Edit Profile Miranville, Alain M. Compute Distance To: Compute Author ID: miranville.alain-m Published as: Miranville, A.; Miranville, Alain; Miranville, Alain M. Homepage: http://wwwmathlabo.univ-poitiers.fr/~miranv/ External Links: MGP · dblp Documents Indexed: 230 Publications since 1993, including 13 Books all top 5 Co-Authors 52 single-authored 23 Cherfils, Laurence 23 Gatti, Stefania 21 Zelik, Sergey V. 19 Quintanilla de Latorre, Ramón 17 Grasselli, Maurizio 11 Efendiev, Messoud 11 Schimperna, Giulio 10 Pata, Vittorino 9 Conti, Monica C. 8 Temam, Roger Meyer 7 Piétrus, Alain 6 Gal, Ciprian Gheorghe Sorin 6 Peng, Shuiran 5 Chepyzhov, Vladimir V. 5 Fakih, Hussein 5 Guillevin, Rémy 5 Makki, Ahmad 5 Moroşanu, Costică 5 Rakotoson, Jean-Michel 4 Bonfoh, Ahmed S. 4 Carrive, Maïté 4 Fabrie, Pierre 4 Galusinski, Cédric 4 Henrot, Antoine 4 Perrillat-Mercerot, Angélique 4 Saoud, Wafa 3 Guillevin, Carole 3 Magaña, Antonio 3 Ruiz Goldstein, Giséle 3 Talhouk, Raafat 2 Alaa, Noureddine 2 Aouadi, Moncef 2 Bourmeyster, Nicolas 2 Dambrine, Marc 2 Deheuvels, Thibaut 2 Fragnelli, Genni 2 Gilardi, Gianni 2 Giorgini, Andrea 2 Israel, Haydi 2 Laamri, El Haj 2 Muresan, Adrian C. 2 Petcu, Madalina 2 Rocca, Elisabetta 2 Roche, Jean Rodolphe 2 Schmitt, Didier 2 Wang, Xiaoming 2 Zhang, Wen 1 Alsayed, Hawraa 1 Andami Ovono, Armel 1 Aziz-Alaoui, Moulay-Ahmed 1 Barbu, Tudor 1 Belinsky, Boris P. 1 Bosia, Stefano 1 Cantin, Guillaume 1 Cârjă, Ovidiu 1 Cavaterra, Cecilia 1 Chehab, Jean-Paul 1 Chen, Min 1 Dell’Oro, Filippo 1 Dubois, Thomas 1 Eden, Alp 1 Goldstein, Jerome Arthur 1 Hnid, Mohammed 1 Hou, Xiaojie 1 Ilyin, Alexei A. 1 Kalantarov, Varga K. 1 Lan, Kunquan 1 Langa, Jose’ Antonio 1 Li, Lu 1 Lichnewsky, Alain 1 Lods, Véronique 1 Lorenzi, Luca 1 Lu, Xin 1 Mininni, Rosa Maria 1 Naudin, Mathieu 1 Ntsokongo, Armel Judice 1 Qin, Yuming 1 Real Anguas, José 1 Romanelli, Silvia 1 Rossi, Riccarda 1 Rougirel, Arnaud 1 Ruget, Claudine 1 Saad, Mazen 1 Sadaka, Georges 1 Segatti, Antonio 1 Shivaji, Ratnasingham 1 Showalter, Ralph E. 1 Stefanelli, Ulisse 1 Su, Jianzhong 1 Titi, Edriss Saleh 1 Truskinovsky, Lev 1 Visintin, Augusto 1 Wang, Rongnian 1 Wang, Xiuqing 1 Wehbe, Ali 1 Wehbe, Charbel 1 Wu, Hao 1 Xu, Chuanju 1 Yan, Xingjie 1 Yang, Xinguang ...and 4 more Co-Authors all top 5 Serials 17 Discrete and Continuous Dynamical Systems 17 Discrete and Continuous Dynamical Systems. Series S 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Communications on Pure and Applied Analysis 8 Mathematical Methods in the Applied Sciences 8 Applied Mathematics Letters 8 Asymptotic Analysis 7 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 6 Applicable Analysis 6 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Applied Analysis and Computation 3 Nonlinearity 3 Mathematische Nachrichten 3 Quarterly of Applied Mathematics 3 Physica D 3 Applications of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Advances in Mathematical Sciences and Applications 3 Electronic Journal of Differential Equations (EJDE) 3 Mediterranean Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Optimization 2 Differential and Integral Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Mathematical Study 2 Journal of Evolution Equations 2 Milan Journal of Mathematics 2 Central European Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 AIMS Mathematics 1 IMA Journal of Applied Mathematics 1 International Journal of Engineering Science 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Nonlinear World 1 Computational and Applied Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Applied Mathematics 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Analysis and Applications (Singapore) 1 Cubo 1 Mathematical Biosciences and Engineering 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Inverse Problems and Imaging 1 AIMS Series on Differential Equations and Dynamical Systems 1 SIAM Journal on Imaging Sciences 1 Electronic Research Announcements in Mathematical Sciences 1 Bulletin of the Transilvania University of Braşov. Series III. Mathematics, Informatics, Physics 1 Annals of the University of Bucharest. Mathematical Series 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations 1 Electronic Research Archive all top 5 Fields 205 Partial differential equations (35-XX) 45 Dynamical systems and ergodic theory (37-XX) 44 Classical