solutions to the Caginalp system with singular potential. Zbl 1128.35021 Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio 43 2006 Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1223.35067 Gilardi, Gianni; Miranville, Alain; Schimperna, Giulio 40 2010 On a non-isothermal model for nematic liquid crystals. Zbl 1372.76011 Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio 38 2011 On a class of Cahn-Hilliard models with nonlinear diffusion. Zbl 1276.35101 Schimperna, Giulio; Pawłow, Irena 37 2013 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 36 2018 The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials. Zbl 1194.35074 Grasselli, Maurizio; Miranville, Alain; Schimperna, Giulio 35 2010 On the 3D Cahn-Hilliard equation with inertial term. Zbl 1239.35160 Grasselli, Maurizio; Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey 34 2009 On a doubly nonlinear model for the evolution of damaging in viscoelastic materials. Zbl 1078.74048 Bonetti, Elena; Schimperna, Giulio; Segatti, Antonio 33 2005 Asymptotic behavior of a nonisothermal viscous Cahn-Hilliard equation with inertial term. Zbl 1129.35017 Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio 31 2007 Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term. Zbl 1198.35038 Grasselli, Maurizio; Schimperna, Giulio; Zelik, Sergey 31 2010 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 31 2014 On the long time behavior of a tumor growth model. Zbl 1416.35279 Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio 29 2019 Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy. Zbl 1446.76067 Feireisl, Eduard; Schimperna, Giulio; Rocca, Elisabetta; Zarnescu, Arghir 27 2015 Well-posedness and long-time behavior for a class of doubly nonlinear equations. Zbl 1195.35185 Schimperna, Giulio; Segatti, Antonio; Stefanelli, Ulisse 26 2007 Universal attractor for some singular phase transition systems. Zbl 1062.82015 Rocca, Elisabetta; Schimperna, Giulio 25 2004 Global attractors for Cahn-Hilliard equations with nonconstant mobility. Zbl 1133.35024 Schimperna, Giulio 24 2007 On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023 Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir 23 2018 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 22 2002 Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061 Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 21 2002 On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids. Zbl 1383.76082 Schimperna, Giulio; Rocca, Elisabetta; Eleuteri, Michela 17 2015 The conserved phase-field system with memory. Zbl 0982.80006 Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 16 2001 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 16 2002 A Cahn-Hilliard equation with singular diffusion. Zbl 1272.35115 Schimperna, Giulio; Pawłow, Irena 16 2013 Nonisothermal phase separation based on a microforce balance. Zbl 1140.80388 Miranville, Alain; Schimperna, Giulio 15 2005 Convergence to stationary solutions for a parabolic-hyperbolic phase-field system. Zbl 1134.35017 Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio 15 2006 Global solution to a phase field model with irreversible and constrained phase evolution. Zbl 1032.35109 Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 15 2002 Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility. Zbl 1241.35024 Grasselli, Maurizio; Miranville, Alain; Rossi, Riccarda; Schimperna, Giulio 14 2011 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 14 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. 14 2016 Domain perturbations and estimates for the solutions of second order elliptic equations. Zbl 1112.35312 Savaré, Giuseppe; Schimperna, Giulio 14 2002 Abstract approach to evolution equations of phase-field type and applications. Zbl 0978.35075 Schimperna, Giulio 11 2000 Global solutions to a generalized Cahn-Hilliard equation with viscosity. Zbl 1032.35075 Bonetti, Elena; Dreyer, Wolfgang; Schimperna, Giulio 11 2003 Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations. Zbl 1278.35052 Schimperna, Giulio; Zelik, Sergey 11 2013 On a doubly nonlinear Cahn-Hilliard-Gurtin system. Zbl 1203.35045 Miranville, Alain; Schimperna, Giulio 11 2010 On the long-time behavior of some mathematical models for nematic liquid crystals. Zbl 1263.35041 Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 11 2013 Existence result for a nonlinear model related to irreversible phase changes. Zbl 