Edit Profile (opens in new tab) Rocca, Elisabetta Compute Distance To: Compute Author ID: rocca.elisabetta Published as: Rocca, Elisabetta; Rocca, E. External Links: MGP Documents Indexed: 99 Publications since 2000 10 Contributions as Editor Co-Authors: 67 Co-Authors with 103 Joint Publications 2,408 Co-Co-Authors all top 5 Co-Authors 6 single-authored 25 Schimperna, Giulio 17 Colli, Pierluigi 14 Sprekels, Jürgen 13 Gilardi, Gianni 12 Feireisl, Eduard 12 Krejčí, Pavel 8 Bonetti, Elena 8 Marinoschi, Gabriela 7 Rossi, Riccarda 6 Cavaterra, Cecilia 6 Frémond, Michel 6 Frigeri, Sergio 6 Hömberg, Dietmar 4 Eleuteri, Michela 4 Lam, Kei Fong 4 Lorenzi, Alfredo 4 Petzeltová, Hana 4 Reali, Alessandro 4 Valdinoci, Enrico 4 Wu, Hao 4 Zarnescu, Arghir Dani 3 Miranville, Alain M. 2 Auricchio, Ferdinando 2 Bosia, Stefano 2 Carraturo, Massimo 2 Dai, Mimi 2 Detmann, Bettina 2 Grasselli, Maurizio 2 Heinemann, Christian 2 Hintermüller, Michael 2 Kunisch, Karl 2 Leugering, Günter 2 Lorenzo, Guillermo 2 Melchionna, Stefano 2 Petzold, Thomas 2 Scala, Riccardo 2 Scarpa, Luca 2 Schonbek, Maria Elena 2 Thomas, Marita 1 Agosti, Abramo 1 Ball, John MacLeod 1 Barbu, Viorel 1 Biswas, Tania 1 Ciarletta, Pasquale 1 Ciepliński, Krzysztof 1 Favini, Angelo 1 Garcke, Harald 1 Giga, Yoshikazu 1 Giorgini, Andrea 1 Guillevin, Rémy 1 Kaiser, Hans-Christoph 1 Kloeden, Peter Eris 1 Knees, Dorothee 1 Kraus, Christiane 1 Lasiecka, Irena 1 Markowich, Peter Alexander 1 Mielke, Alexander 1 Orrieri, Carlo 1 Otto, Felix 1 Perrillat-Mercerot, Angélique 1 Rehberg, Joachim 1 Segatti, Antonio 1 Shirakawa, Ken 1 Signori, Andrea 1 Stefanelli, Ulisse 1 Truskinovsky, Lev 1 Visintin, Augusto 1 Xu, Xiang 1 Zuazua, Enrique all top 5 Serials 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Discrete and Continuous Dynamical Systems. Series S 5 Mathematical Methods in the Applied Sciences 5 Nonlinearity 5 SIAM Journal on Mathematical Analysis 5 Discrete and Continuous Dynamical Systems 4 Journal of Differential Equations 3 Archive for Rational Mechanics and Analysis 3 Applied Mathematics and Optimization 3 SIAM Journal on Control and Optimization 3 Advances in Mathematical Sciences and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Interfaces and Free Boundaries 2 Asymptotic Analysis 2 Applications of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications in Mathematical Sciences 2 Oberwolfach Reports 2 Springer INdAM Series 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Computational Mechanics 1 Journal of Integral Equations and Applications 1 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Journal of Inverse and Ill-Posed Problems 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Communications in Applied Analysis 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Mathematical Medicine and Biology 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Lecture Notes in Mathematics 1 Mathematical Control and Related Fields 1 Evolution Equations and Control Theory 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 94 Partial differential equations (35-XX) 30 Mechanics of deformable solids (74-XX) 30 Fluid mechanics (76-XX) 30 Classical thermodynamics, heat transfer (80-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 17 Biology and other natural sciences (92-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Integral equations (45-XX) 10 General and overarching topics; collections (00-XX) 5 Numerical analysis (65-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Optics, electromagnetic theory (78-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 1,018 times in 487 Documents Cited by ▼ Year ▼ Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 53 2010 Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 44 2017 A new approach to non-isothermal models for nematic liquid crystals. Zbl 1282.76059Feireisl, Eduard; Frémond, Michel; Rocca, Elisabetta; Schimperna, Giulio 41 2012 On a diffuse interface model of tumour growth. Zbl 1375.92031Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta 40 2015 Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in two dimensions. Zbl 1335.49010Frigeri, Sergio; Rocca, Elisabetta; Sprekels, Jürgen 37 2016 Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. 