thermodynamics, heat transfer (80-XX) 34 Mechanics of deformable solids (74-XX) 29 Fluid mechanics (76-XX) 16 General and overarching topics; collections (00-XX) 11 Numerical analysis (65-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Operator theory (47-XX) 7 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 History and biography (01-XX) 4 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Optics, electromagnetic theory (78-XX) 1 Real functions (26-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 182 Publications have been cited 2,237 times in 814 Documents Cited by ▼ Year ▼ Attractors for dissipative partial differential equations in bounded and unbounded domains. Zbl 1221.37158Miranville, A.; Zelik, S. 141 2008 Exponential attractors for a nonlinear reaction-diffusion system in \(\mathbb R^3\). Zbl 1151.35315Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 98 2000 Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey 82 2004 The Cahn-Hilliard equation with logarithmic potentials. Zbl 1250.35129Cherfils, Laurence; Miranville, Alain; Zelik, Sergey 76 2011 Robust exponential attractors for Cahn-Hilliard type equations with singular potentials. Zbl 1050.35113Miranville, Alain; Zelik, Sergey 69 2004 On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417Gilardi, Gianni; Miranville, A.; Schimperna, Giulio 63 2009 Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems. Zbl 1088.37005Efendiev, M.; Zelik, S.; Miranville, A. 60 2005 Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1068.35020Miranville, A.; Zelik, S. 54 2005 Exponential attractors for a singularly perturbed Cahn-Hilliard system. Zbl 1046.37047Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 39 2004 The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions. Zbl 1203.35046Miranville, Alain; Zelik, Sergey 35 2010 On the Caginalp system with dynamic boundary conditions and singular potentials. Zbl 1212.35012Cherfils, Laurence; Miranville, Alain 33 2009 The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials. Zbl 1194.35074Grasselli, Maurizio; Miranville, Alain; Schimperna, Giulio 30 2010 Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials. Zbl 1133.35017Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino; Zelik, Sergey 30 2007 Hyperbolic relaxation of the viscous Cahn-Hilliard equation in 3-D. Zbl 1073.35043Gatti, Stefania; Grasselli, Maurizio; Pata, Vittorino; Miranville, Alain 30 2005 Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1223.35067Gilardi, Gianni; Miranville, Alain; Schimperna, Giulio 29 2010 Mathematical modelling in continuum mechanics. 2nd ed. Zbl 1077.76001Temam, Roger; Miranville, Alain M. 29 2005 Some results on the asymptotic behavior of the Caginalp system with singular potentials. Zbl 1145.35042Cherfils, Laurence; Miranville, Alain 27 2007 On the hyperbolic relaxation of the one-dimensional Cahn–Hilliard equation. Zbl 1160.35518Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino 27 2005 Robust exponential attractors for singularly perturbed phase-field type equations. Zbl 1004.35024Miranville, Alain; Zelik, Sergey 27 2002 A Cahn-Hilliard model in a domain with non-permeable walls. Zbl 1228.35051Goldstein, Gisèle Ruiz; Miranville, Alain; Schimperna, Giulio 26 2011 Pullback exponential attractors. Zbl 1303.37032Langa, José A.; Miranville, Alain; Real, José 26 2010 Some generalizations of the Caginalp phase-field system. Zbl 1178.35194Miranville, Alain; Quintanilla, Ramon 26 2009 A generalization of the Caginalp phase-field system based on the Cattaneo law. Zbl 1167.35304Miranville, Alain; Quintanilla, Ramon 26 2009 A construction of a robust family of exponential attractors. Zbl 1078.37047Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino 26 2006 A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls. Zbl 1276.49014Cherfils, L.; Gatti, S.; Miranville, A. 25 2013 Asymptotic behavior of a phase-field system with dynamic boundary conditions. Zbl 1123.35310Gatti, Stefania; Miranville, Alain 25 2006 Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations. Zbl 1084.35058Ilyin, A. A.; Miranville, A.; Titi, E. S. 23 2004 A type III phase-field system with a logarithmic potential. Zbl 1213.35187Miranville, Alain; Quintanilla, Ramon 20 2011 A phase-field model based on a three-phase-lag heat conduction. Zbl 1213.35111Miranville, Alain; Quintanilla, Ramon 