1013.35045 Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 10 2001 Attractors for nonlinear reaction-diffusion systems in unbounded domains via the method of short trajectories. Zbl 1207.35068 Grasselli, Maurizio; Pražák, Dalibor; Schimperna, Giulio 9 2010 Large time behaviour of solutions to Penrose-Fife phase change models. Zbl 1079.35021 Feireisl, Eduard; Schimperna, Giulio 8 2005 Convergence of solutions for the fractional Cahn-Hilliard system. Zbl 1410.35271 Akagi, Goro; Schimperna, Giulio; Segatti, Antonio 8 2019 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 7 2004 Weak solution to a phase-field transmission problem in a concentrated capacity. Zbl 0933.35198 Schimperna, Giulio 7 1999 Global solution to a phase transition model based on a microforce balance. Zbl 1074.35050 Miranville, Alain; Schimperna, Giulio 7 2005 Subdifferential calculus and doubly nonlinear evolution equations in \(L^p\)-spaces with variable exponents. Zbl 1295.35288 Akagi, Goro; Schimperna, Giulio 7 2014 On the viscous Cahn-Hilliard equation with singular potential and inertial term. Zbl 1427.35099 Scala, Riccardo; Schimperna, Giulio 7 2016 Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model. Zbl 1270.35151 Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey 7 2012 A nonlocal phase-field system with inertial term. Zbl 1140.35352 Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio 6 2007 Positivity of the temperature for phase transitions with micro-movements. Zbl 1116.80015 Schimperna, Giulio; Stefanelli, Ulisse 6 2007 On the strongly damped wave equation with constraint. Zbl 1387.35418 Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio 6 2017 The Penrose-Fife phase-field model. Zbl 1304.35361 Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio 6 2014 On a class of sixth-order Cahn-Hilliard-type equations with logarithmic potential. Zbl 1450.35136 Schimperna, Giulio; Wu, Hao 6 2020 On a Navier-Stokes-Allen-Cahn model with inertial effects. Zbl 1416.35203 Favre, Gianluca; Schimperna, Giulio 6 2019 Nonlocal phase-field systems with general potentials. Zbl 1277.35065 Grasselli, Maurizio; Schimperna, Giulio 6 2013 Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094 Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 5 2001 Long time convergence for a class of variational phase-field models. Zbl 1178.35065 Colli, Pierluigi; Hilhorst, Danielle; Issard-Roch, Françoise; Schimperna, Giulio 5 2009 A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. Zbl 1386.74106 Scala, Riccardo; Schimperna, Giulio 5 2017 On a singular heat equation with dynamic boundary conditions. Zbl 1344.35146 Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey 5 2016 Attractors for the semiflow associated with a class of doubly nonlinear parabolic equations. Zbl 1146.35019 Schimperna, Giulio; Segatti, Antonio 4 2008 Local solution to Frémond’s full model for irreversible phase transitions. Zbl 1049.35096 Schimperna, G.; Luterotti, F.; Stefanelli, U. 4 2002 Global and exponential attractors for the Penrose-Fife system. Zbl 1183.35057 Schimperna, Giulio 4 2009 Singular limit of a transmission problem for the parabolic phase-field model. Zbl 1058.35041 Schimperna, Giulio 3 2000 Universal attractor for a Penrose-Fife system with special heat flux law. Zbl 1072.35047 Schimperna, Giulio; Rocca, Elisabetta 3 2004 Generalized Cahn-Hilliard equations for multicomponent alloys. Zbl 1251.74004 Miranville, Alain; Schimperna, Giulio 3 2009 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 3 2019 On a non-isothermal Cahn-Hilliard model based on a microforce balance. Zbl 1460.35199 Marveggio, Alice; Schimperna, Giulio 3 2021 On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth. Zbl 1502.35044 Rocca, Elisabetta; Schimperna, Giulio; Signori, Andrea 3 2023 A generalized phase relaxation model with hysteresis. Zbl 1028.35005 Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 2 2003 Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Zbl 1387.35010 2 2017 The conserved Penrose–Fife system with Fourier heat flux law. Zbl 1036.35076 Rocca, Elisabetta; Schimperna, Giulio 2 2003 On the Cahn-Hilliard-Darcy system with mass source and strongly separating potential. Zbl 1500.35090 Schimperna, Giulio 2 2022 On the existence of strong solutions to the Cahn-Hilliard-Darcy system with mass source. Zbl 1482.35071 Giorgini, Andrea; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio 2 