34 2017 On a non-isothermal model for nematic liquid crystals. Zbl 1372.76011Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio 31 2011 Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows. Zbl 1282.35087Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao 30 2013 Optimal control of treatment time in a diffuse interface model of tumor growth. Zbl 1403.35139Garcke, Harald; Lam, Kei Fong; Rocca, Elisabetta 29 2018 Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions. Zbl 1322.49006Rocca, E.; Sprekels, J. 28 2015 Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 28 2015 On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials. Zbl 1404.35456Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio 27 2018 A diffuse interface model for two-phase incompressible flows with non-local interactions and non-constant mobility. Zbl 1320.35257Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta 27 2015 Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential. Zbl 1330.76012Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir 25 2014 Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 25 2017 Universal attractor for some singular phase transition systems. Zbl 1062.82015Rocca, Elisabetta; Schimperna, Giulio 23 2004 Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 23 2007 Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy. Zbl 1446.76067Feireisl, Eduard; Schimperna, Giulio; Rocca, Elisabetta; Zarnescu, Arghir 22 2015 A degenerating PDE system for phase transitions and damage. Zbl 1295.35275Rocca, Elisabetta; Rossi, Riccarda 21 2014 Existence of solutions to a phase transition model with microscopic movements. Zbl 1194.35210Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta 21 2009 On the long time behavior of a tumor growth model. Zbl 1416.35279Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio 20 2019 On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities. Zbl 1382.35311Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta 19 2017 “Entropic” solutions to a thermodynamically consistent PDE system for phase transitions and damage. Zbl 1320.35153Rocca, Elisabetta; Rossi, Riccarda 18 2015 On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir 15 2018 On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids. Zbl 1383.76082Schimperna, Giulio; Rocca, Elisabetta; Eleuteri, Michela 15 2015 Global strong solutions of the full Navier-Stokes and \(Q\)-tensor system for nematic liquid crystal flows in two dimensions. Zbl 1348.35166Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao; Xu, Xiang 14 2016 Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 12 2019 Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids. Zbl 1360.35175Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio 12 2016 On a 3D isothermal model for nematic liquid crystals accounting for stretching terms. Zbl 1258.35188Cavaterra, Cecilia; Rocca, Elisabetta 11 2013 Non-local temperature-dependent phase-field models for non-isothermal phase transitions. Zbl 1128.80002Krejcí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 11 2007 Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials. Zbl 1151.74029Rocca, Elisabetta; Rossi, Riccarda 10 2008 On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. 10 2016 Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 10 2017 Long-time dynamics and optimal control of a diffuse interface model for tumor growth. Zbl 1464.35357Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao 10 2021 On the long-time behavior of some mathematical models for nematic liquid crystals. Zbl 1263.35041Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 9 2013 Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 9 2016 Identification of two memory kernels in a fully hyperbolic phase-field system. Zbl 1160.35072Lorenzi, A.; Rocca, E. 8 2008 A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions. Zbl 1141.74011Bonetti, Elena; Frémond, Michel; Rocca, Elisabetta 8 2007 Graded-material design based on phase-field and topology optimization. Zbl 1462.74129Carraturo, Massimo; Rocca, Elisabetta; Bonetti, Elena; Hömberg, Dietmar; Reali, Alessandro; Auricchio, Ferdinando 8 2019 On a nonlocal Cahn-Hilliard equation with a reaction term. Zbl 1334.35127Melchionna, Stefano; Rocca, Elisabetta 8 2014 Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth. Zbl 1390.35431Melchionna, Stefano; Rocca, Elisabetta 8 2017 Optimal boundary control of a simplified Ericksen-Leslie system for nematic liquid crystal flows in \(2D\). Zbl 1371.35216Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao 8 2017 Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007Gilardi, Gianni; Rocca, Elisabetta 