20 2011 Uniform global attractors for non-isothermal viscous and non-viscous Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1183.35052Gal, Ciprian G.; Miranville, Alain 20 2009 The Cahn-Hilliard equation for deformable elastic continua. Zbl 0987.35156Carrive, M.; Miranville, A.; Piétrus, A. 20 2000 Cahn-Hilliard-Navier-Stokes systems with moving contact lines. Zbl 1372.35140Gal, C. G.; Grasselli, Maurizio; Miranville, Alain 19 2016 Attractors for semi-linear equations of viscoelasticity with very low dissipation. Zbl 1179.35070Gatti, S.; Miranville, A.; Pata, V.; Zelik, S. 19 2008 On a generalized Cahn-Hilliard equation with biological applications. Zbl 1304.35133Cherfils, Laurence; Miranville, Alain; Zelik, Sergey 18 2014 Continuous families of exponential attractors for singularly perturbed equations with memory. Zbl 1196.35054Gatti, Stefania; Miranville, Alain; Pata, Vittorino; Zelik, Sergey 17 2010 Some mathematical models in phase transition. Zbl 1275.35048Miranville, Alain 16 2014 Asymptotic behavior of the Cahn-Hilliard-Oono equation. Zbl 1304.35342Miranville, Alain 16 2011 Nonisothermal Allen-Cahn equations with coupled dynamic boundary conditions. Zbl 1178.35076Gal, Ciprian; Grasselli, Maurizio; Miranville, Alain 16 2008 Exponential attractors for singularly perturbed damped wave equations: a simple construction. Zbl 1139.35030Miranville, Alain; Pata, Vittorino; Zelik, Sergey 16 2007 Exponential attractors for nonautonomous first-order evolution equations. Zbl 0980.34051Fabrie, Pierre; Miranville, Alain 16 1998 Asymptotic behavior of a sixth-order Cahn-Hilliard system. Zbl 1286.35047Miranville, Alain 15 2014 Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials. Zbl 1143.35070Cherfils, Laurence; Gatti, Stefania; Miranville, Alain 15 2008 Memory relaxation of first order evolution equations. Zbl 1181.35026Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino 15 2005 Some generalizations of the Cahn-Hilliard equation. Zbl 0953.35055Miranville, Alain 15 2000 The Cahn-Hilliard equation. Recent advances and applications. Zbl 1446.35001Miranville, Alain 14 2019 On the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation with logarithmic nonlinear terms. Zbl 1381.35082Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 14 2015 Phase-field systems with nonlinear coupling and dynamic boundary conditions. Zbl 1184.35053Cavaterra, Cecilia; Gal, Ciprian G.; Grasselli, Maurizio; Miranville, Alain 14 2010 Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations. Zbl 0949.35112Miranville, Alain; Wang, Xiaoming 14 1996 On the long time behavior of a tumor growth model. Zbl 1416.35279Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio 13 2019 The Cahn-Hilliard-Oono equation with singular potential. Zbl 1386.35023Giorgini, Andrea; Grasselli, Maurizio; Miranville, Alain 13 2017 A Cahn-Hilliard-Gurtin model with dynamic boundary conditions. Zbl 1277.35202Goldstein, Gisèle Ruiz; Miranville, Alain 13 2013 Finite-dimensional attractors for reaction-diffusion equations in \(\mathbb{R}^n\) with a strong nonlinearity. Zbl 0959.35025Efendiev, Messoud; Miranville, Alain 13 1999 Exponential decay in one-dimensional type III thermoelasticity with voids. Zbl 1415.35259Miranville, Alain; Quintanilla, Ramón 12 2019 The Cahn-Hilliard equation and some of its variants. Zbl 1425.35086Miranville, Alain 12 2017 Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 06398723Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 12 2015 Asymptotic behaviour of a generalized Cahn-Hilliard equation with a proliferation term. Zbl 06190759Miranville, Alain 12 2013 On the conserved phase-field model. Zbl 1308.35125Miranville, Alain 12 2013 On Cahn-Hilliard-Gurtin equations. Zbl 1042.74553Bonfoh, Ahmed; Miranville, Alain 12 2001 Singularly perturbed 1D Cahn-Hilliard equation revisited. Zbl 1387.35341Bonfoh, Ahmed; Grasselli, Maurizio; Miranville, Alain 11 2010 Robust exponential attractors for singularly perturbed phase-field equations with dynamic boundary conditions. Zbl 1180.35119Gal, Ciprian G.; Grasselli, Maurizio; Miranville, Alain 11 2008 On trajectory and global attractors for semilinear heat equations with fading memory. Zbl 1186.37092Chepyzhov, V. V.; Miranville, A. 11 2006 Nonisothermal phase separation based on a microforce balance. Zbl 