2022 Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system. Zbl 1116.35028 Rocca, Elisabetta; Schimperna, Giulio 1 2006 Existence results for a phase transition model based on microscopic movements. Zbl 1105.80009 Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 1 2006 Direct and inverse problems for a parabolic integro-differential system of Caginalp-type. Zbl 1092.45007 Lorenzi, Alfredo; Rocca, Elisabetta; Schimperna, Giulio 1 2005 Some convergence results for a class of nonlinear phase-field evolution equations. Zbl 1120.35311 Schimperna, Giulio 1 2000 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 1 2004 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. 1 2018 Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model. Zbl 1500.35089 Lasarzik, Robert; Rocca, Elisabetta; Schimperna, Giulio 1 2022 On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth. Zbl 1502.35044 Rocca, Elisabetta; Schimperna, Giulio; Signori, Andrea 3 2023 On the Cahn-Hilliard-Darcy system with mass source and strongly separating potential. Zbl 1500.35090 Schimperna, Giulio 2 2022 On the existence of strong solutions to the Cahn-Hilliard-Darcy system with mass source. Zbl 1482.35071 Giorgini, Andrea; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio 2 2022 Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model. Zbl 1500.35089 Lasarzik, Robert; Rocca, Elisabetta; Schimperna, Giulio 1 2022 On a non-isothermal Cahn-Hilliard model based on a microforce balance. Zbl 1460.35199 Marveggio, Alice; Schimperna, Giulio 3 2021 On a class of sixth-order Cahn-Hilliard-type equations with logarithmic potential. Zbl 1450.35136 Schimperna, Giulio; Wu, Hao 6 2020 On the long time behavior of a tumor growth model. Zbl 1416.35279 Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio 29 2019 Convergence of solutions for the fractional Cahn-Hilliard system. Zbl 1410.35271 Akagi, Goro; Schimperna, Giulio; Segatti, Antonio 8 2019 On a Navier-Stokes-Allen-Cahn model with inertial effects. Zbl 1416.35203 Favre, Gianluca; Schimperna, Giulio 6 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 3 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 36 2018 On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023 Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir 23 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. 1 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. 46 2017 On the strongly damped wave equation with constraint. Zbl 1387.35418 Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio 6 2017 A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. Zbl 1386.74106 Scala, Riccardo; Schimperna, Giulio 5 2017 Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Zbl 1387.35010 2 2017 Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations. Zbl 1342.35429 Akagi, Goro; Schimperna, Giulio; Segatti, Antonio 61 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 14 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. 14 2016 On the viscous Cahn-Hilliard equation with singular potential and inertial term. Zbl 1427.35099 Scala, Riccardo; Schimperna, Giulio 7 2016 On a singular heat equation with dynamic boundary conditions. Zbl 1344.35146 Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey 5 2016 Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy. Zbl 1446.76067 Feireisl, Eduard; Schimperna, Giulio; Rocca, Elisabetta; Zarnescu, Arghir 27 2015 On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids. Zbl 1383.76082 Schimperna, Giulio; Rocca, Elisabetta; Eleuteri, Michela 17 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 31 2014 Subdifferential calculus and doubly nonlinear evolution equations in \(L^p\)-spaces with variable exponents. Zbl 1295.35288 Akagi, Goro; Schimperna, Giulio 7 2014 The Penrose-Fife phase-field model. Zbl 1304.35361 Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio 6 2014 On a class of Cahn-Hilliard models with nonlinear diffusion. Zbl 1276.35101 Schimperna, Giulio; Pawłow, Irena 37 2013 A Cahn-Hilliard equation with singular diffusion. Zbl 1272.35115 Schimperna, Giulio; Pawłow, Irena 16 2013 Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations. Zbl 1278.35052 Schimperna, Giulio; Zelik, Sergey 11 2013 On the long-time behavior of some mathematical models for nematic liquid crystals. Zbl 1263.35041 Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 11 2013 Nonlocal phase-field systems with general