8 2007 Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 7 2018 Well-posedness of a phase transition model with the possibility of voids. Zbl 1105.80007Frémond, Michel; Rocca, Elisabetta 7 2006 Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. Zbl 1177.76018Rocca, Elisabetta; Rossi, Riccarda 7 2008 On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio 7 2004 Optimal control of stochastic phase-field models related to tumor growth. Zbl 1459.35415Orrieri, Carlo; Rocca, Elisabetta; Scarpa, Luca 6 2020 The Penrose-Fife phase-field model. Zbl 1304.35361Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio 6 2014 A rigorous sharp interface limit of a diffuse interface model related to tumor growth. Zbl 1370.92076Rocca, Elisabetta; Scala, Riccardo 6 2017 A nonlocal phase-field model with nonconstant specific heat. Zbl 1129.74035Krejči, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 6 2007 Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta 5 2020 A rate-independent gradient system in damage coupled with plasticity via structured strains. Zbl 1366.74009Bonetti, Elena; Rocca, Elisabetta; Rossi, Riccarda; Thomas, Marita 5 2016 Global existence and long-time behaviour for a singular integro-differential phase-field system. Zbl 1140.45010Bonetti, Elena; Rocca, Elisabetta 5 2007 The conserved Penrose-Fife phase field model with special heat flux laws and memory effects. Zbl 1041.45013Rocca, Elisabetta 4 2002 Trajectory attractors for the Sun-Liu model for nematic liquid crystals in 3D. Zbl 1270.35121Frigeri, Sergio; Rocca, Elisabetta 4 2013 On the strongly damped wave equation with constraint. Zbl 1387.35418Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio 4 2017 Sharp interface control in a Penrose-Fife model. Zbl 1338.49007Colli, Pierluigi; Marinoschi, Gabriela; Rocca, Elisabetta 4 2016 A temperature-dependent phase-field model for phase separation and damage. Zbl 1371.35292Heinemann, Christian; Kraus, Christiane; Rocca, Elisabetta; Rossi, Riccarda 4 2017 Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken 4 2006 Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007Gilardi, Gianni; Rocca, Elisabetta 4 2006 A model for shape memory alloys with the possibility of voids. Zbl 1194.80092Frémond, Michel; Rocca, Elisabetta 4 2010 Analysis and simulations of multifrequency induction hardening. Zbl 1311.35305Hömberg, Dietmar; Petzold, Thomas; Rocca, Elisabetta 4 2015 Periodic waves in unsaturated porous media with hysteresis. Zbl 1402.35219Detmann, Bettina; Krejcí, Pavel; Rocca, Elisabetta 3 2018 Well-posedness of an extended model for water-ice phase transitions. Zbl 1259.82031Krejčí, Pavel; Rocca, Elisabetta 3 2013 Universal attractor for a Penrose-Fife system with special heat flux law. Zbl 1072.35047Schimperna, Giulio; Rocca, Elisabetta 3 2004 Solid-liquid phase changes with different densities. Zbl 1157.80385Frémond, Michel; Rocca, Elisabetta 3 2008 A model for resistance welding including phase transitions and Joule heating. Zbl 1237.80017Hömberg, Dietmar; Rocca, Elisabetta 3 2011 Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients. Zbl 1381.74039Heinemann, Christian; Rocca, Elisabetta 3 2015 A phase-field-based graded-material topology optimization with stress constraint. Zbl 1444.74047Auricchio, Ferdinando; Bonetti, Elena; Carraturo, Massimo; Hömberg, Dietmar; Reali, Alessandro; Rocca, Elisabetta 2 2020 Asymptotic analysis of a conserved phase-field model with memory for vanishing time relaxation. Zbl 0987.35157Rocca, Elisabetta 2 2000 A bottle in a freezer. Zbl 1202.80014Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 2 2009 Solvability of an unsaturated porous media flow problem with thermomechanical interaction. Zbl 1364.76218Detmann, Bettina; Krejčí, Pavel; Rocca, Elisabetta 2 2016 Weak solutions for the fully hyperbolic phase-field system of conserved type. Zbl 1125.80004Lorenzi, Alfredo; Rocca, Elisabetta 2 2007 A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity. Zbl 1221.35190Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 2 2011 The conserved Penrose–Fife system with Fourier heat flux law. Zbl 1036.35076Rocca, Elisabetta; Schimperna, Giulio 2 2003 Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 2 2018 The conserved Penrose-Fife system with temperature-dependent memory. Zbl 1055.35057Rocca, Elisabetta 1 2003 Some remarks on the conserved Penrose-Fife phase field model with memory effects. Zbl 