1140.80388Miranville, Alain; Schimperna, Giulio 11 2005 Mathematical modelling in continuum mechanics. Zbl 0993.76002Temam, Roger; Miranville, Alain 11 2001 A model of Cahn-Hilliard equation based on a microforce balance. Zbl 0932.35118Miranville, Alain 11 1999 Dynamical aspect of a generalized Cahn-Hilliard equation based on a microforce balance. Zbl 0936.35036Miranville, A.; Piétrus, A.; Rakotoson, J. M. 11 1998 A generalization of the Allen-Cahn equation. Zbl 1320.35346Miranville, Alain; Quintanilla, Ramon 10 2015 Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility. Zbl 1241.35024Grasselli, Maurizio; Miranville, Alain; Rossi, Riccarda; Schimperna, Giulio 10 2011 Trajectory and global attractors for evolution equations with memory. Zbl 1082.35035Chepyzhov, V. V.; Gatti, S.; Grasselli, M.; Miranville, A.; Pata, V. 10 2006 Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system. Zbl 1025.37043Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 10 2003 Long-time behavior of some models of Cahn-Hilliard equations in deformable continua. Zbl 0989.35066Miranville, Alain 10 2001 Attractors for nonautonomous nonhomogeneous Navier-Stokes equations. Zbl 0908.35098Miranville, A.; Wang, X. 10 1997 Incremental unknowns in finite differences in three space dimensions. Zbl 0841.65089Chen, Min; Miranville, A.; Temam, Roger 10 1995 Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard System. Zbl 1419.35160Giorgini, Andrea; Miranville, Alain; Temam, Roger 9 2019 Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation. Zbl 1072.35045Efendiev, M.; Miranville, A.; Zelik, S. 9 2004 Consistent models of Cahn-Hilliard-Gurtin equations with Neumann boundary conditions. Zbl 0999.74007Miranville, Alain 9 2001 Higher-order Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1366.35062Mininni, Rosa Maria; Miranville, Alain; Romanelli, Silvia 8 2017 A Cahn-Hilliard system with a fidelity term for color image inpainting. Zbl 1381.94014Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 8 2016 Sixth-order Cahn-Hilliard systems with dynamic boundary conditions. Zbl 1323.35093Miranville, Alain 8 2015 On the longtime behavior of a 2D hydrodynamic model for chemically reacting binary fluid mixtures. Zbl 1292.35056Bosia, Stefano; Grasselli, Maurizio; Miranville, Alain 8 2014 Inertial manifolds for a singular perturbation of the viscous Cahn-Hilliard-Gurtin equation. Zbl 1211.35054Bonfoh, Ahmed; Grasselli, Maurizio; Miranville, Alain 8 2010 On a doubly nonlinear Cahn-Hilliard-Gurtin system. Zbl 1203.35045Miranville, Alain; Schimperna, Giulio 8 2010 Doubly nonlinear Cahn-Hilliard-Gurtin equations. Zbl 1191.35068Miranville, A.; Zelik, S. 8 2009 Robust exponential attractors and convergence to equilibria for non-isothermal Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1173.35026Gal, Ciprian G.; Miranville, Alain 8 2009 Long time behavior of a singular perturbation of the viscous Cahn-Hilliard-Gurtin equation. Zbl 1145.35011Bonfoh, Ahmed; Grasselli, Maurizio; Miranville, Alain 8 2008 The dimension of the global attractor for dissipative reaction-diffusion systems. Zbl 1041.37039Efendiev, M.; Miranville, A. 8 2003 Incremental unknowns on nonuniform meshes. Zbl 0913.65088Chehab, J.-P.; Miranville, A. 8 1998 Exponential decay in one-dimensional type II thermoviscoelasticity with voids. Zbl 1439.35071Miranville, Alain; Quintanilla, Ramón 7 2020 A Caginalp phase-field system based on type III heat conduction with two temperatures. Zbl 1338.35233Miranville, Alain; Quintanilla, Ramon 7 2016 Sixth-order Cahn-Hilliard equations with singular nonlinear terms. Zbl 1332.35149Miranville, Alain 7 2015 Asymptotic behavior of the Caginalp phase-field system with coupled dynamic boundary conditions. Zbl 1244.35067Conti, Monica; Gatti, Stefania; Miranville, Alain 7 2012 Global solution to a phase transition model based on a microforce balance. Zbl 1074.35050Miranville, Alain; Schimperna, Giulio 7 2005 Global and exponential attractors for nonlinear reaction-diffusion systems in unbounded domains. Zbl 1149.37328Efendiev, M.; Miranville, A.; Zelik, S. 7 2004 Generalized Cahn-Hilliard equations with a logarithmic free energy. Zbl 1002.35062Cherfils, L.; Miranville, A. 7 2000 On the dimension of the attractor for the Bénard problem with free surfaces. Zbl 0910.35148Miranville, A.; Ziane, M. 7 1997 Higher-order anisotropic models