potentials. Zbl 1277.35065 Grasselli, Maurizio; Schimperna, Giulio 6 2013 A new approach to non-isothermal models for nematic liquid crystals. Zbl 1282.76059 Feireisl, Eduard; Frémond, Michel; Rocca, Elisabetta; Schimperna, Giulio 48 2012 Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model. Zbl 1270.35151 Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey 7 2012 A Cahn-Hilliard model in a domain with non-permeable walls. Zbl 1228.35051 Goldstein, Gisèle Ruiz; Miranville, Alain; Schimperna, Giulio 48 2011 On a non-isothermal model for nematic liquid crystals. Zbl 1372.76011 Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio 38 2011 Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility. Zbl 1241.35024 Grasselli, Maurizio; Miranville, Alain; Rossi, Riccarda; Schimperna, Giulio 14 2011 Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155 Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 69 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 40 2010 The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials. Zbl 1194.35074 Grasselli, Maurizio; Miranville, Alain; Schimperna, Giulio 35 2010 Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term. Zbl 1198.35038 Grasselli, Maurizio; Schimperna, Giulio; Zelik, Sergey 31 2010 On a doubly nonlinear Cahn-Hilliard-Gurtin system. Zbl 1203.35045 Miranville, Alain; Schimperna, Giulio 11 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 9 2010 On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417 Gilardi, Gianni; Miranville, A.; Schimperna, Giulio 84 2009 On the 2D Cahn-Hilliard equation with inertial term. Zbl 1173.35086 Grasselli, Maurizio; Schimperna, Giulio; Zelik, Sergey 46 2009 On the 3D Cahn-Hilliard equation with inertial term. Zbl 1239.35160 Grasselli, Maurizio; Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey 34 2009 Long time convergence for a class of variational phase-field models. Zbl 1178.35065 Colli, Pierluigi; Hilhorst, Danielle; Issard-Roch, Françoise; Schimperna, Giulio 5 2009 Global and exponential attractors for the Penrose-Fife system. Zbl 1183.35057 Schimperna, Giulio 4 2009 Generalized Cahn-Hilliard equations for multicomponent alloys. Zbl 1251.74004 Miranville, Alain; Schimperna, Giulio 3 2009 Attractors for the semiflow associated with a class of doubly nonlinear parabolic equations. Zbl 1146.35019 Schimperna, Giulio; Segatti, Antonio 4 2008 Asymptotic behavior of a nonisothermal viscous Cahn-Hilliard equation with inertial term. Zbl 1129.35017 Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio 31 2007 Well-posedness and long-time behavior for a class of doubly nonlinear equations. Zbl 1195.35185 Schimperna, Giulio; Segatti, Antonio; Stefanelli, Ulisse 26 2007 Global attractors for Cahn-Hilliard equations with nonconstant mobility. Zbl 1133.35024 Schimperna, Giulio 24 2007 A nonlocal phase-field system with inertial term. Zbl 1140.35352 Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio 6 2007 Positivity of the temperature for phase transitions with micro-movements. Zbl 1116.80015 Schimperna, Giulio; Stefanelli, Ulisse 6 2007 Long time behavior of solutions to the Caginalp system with singular potential. Zbl 1128.35021 Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio 43 2006 Convergence to stationary solutions for a parabolic-hyperbolic phase-field system. Zbl 1134.35017 Grasselli, Maurizio; Petzeltová, Hana; Schimperna, Giulio 15 2006 Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system. Zbl 1116.35028 Rocca, Elisabetta; Schimperna, Giulio 1 2006 Existence results for a phase transition model based on microscopic movements. Zbl 1105.80009 Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 1 2006 On a doubly nonlinear model for the evolution of damaging in viscoelastic materials. Zbl 1078.74048 Bonetti, Elena; Schimperna, Giulio; Segatti, Antonio 33 2005 Nonisothermal phase separation based on a microforce balance. Zbl 1140.80388 Miranville, Alain; Schimperna, Giulio 15 2005 Large time behaviour of solutions to Penrose-Fife phase change models. Zbl 1079.35021 Feireisl, Eduard; Schimperna, Giulio 8 2005 Global solution to a phase transition model based on a microforce balance. Zbl 1074.35050 Miranville, Alain; Schimperna, Giulio 7 2005 Direct and inverse problems for a parabolic integro-differential system of Caginalp-type. Zbl 1092.45007 Lorenzi, Alfredo; Rocca, Elisabetta; Schimperna, Giulio 1 2005 Local existence for Frémond’s