1060.35051Rocca, E. 1 2002 Unsaturated deformable porous media flow with thermal phase transition. Zbl 1386.76163Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 1 2017 Erratum and corrigendum to: “Existence of solutions to some models of phase changes with microscopic movements”. Zbl 1430.35118Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta 1 2019 Direct and inverse problems for a parabolic integro-differential system of Caginalp-type. Zbl 1092.45007Lorenzi, Alfredo; Rocca, Elisabetta; Schimperna, Giulio 1 2005 Existence and uniqueness for the parabolic conserved phase-field model with memory. Zbl 1091.35102Rocca, Elisabetta 1 2004 Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Zbl 1387.35010 1 2017 Unified gradient flow structure of phase field systems via a generalized principle of virtual powers. Zbl 1365.74140Bonetti, Elena; Rocca, Elisabetta 1 2017 Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system. Zbl 1116.35028Rocca, Elisabetta; Schimperna, Giulio 1 2006 Phase separation in a gravity field. Zbl 1217.80118Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 1 2011 Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis. Zbl 1482.35277Rocca, Elisabetta; Scarpa, Luca; Signori, Andrea 1 2021 Long-time dynamics and optimal control of a diffuse interface model for tumor growth. Zbl 1464.35357Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao 10 2021 Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis. Zbl 1482.35277Rocca, Elisabetta; Scarpa, Luca; Signori, Andrea 1 2021 Optimal control of stochastic phase-field models related to tumor growth. Zbl 1459.35415Orrieri, Carlo; Rocca, Elisabetta; Scarpa, Luca 6 2020 Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta 5 2020 A phase-field-based graded-material topology optimization with stress constraint. Zbl 1444.74047Auricchio, Ferdinando; Bonetti, Elena; Carraturo, Massimo; Hömberg, Dietmar; Reali, Alessandro; Rocca, Elisabetta 2 2020 On the long time behavior of a tumor growth model. Zbl 1416.35279Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio 20 2019 Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 12 2019 Graded-material design based on phase-field and topology optimization. Zbl 1462.74129Carraturo, Massimo; Rocca, Elisabetta; Bonetti, Elena; Hömberg, Dietmar; Reali, Alessandro; Auricchio, Ferdinando 8 2019 Erratum and corrigendum to: “Existence of solutions to some models of phase changes with microscopic movements”. Zbl 1430.35118Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta 1 2019 Optimal control of treatment time in a diffuse interface model of tumor growth. Zbl 1403.35139Garcke, Harald; Lam, Kei Fong; Rocca, Elisabetta 29 2018 On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials. Zbl 1404.35456Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio 27 2018 On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir 15 2018 Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 7 2018 Periodic waves in unsaturated porous media with hysteresis. Zbl 1402.35219Detmann, Bettina; Krejcí, Pavel; Rocca, Elisabetta 3 2018 Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 2 2018 Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 44 2017 Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. 34 2017 Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 25 2017 On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities. Zbl 1382.35311Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta 19 2017 Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 10 2017 Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth. Zbl 1390.35431Melchionna, Stefano; Rocca, Elisabetta 8 2017 Optimal boundary control of a simplified Ericksen-Leslie system for nematic liquid crystal flows in \(2D\). Zbl 1371.35216Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao 8 2017 A rigorous sharp interface limit of a diffuse interface model related to tumor growth. Zbl 1370.92076Rocca, Elisabetta; Scala, Riccardo 6 2017 On the strongly damped wave equation with constraint. Zbl 1387.35418Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio 4 2017 A temperature-dependent phase-field model for phase separation and damage. Zbl 1371.35292Heinemann, Christian; Kraus, Christiane; Rocca, Elisabetta; Rossi, Riccarda 4 2017 Unsaturated deformable porous media flow with thermal phase transition. Zbl 1386.76163Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 1 2017 Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Zbl 1387.35010 1 2017 Unified gradient flow structure of phase field systems via a generalized principle of virtual powers. Zbl 1365.74140Bonetti, Elena; Rocca, Elisabetta 1 2017 Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in two dimensions. Zbl 1335.49010Frigeri, Sergio; Rocca, Elisabetta; Sprekels, Jürgen 37 2016 Global strong solutions of the full Navier-Stokes and \(Q\)-tensor system for nematic liquid crystal flows in two dimensions. Zbl 1348.35166Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao; Xu, Xiang 14 2016 Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids. Zbl 1360.35175Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio 12 2016 On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. 10 2016 Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 9 2016 A rate-independent gradient system in damage coupled with plasticity via structured strains. Zbl 1366.74009Bonetti, Elena; Rocca, Elisabetta; Rossi, Riccarda; Thomas, Marita 5 2016 Sharp interface control in a Penrose-Fife model. Zbl 1338.49007Colli, Pierluigi; Marinoschi, Gabriela; Rocca, Elisabetta 4 2016 Solvability of an unsaturated porous media flow problem with thermomechanical interaction. Zbl 1364.76218Detmann, Bettina; Krejčí, Pavel; Rocca, Elisabetta 2 2016 On a diffuse interface model of tumour growth. Zbl 1375.92031Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta 40 2015 Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions. Zbl 1322.49006Rocca, E.; Sprekels, J. 28 2015 Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 28 2015 A diffuse interface model for two-phase incompressible flows with non-local interactions and non-constant mobility. Zbl 1320.35257Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta 27 2015 Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy. Zbl 1446.76067Feireisl, Eduard; Schimperna, Giulio; Rocca, Elisabetta; Zarnescu, Arghir 22 2015 “Entropic” solutions to a thermodynamically consistent PDE system for phase transitions and damage. Zbl 1320.35153Rocca, Elisabetta; Rossi, Riccarda 18 2015 On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids. Zbl 1383.76082Schimperna, Giulio; Rocca, Elisabetta; Eleuteri, Michela 15 2015 Analysis and simulations of multifrequency induction hardening. Zbl 1311.35305Hömberg, Dietmar; Petzold, Thomas; Rocca, Elisabetta 4 2015 Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients. Zbl 1381.74039Heinemann, Christian; Rocca, Elisabetta 3 2015 Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential. Zbl 1330.76012Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir 25 2014 A degenerating PDE system for phase transitions and damage. Zbl 1295.35275Rocca, Elisabetta; Rossi, Riccarda 21 2014 On a nonlocal Cahn-Hilliard equation with a reaction term. Zbl 1334.35127Melchionna, Stefano; Rocca, Elisabetta 8 2014 The Penrose-Fife phase-field model. Zbl 1304.35361Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio 6 2014 Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows. Zbl 1282.35087Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao 30 2013 On a 3D isothermal model for nematic liquid crystals accounting for stretching terms. Zbl 1258.35188Cavaterra, Cecilia; Rocca, Elisabetta 11 2013 On the long-time behavior of some mathematical models for nematic liquid crystals. Zbl 1263.35041Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 9 2013 Trajectory attractors for the Sun-Liu model for nematic liquid crystals in 3D. Zbl 1270.35121Frigeri, Sergio; Rocca, Elisabetta 4 2013 Well-posedness of an extended model for water-ice phase transitions. Zbl 1259.82031Krejčí, Pavel; Rocca, Elisabetta 3 2013 A new approach to non-isothermal models for nematic liquid crystals. Zbl 1282.76059Feireisl, Eduard; Frémond, Michel; Rocca, Elisabetta; Schimperna, Giulio 41 2012 On a non-isothermal model for nematic liquid crystals. Zbl 1372.76011Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio 31 2011 A model for resistance welding including phase transitions and Joule heating. Zbl 1237.80017Hömberg, Dietmar; Rocca, Elisabetta 3 2011 A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity. Zbl 1221.35190Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 2 2011 Phase separation in a gravity field. Zbl 1217.80118Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 1 2011 Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 53 2010 A model for shape memory alloys with the