in phase separation. Zbl 1422.35109Cherfils, Laurence; Miranville, Alain; Peng, Shuiran 6 2019 A complex version of the Cahn-Hilliard equation for grayscale image inpainting. Zbl 1377.35143Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 6 2017 On the Cahn-Hilliard-Oono-Navier-Stokes equations with singular potentials. Zbl 1349.35171Miranville, Alain; Temam, Roger 6 2016 Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions. Zbl 1346.35029Miranville, Alain; Makki, Ahmad 6 2016 Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory. Zbl 1343.35036Miranville, Alain; Aouadi, Moncef 6 2015 Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems. Zbl 1334.35106Makki, Ahmad; Miranville, Alain 6 2015 A coupled Cahn-Hilliard model for the proliferative-to-invasive transition of hypoxic glioma cells. Zbl 07333609Li, Lu; Miranville, Alain; Guillevin, Rémy 1 2021 Exponential decay in one-dimensional type II thermoviscoelasticity with voids. Zbl 1439.35071Miranville, Alain; Quintanilla, Ramón 7 2020 Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids. Zbl 1453.35167Magaña, A.; Miranville, A.; Quintanilla, R. 1 2020 Long-time behavior of the Cahn-Hilliard equation with dynamic boundary condition. Zbl 1443.35054Miranville, Alain; Wu, Hao 1 2020 The Cahn-Hilliard equation. Recent advances and applications. Zbl 1446.35001Miranville, Alain 14 2019 On the long time behavior of a tumor growth model. Zbl 1416.35279Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio 13 2019 Exponential decay in one-dimensional type III thermoelasticity with voids. Zbl 1415.35259Miranville, Alain; Quintanilla, Ramón 12 2019 Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard System. Zbl 1419.35160Giorgini, Andrea; Miranville, Alain; Temam, Roger 9 2019 Higher-order anisotropic models in phase separation. Zbl 1422.35109Cherfils, Laurence; Miranville, Alain; Peng, Shuiran 6 2019 On the time decay in phase-lag thermoelasticity with two temperatures. Zbl 1428.74057Magaña, Antonio; Miranville, Alain; Quintanilla, Ramón 4 2019 Existence of solutions to a Cahn-Hilliard type equation with a logarithmic nonlinear term. Zbl 1409.35110Miranville, Alain 3 2019 Mathematical analysis of a model for proliferative-to-invasive transition of hypoxic glioma cells. Zbl 1434.35253Conti, Monica; Gatti, Stefania; Miranville, Alain 2 2019 On the Cahn-Hilliard/Allen-Cahn equations with singular potentials. Zbl 1420.35118Miranville, Alain; Saoud, Wafa; Talhouk, Raafat 2 2019 Finite difference scheme for 2D parabolic problem modelling electrostatic micro-electromechanical systems. Zbl 1427.78025Alsayed, Hawraa; Fakih, Hussein; Miranville, Alain; Wehbe, Ali 1 2019 Analysis of a mathematical model for the glutamate/glutamine cycle in the brain. Zbl 1427.92036Perrillat-Mercerot, A.; Bourmeyster, N.; Guillevin, C.; Miranville, A.; Guillevin, R. 1 2019 Analysis of a mathematical model for brain lactate kinetics. Zbl 1406.92082Guillevin, Carole; Guillevin, Rémy; Miranville, Alain; Perrillat-Mercerot, Angélique 3 2018 On the stability in phase-lag heat conduction with two temperatures. Zbl 1457.80005Magaña, Antonio; Miranville, Alain; Quintanilla, Ramón 2 2018 Asymptotic behavior of higher-order Navier-Stokes-Cahn-Hilliard systems. Zbl 1394.35227Cherfils, Laurence; Gatti, Stefania; Miranville, Alain 1 2018 On higher-order anisotropic conservative Caginalp phase-field systems. Zbl 1388.35089Miranville, Alain 1 2018 The Cahn-Hilliard-Oono equation with singular potential. Zbl 1386.35023Giorgini, Andrea; Grasselli, Maurizio; Miranville, Alain 13 2017 The Cahn-Hilliard equation and some of its variants. Zbl 1425.35086Miranville, Alain 12 2017 Higher-order Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1366.35062Mininni, Rosa Maria; Miranville, Alain; Romanelli, Silvia 8 2017 A complex version of the Cahn-Hilliard equation for grayscale image inpainting. Zbl 1377.35143Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 6 2017 A singular reaction-diffusion equation associated with brain lactate kinetics. Zbl 1365.35072Miranville, Alain 4 2017 Asymptotic behavior of a model for order-disorder and phase separation. Zbl 1379.35249Miranville, Alain; Saoud, Wafa; Talhouk, Raafat 3 2017 On a Caginalp phase-field system with two temperatures and memory. Zbl 1372.35047Conti, M.; Gatti, S.; Miranville, A.; Quintanilla, R. 3 2017 