model of damage in elastic materials. Zbl 1066.74048 Bonetti, E.; Schimperna, G. 45 2004 Universal attractor for some singular phase transition systems. Zbl 1062.82015 Rocca, Elisabetta; Schimperna, Giulio 25 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 7 2004 Universal attractor for a Penrose-Fife system with special heat flux law. Zbl 1072.35047 Schimperna, Giulio; Rocca, Elisabetta 3 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 1 2004 Global solutions to a generalized Cahn-Hilliard equation with viscosity. Zbl 1032.35075 Bonetti, Elena; Dreyer, Wolfgang; Schimperna, Giulio 11 2003 A generalized phase relaxation model with hysteresis. Zbl 1028.35005 Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 2 2003 The conserved Penrose–Fife system with Fourier heat flux law. Zbl 1036.35076 Rocca, Elisabetta; Schimperna, Giulio 2 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 22 2002 Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061 Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 21 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 16 2002 Global solution to a phase field model with irreversible and constrained phase evolution. Zbl 1032.35109 Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 15 2002 Domain perturbations and estimates for the solutions of second order elliptic equations. Zbl 1112.35312 Savaré, Giuseppe; Schimperna, Giulio 14 2002 Local solution to Frémond’s full model for irreversible phase transitions. Zbl 1049.35096 Schimperna, G.; Luterotti, F.; Stefanelli, U. 4 2002 The conserved phase-field system with memory. Zbl 0982.80006 Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 16 2001 Existence result for a nonlinear model related to irreversible phase changes. Zbl 1013.35045 Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse 10 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. 5 2001 Abstract approach to evolution equations of phase-field type and applications. Zbl 0978.35075 Schimperna, Giulio 11 2000 Singular limit of a transmission problem for the parabolic phase-field model. Zbl 1058.35041 Schimperna, Giulio 3 2000 Some convergence results for a class of nonlinear phase-field evolution equations. Zbl 1120.35311 Schimperna, Giulio 1 2000 Weak solution to a phase-field transmission problem in a concentrated capacity. Zbl 0933.35198 Schimperna, Giulio 7 1999 all cited Publications top 5 cited Publications all top 5 Cited by 808 Authors 53 Miranville, Alain M. 52 Colli, Pierluigi 46 Rocca, Elisabetta 43 Schimperna, Giulio 35 Grasselli, Maurizio 33 Gilardi, Gianni 28 Sprekels, Jürgen 28 Wu, Hao 24 Scarpa, Luca 21 Signori, Andrea 19 Zhao, Xiaopeng 18 Bonetti, Elena 16 Gal, Ciprian Gheorghe Sorin 15 Rossi, Riccarda 15 Zelik, Sergey V. 14 Fukao, Takeshi 14 Lam, Kei Fong 14 Tachim Medjo, Theodore 13 Akagi, Goro 13 Segatti, Antonio 12 Garcke, Harald 11 Liu, Changchun 10 Cavaterra, Cecilia 10 Cherfils, Laurence 10 Duan, Ning 10 Giorgini, Andrea 10 Heinemann, Christian 9 Frémond, Michel 9 Roubíček, Tomáš 9 Stefanelli, Ulisse 8 Gatti, Stefania 8 Knopf, Patrik 8 Kraus, Christiane 8 Kurima, Shunsuke 8 Liu, Chun 7 Deugoue, Gabriel 7 Eleuteri, Michela 7 Feireisl, Eduard 7 Jiang, Ning 7 Marinoschi, Gabriela 7 Planas, Gabriela 7 Xu, Xiang 6 Bonfanti, Giovanna 6 Conti, Monica C. 6 Ding, Shijin 6 Lasarzik, Robert 6 Petcu, Madalina 6 Quintanilla de Latorre, Ramón 5 Chen, Yazhou 5 Frigeri, Sergio 5 Hieber, Matthias 5 Hou, Dianming 5 Khanmamedov, Azer Kh. 5 Makki, Ahmad 5 Petzeltová, Hana 5 Pierre, Morgan 5 Scala, Riccardo 5 Shillor, Meir 5 Tomassetti, Giuseppe 5 Yayla, Sema 5 Zarnescu, Arghir Dani 5 Zhong, Xin 5 Zhu, Peicheng 4 Boldrini, José Luiz 4 Campo, Marco A. 4 Davoli, Elisa 4 Fabrizio, Mauro 4 Fan, Jishan 4 Fernández, Jose Ramon 4 Fritz, Marvin 4 Guillén González, Francisco M. 4 Huang, Jinrui 4 Kopfová, Jana 4 Kotschote, Matthias 4 Krejčí, Pavel 4 Li, Yinghua 4 Luterotti, Fabio 4 Ma, Yangjun 4 Oden, John Tinsley 4 Pawlow, Irena 4 Prüß, Jan Wilhelm 4 Shi, Xiaoding 4 Tang, Shaojun 4 Thomas, Marita 4 Wang, Dehua 4 Wang, Hong 4 Wang, Zhao 4 Wen, Huanyao 4 Xu, Chuanju 4 Yang, Zhijian 4 Yin, Jingxue 4 Zheng, Songmu 4 Zhu, Changjiang 3 Ainsworth, Mark 3 Alber, Hans-Dieter 3 Bonforte, Matteo 3 Bulíček, Miroslav 3 Climent-Ezquerra, Blanca 3 Colturato, Michele 3 Della Porta, Francesco ...and 708 more Authors all top 5 Cited in 167 Serials 60 Journal of Differential Equations 49 Journal of Mathematical Analysis