On a reaction-diffusion system associated with brain lactate kinetics. Zbl 1357.35188Guillevin, Rémy; Miranville, Alain; Perrillat-Mercerot, Angélique 3 2017 Higher-order generalized Cahn-Hilliard equations. Zbl 1413.35249Cherfils, Laurence; Miranville, Alain; Peng, Shuiran; Zhang, Wen 2 2017 Mathematical analysis of a parabolic-elliptic model for brain lactate kinetics. Zbl 1390.35157Miranville, Alain 2 2017 A phase-field system with two temperatures and memory. Zbl 1424.35057Conti, Monica; Gatti, Stefania; Miranville, Alain 2 2017 On the spatial behavior in two-temperature generalized thermoelastic theories. Zbl 1378.35299Miranville, Alain; Quintanilla, Ramon 1 2017 Cahn-Hilliard-Navier-Stokes systems with moving contact lines. Zbl 1372.35140Gal, C. G.; Grasselli, Maurizio; Miranville, Alain 19 2016 A Cahn-Hilliard system with a fidelity term for color image inpainting. Zbl 1381.94014Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 8 2016 A Caginalp phase-field system based on type III heat conduction with two temperatures. Zbl 1338.35233Miranville, Alain; Quintanilla, Ramon 7 2016 On the Cahn-Hilliard-Oono-Navier-Stokes equations with singular potentials. Zbl 1349.35171Miranville, Alain; Temam, Roger 6 2016 Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions. Zbl 1346.35029Miranville, Alain; Makki, Ahmad 6 2016 On the phase-field-crystal model with logarithmic nonlinear terms. Zbl 1336.35086Miranville, Alain 5 2016 Higher-order Allen-Cahn models with logarithmic nonlinear terms. Zbl 1364.35363Cherfils, Laurence; Miranville, Alain; Peng, Shuiran 4 2016 Higher-order anisotropic Caginalp phase-field systems. Zbl 1362.35052Miranville, Alain 3 2016 On the Caginalp phase-field systems with two temperatures and the Maxwell-Cattaneo law. Zbl 1348.35102Miranville, Alain; Quintanilla, Ramon 3 2016 Analysis of an iterative scheme of fractional steps type associated to the nonlinear phase-field equation with non-homogeneous dynamic boundary conditions. Zbl 1353.65094Miranville, Alain; Moroşanu, Costică 2 2016 On the existence, uniqueness and regularity of solutions to the phase-field transition system with non-homogeneous Cauchy-Neumann and nonlinear dynamic boundary conditions. Zbl 1443.35061Miranville, Alain; Moroşanu, Costică 1 2016 On the Caginalp phase-field system based on the Cattaneo law with nonlinear coupling. Zbl 1427.35111Andami Ovono, Armel; Miranville, Alain 1 2016 On the anisotropic Caginalp phase-field system with singular nonlinear terms. Zbl 1348.35097Miranville, Alain 1 2016 On the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation with logarithmic nonlinear terms. Zbl 1381.35082Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 14 2015 Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 06398723Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 12 2015 A generalization of the Allen-Cahn equation. Zbl 1320.35346Miranville, Alain; Quintanilla, Ramon 10 2015 Sixth-order Cahn-Hilliard systems with dynamic boundary conditions. Zbl 1323.35093Miranville, Alain 8 2015 Sixth-order Cahn-Hilliard equations with singular nonlinear terms. Zbl 1332.35149Miranville, Alain 7 2015 Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory. Zbl 1343.35036Miranville, Alain; Aouadi, Moncef 6 2015 Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems. Zbl 1334.35106Makki, Ahmad; Miranville, Alain 6 2015 On the existence, uniqueness and regularity of solutions to the phase-field system with a general regular potential and a general class of nonlinear and non-homogeneous boundary conditions. Zbl 1304.35167Cârjă, Ovidiu; Miranville, Alain; Moroşanu, Costică 5 2015 Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin-Pipkin’s model. Zbl 1333.35270Aouadi, Moncef; Miranville, Alain 4 2015 Numerical analysis of a Cahn-Hilliard type equation with dynamic boundary conditions. Zbl 1320.65142Israel, Haydi; Miranville, Alain; Petcu, Madalina 4 2015 A generalized Cahn-Hilliard equation with logarithmic potentials. Zbl 1335.35098Miranville, Alain 3 2015 Multi-component Cahn-Hilliard systems with dynamic boundary conditions. Zbl 1350.35153Conti, Monica; Gatti, Stefania; Miranville, Alain 2 2015 A reformulation of the Caginalp phase-field system based on the Maxwell-Cattaneo law. Zbl 1423.82023Miranville, Alain 1 2015 On a generalized Cahn-Hilliard equation with biological