and Applications 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 24 Mathematical Methods in the Applied Sciences 24 SIAM Journal on Mathematical Analysis 24 Discrete and Continuous Dynamical Systems. Series S 21 Applied Mathematics and Optimization 21 Nonlinear Analysis. Real World Applications 21 Communications on Pure and Applied Analysis 18 Archive for Rational Mechanics and Analysis 17 Discrete and Continuous Dynamical Systems 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Discrete and Continuous Dynamical Systems. Series B 13 Journal of Evolution Equations 12 Calculus of Variations and Partial Differential Equations 11 Applicable Analysis 11 Applications of Mathematics 10 Computers & Mathematics with Applications 10 Asymptotic Analysis 10 Journal of Nonlinear Science 10 Boundary Value Problems 10 AIMS Mathematics 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Physica D 9 European Journal of Applied Mathematics 7 Nonlinearity 7 Quarterly of Applied Mathematics 7 Journal of Scientific Computing 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Journal of Mathematical Fluid Mechanics 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Journal of Computational Physics 6 Journal of Mathematical Physics 6 Journal of Computational and Applied Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 Applied Numerical Mathematics 5 Applied Mathematics Letters 5 Electronic Journal of Differential Equations (EJDE) 5 NoDEA. Nonlinear Differential Equations and Applications 5 Interfaces and Free Boundaries 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Evolution Equations and Control Theory 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Applied Mathematics and Computation 4 Mathematische Nachrichten 4 SIAM Journal on Control and Optimization 4 Zeitschrift für Analysis und ihre Anwendungen 4 Communications in Partial Differential Equations 4 SIAM Journal on Scientific Computing 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Stochastics and Dynamics 4 Journal of Hyperbolic Differential Equations 4 Mathematical Control and Related Fields 4 Advances in Nonlinear Analysis 3 Journal of Statistical Physics 3 Chaos, Solitons and Fractals 3 Journal of Functional Analysis 3 Chinese Annals of Mathematics. Series B 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Numerical Algorithms 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Topological Methods in Nonlinear Analysis 3 Abstract and Applied Analysis 3 Discrete Dynamics in Nature and Society 3 Acta Mathematica Sinica. English Series 3 Communications in Nonlinear Science and Numerical Simulation 3 Analysis and Applications (Singapore) 3 Journal of Elliptic and Parabolic Equations 3 Electronic Research Archive 2 International Journal of Engineering Science 2 Inverse Problems 2 Journal of Fluid Mechanics 2 Journal of the Mechanics and Physics of Solids 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematical Modelling 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Dynamics and Differential Equations 2 Continuum Mechanics and Thermodynamics 2 Journal of Convex Analysis 2 Advances in Computational Mathematics 2 Journal of Applied Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Dynamical and Control Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 International Journal of Numerical Analysis and Modeling 2 Journal of Statistical Mechanics: Theory and Experiment 2 Advances in Applied Mathematics and Mechanics 2 Science China. Mathematics 2 Journal of Applied Analysis and Computation ...and 67 more Serials all top 5 Cited in 33 Fields 741 Partial differential equations (35-XX) 262 Fluid mechanics (76-XX) 110 Mechanics of deformable solids (74-XX) 110 Classical thermodynamics, heat transfer (80-XX) 107 Numerical analysis (65-XX) 72 Statistical mechanics, structure of matter (82-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 53 Biology and other natural sciences (92-XX) 49 Dynamical systems and ergodic theory (37-XX) 31 Operator theory (47-XX) 30 Probability theory and stochastic processes (60-XX) 20 Integral equations (45-XX) 16 Real functions (26-XX) 15 Ordinary differential equations (34-XX) 14 Geophysics (86-XX) 14 Systems theory; control (93-XX) 12 Global analysis, analysis on manifolds (58-XX) 8 Functional analysis (46-XX) 5 Approximations and expansions (41-XX) 4 Measure and integration (28-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Citations by Year