applications. Zbl 1304.35133Cherfils, Laurence; Miranville, Alain; Zelik, Sergey 18 2014 Some mathematical models in phase transition. Zbl 1275.35048Miranville, Alain 16 2014 Asymptotic behavior of a sixth-order Cahn-Hilliard system. Zbl 1286.35047Miranville, Alain 15 2014 On the longtime behavior of a 2D hydrodynamic model for chemically reacting binary fluid mixtures. Zbl 1292.35056Bosia, Stefano; Grasselli, Maurizio; Miranville, Alain 8 2014 The Penrose-Fife phase-field model. Zbl 1304.35361Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio 5 2014 Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law. Zbl 1304.35123Miranville, Alain 1 2014 A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls. Zbl 1276.49014Cherfils, L.; Gatti, S.; Miranville, A. 25 2013 A Cahn-Hilliard-Gurtin model with dynamic boundary conditions. Zbl 1277.35202Goldstein, Gisèle Ruiz; Miranville, Alain 13 2013 Asymptotic behaviour of a generalized Cahn-Hilliard equation with a proliferation term. Zbl 06190759Miranville, Alain 12 2013 On the conserved phase-field model. Zbl 1308.35125Miranville, Alain 12 2013 Attractors for a Caginalp model with a logarithmic potential and coupled dynamic boundary conditions. Zbl 1282.35080Conti, Monica; Gatti, Stefania; Miranville, Alain 6 2013 A generalization of the Caginalp phase-field system with Neumann boundary conditions. Zbl 1288.35289Conti, Monica; Gatti, Stefania; Miranville, Alain 5 2013 Existence of solutions for a one-dimensional Allen-Cahn equation. Zbl 1292.35154Miranville, Alain 4 2013 Spatial decay for several phase-field models. Zbl 1433.76169Miranville, Alain; Quintanilla, Ramon 3 2013 Asymptotic behavior of a generalization of the Caginalp phase-field system. Zbl 1284.35434Conti, Monica; Dell’Oro, Filippo; Miranville, Alain 3 2013 A generalized conserved phase-field system based on type III heat conduction. Zbl 1288.35102Miranville, Alain 2 2013 Well-posedness and long time behavior of a perturbed Cahn-Hilliard system with regular potentials. Zbl 1295.35113Israel, Haydi; Miranville, Alain; Petcu, Madalina 2 2013 A conserved phase-field system based on the Maxwell-Cattaneo law. Zbl 1261.35045Miranville, Alain; Quintanilla, Ramon 1 2013 Asymptotic behavior of the Caginalp phase-field system with coupled dynamic boundary conditions. Zbl 1244.35067Conti, Monica; Gatti, Stefania; Miranville, Alain 7 2012 On a phase-field system based on the Cattaneo law. Zbl 1237.35089Miranville, Alain; Quintanilla, Ramon 6 2012 Long time behavior of the Caginalp system with singular potentials and dynamic boundary conditions. Zbl 1267.35032Cherfils, Laurence; Gatti, Stefania; Miranville, Alain 5 2012 On a phase-field model with a logarithmic nonlinearity. Zbl 1265.35139Miranville, Alain 5 2012 The Cahn-Hilliard equation with logarithmic potentials. Zbl 1250.35129Cherfils, Laurence; Miranville, Alain; Zelik, Sergey 76 2011 A Cahn-Hilliard model in a domain with non-permeable walls. Zbl 1228.35051Goldstein, Gisèle Ruiz; Miranville, Alain; Schimperna, Giulio 26 2011 A type III phase-field system with a logarithmic potential. Zbl 1213.35187Miranville, Alain; Quintanilla, Ramon 20 2011 A phase-field model based on a three-phase-lag heat conduction. Zbl 1213.35111Miranville, Alain; Quintanilla, Ramon 20 2011 Asymptotic behavior of the Cahn-Hilliard-Oono equation. Zbl 1304.35342Miranville, Alain 16 2011 Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility. Zbl 1241.35024Grasselli, Maurizio; Miranville, Alain; Rossi, Riccarda; Schimperna, Giulio 10 2011 A doubly nonlinear parabolic equation with a singular potential. Zbl 1207.35067Cherfils, Laurence; Gatti, Stefania; Miranville, Alain 2 2011 The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions. Zbl 1203.35046Miranville, Alain; Zelik, Sergey 35 2010 The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials. Zbl 1194.35074Grasselli, Maurizio; Miranville, Alain; Schimperna, Giulio 30 2010 Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1223.35067Gilardi, Gianni; Miranville, Alain; Schimperna, Giulio 29 2010 Pullback exponential attractors. Zbl 1303.37032Langa, José A.; Miranville, Alain; Real, José 26 2010 Continuous families of exponential attractors for singularly perturbed equations with memory. Zbl 1196.35054Gatti, Stefania; Miranville, Alain; Pata, Vittorino; Zelik, Sergey 17 2010 Phase-field systems with nonlinear coupling and dynamic boundary conditions. Zbl 1184.35053Cavaterra, Cecilia; Gal, Ciprian G.; Grasselli, Maurizio; Miranville, Alain 14 2010 Singularly perturbed 1D Cahn-Hilliard equation revisited. Zbl 1387.35341Bonfoh, Ahmed; Grasselli, Maurizio; Miranville, Alain 11 2010 Inertial manifolds for a singular perturbation of the viscous Cahn-Hilliard-Gurtin equation. Zbl 1211.35054Bonfoh, Ahmed; Grasselli, Maurizio; Miranville, Alain 8 2010 On a doubly nonlinear Cahn-Hilliard-Gurtin system. Zbl 1203.35045Miranville, Alain; Schimperna, Giulio 8 2010 A Caginalp phase-field system with a nonlinear coupling. Zbl 1197.35082Miranville, Alain; Quintanilla, Ramon 5 2010 On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417Gilardi, Gianni; Miranville, A.; Schimperna, Giulio 63 2009 On the Caginalp system with dynamic boundary conditions and singular potentials. Zbl 1212.35012Cherfils, Laurence; Miranville, Alain 33 2009 Some generalizations of the Caginalp phase-field system. Zbl 1178.35194Miranville, Alain; Quintanilla, Ramon 26 2009 A generalization of the Caginalp phase-field system based on the Cattaneo law. Zbl 1167.35304Miranville, Alain; Quintanilla, Ramon 26 2009 ...and 82 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 826 Authors 100 Miranville, Alain M. 39 Grasselli, Maurizio 36 Zelik, Sergey V. 35 Colli, Pierluigi 30 Quintanilla de Latorre, Ramón 26 Gal, Ciprian Gheorghe Sorin 25 Pata, Vittorino 22 Gilardi, Gianni 22 Schimperna, Giulio 21 Conti, Monica C. 21 Gatti, Stefania 17 Rocca, Elisabetta 16 Sprekels, Jürgen 15 Cherfils, Laurence 13 Giorgini, Andrea 13 Sun, Chunyou 13 Temam, Roger Meyer 13 Wu, Hao 12 Chepyzhov, Vladimir V. 12 Scarpa, Luca 11 Zhong, Chengkui 10 Bonfoh, Ahmed S. 10 Yang, Zhijian 9 Fukao, Takeshi 9 Shomberg, Joseph L. 8 Efendiev, Messoud 8 Garcke, Harald 8 Ilyin, Alexei A. 8 Kloeden, Peter Eris 8 Lam, Kei Fong 8 Moroşanu, Costică 8 Signori, Andrea 8 Zhou, Shengfan 7 Fakih, Hussein 7 Kalantarov, Varga K. 7 Marchini, Elsa Maria 7 Pražák, Dalibor 7 Yang, Meihua 7 Zhao, Xiaopeng 6 Bonetti, Elena 6 Duan, Jinqiao 6 Lasiecka, Irena 6 Magaña, Antonio 6 Marinoschi, Gabriela 6 Pierre, Morgan 6 Rossi, Riccarda 6 Segatti, Antonio 6 Webster, Justin T. 6 Yang, Xinguang 5 Chueshov, Igor’ Dmitrievich 5 Duan, Ning 5 Fernández, Jose Ramon 5 Goubet, Olivier 5 Heinemann, Christian 5 Kraus, Christiane 5 Li, Yongjun 5 Makki, Ahmad 5 Marín-Rubio, Pedro 5 Nolasco de Carvalho, Alexandre 5 Petzeltová, Hana 5 Savostianov, Anton K. 5 Sonner, Stefanie 5 Tachim Medjo, Theodore 5 Tomassetti, Giuseppe 5 Wang, Cheng 5 Yang, Lu 5 Zhu, Peicheng 4 Abdallah, Ahmed Y. 4 Bazarra, Noelia 4 Bulíček, Miroslav 4 Caraballo Garrido, Tomás 4 Cavaterra, Cecilia 4 Chehab, Jean-Paul 4 Czaja, Radosław 4 Davoli, Elisa 4 Dell’Oro, Filippo 4 Geredeli, Pelin G. 4 Li, Yinghua 4 Ma, To Fu 4 Mammeri, Youcef 4 Meng, Fengjuan 4 Ostoja-Starzewski, Martin 4 Real Anguas, José 4 Straughan, Brian 4 Verani, Marco 4 Vishik, Marko Iosifovich 4 Wang, Xiaoming 4 Wise, Steven M. 4 Yin, Jingxue 4 Zheng, Songmu 3 Alber, Hans-Dieter 3 Aouadi, Moncef 3 Boldrini, José Luiz 3 Boukrouche, Mahdi 3 Chai, Xiaojuan 3 Cholewa, Jan W. 3 Coti Zelati, Michele 3 Cui, Hongyong 3 di Plinio, Francesco 3 Ding, Pengyan ...and 726 more Authors all top 5 Cited in 184 Serials 49 Nonlinear Analysis. 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Second Series 2 Stochastics and Dynamics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis ...and 84 more Serials all top 5 Cited in 34 Fields 703 Partial differential equations (35-XX) 182 Dynamical systems and ergodic theory (37-XX) 142 Fluid mechanics (76-XX) 121 Mechanics of deformable solids (74-XX) 92 Classical thermodynamics, heat transfer (80-XX) 83 Numerical analysis (65-XX) 49 Statistical mechanics, structure of matter (82-XX) 39 Integral equations (45-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 36 Biology and other natural sciences (92-XX) 26 Ordinary differential equations (34-XX) 24 Operator theory (47-XX) 21 Probability theory and stochastic processes (60-XX) 14 Systems theory; control (93-XX) 10 Measure and integration (28-XX) 10 Information and communication theory, circuits (94-XX) 8 Computer science (68-XX) 8 Geophysics (86-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 2 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year