possibility of voids. Zbl 1194.80092Frémond, Michel; Rocca, Elisabetta 4 2010 Existence of solutions to a phase transition model with microscopic movements. Zbl 1194.35210Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta 21 2009 A bottle in a freezer. Zbl 1202.80014Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 2 2009 Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials. Zbl 1151.74029Rocca, Elisabetta; Rossi, Riccarda 10 2008 Identification of two memory kernels in a fully hyperbolic phase-field system. Zbl 1160.35072Lorenzi, A.; Rocca, E. 8 2008 Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. Zbl 1177.76018Rocca, Elisabetta; Rossi, Riccarda 7 2008 Solid-liquid phase changes with different densities. Zbl 1157.80385Frémond, Michel; Rocca, Elisabetta 3 2008 Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 23 2007 Non-local temperature-dependent phase-field models for non-isothermal phase transitions. Zbl 1128.80002Krejcí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 11 2007 A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions. Zbl 1141.74011Bonetti, Elena; Frémond, Michel; Rocca, Elisabetta 8 2007 Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007Gilardi, Gianni; Rocca, Elisabetta 8 2007 A nonlocal phase-field model with nonconstant specific heat. Zbl 1129.74035Krejči, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 6 2007 Global existence and long-time behaviour for a singular integro-differential phase-field system. Zbl 1140.45010Bonetti, Elena; Rocca, Elisabetta 5 2007 Weak solutions for the fully hyperbolic phase-field system of conserved type. Zbl 1125.80004Lorenzi, Alfredo; Rocca, Elisabetta 2 2007 Well-posedness of a phase transition model with the possibility of voids. Zbl 1105.80007Frémond, Michel; Rocca, Elisabetta 7 2006 Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken 4 2006 Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007Gilardi, Gianni; Rocca, Elisabetta 4 2006 Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system. Zbl 1116.35028Rocca, Elisabetta; Schimperna, Giulio 1 2006 Direct and inverse problems for a parabolic integro-differential system of Caginalp-type. Zbl 1092.45007Lorenzi, Alfredo; Rocca, Elisabetta; Schimperna, Giulio 1 2005 Universal attractor for some singular phase transition systems. Zbl 1062.82015Rocca, Elisabetta; Schimperna, Giulio 23 2004 On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio 7 2004 Universal attractor for a Penrose-Fife system with special heat flux law. Zbl 1072.35047Schimperna, Giulio; Rocca, Elisabetta 3 2004 Existence and uniqueness for the parabolic conserved phase-field model with memory. Zbl 1091.35102Rocca, Elisabetta 1 2004 The conserved Penrose–Fife system with Fourier heat flux law. Zbl 1036.35076Rocca, Elisabetta; Schimperna, Giulio 2 2003 The conserved Penrose-Fife system with temperature-dependent memory. Zbl 1055.35057Rocca, Elisabetta 1 2003 The conserved Penrose-Fife phase field model with special heat flux laws and memory effects. Zbl 1041.45013Rocca, Elisabetta 4 2002 Some remarks on the conserved Penrose-Fife phase field model with memory effects. Zbl 1060.35051Rocca, E. 1 2002 Asymptotic analysis of a conserved phase-field model with memory for vanishing time relaxation. Zbl 0987.35157Rocca, Elisabetta 2 2000 all cited Publications top 5 cited Publications all top 5 Cited by 448 Authors 54 Rocca, Elisabetta 46 Colli, Pierluigi 31 Gilardi, Gianni 30 Sprekels, Jürgen 26 Schimperna, Giulio 22 Grasselli, Maurizio 22 Tachim Medjo, Theodore 17 Rossi, Riccarda 13 Miranville, Alain M. 13 Scarpa, Luca 13 Signori, Andrea 12 Bonetti, Elena 12 Garcke, Harald 12 Lam, Kei Fong 12 Wu, Hao 10 Frigeri, Sergio 10 Krejčí, Pavel 10 Marinoschi, Gabriela 9 Eleuteri, Michela 9 Gal, Ciprian Gheorghe Sorin 9 Xu, Xiang 8 Giorgini, Andrea 8 Heinemann, Christian 8 Roubíček, Tomáš 8 Segatti, Antonio 7 Lasarzik, Robert 7 Stefanelli, Ulisse 6 Akagi, Goro 6 Cavaterra, Cecilia 6 Ding, Shijin 6 Feireisl, Eduard 6 Kopfová, Jana 6 Kraus, Christiane 6 Liu, Chun 6 Luo, Yi-Long 6 Wu, Bin 6 Zarnescu, Arghir Dani 6 Zhao, Xiaopeng 5 Colturato, Michele 5 Deugoue, Gabriel 5 Ebenbeck, Matthias 5 Frémond, Michel 5 Fritz, Marvin 5 Hieber, Matthias 5 Liu, Chein-Shan 5 Oden, John Tinsley 5 Wohlmuth, Barbara I. 5 You, Bo 4 Biswas, Tania 4 Boldrini, José Luiz 4 Davoli, Elisa 4 Dharmatti, Sheetal 4 Fan, Jishan 4 Huang, Jinrui 4 Ipocoana, Erica 4 Jiang, Ning 4 Kotschote, Matthias 4 Liu, Qiao 4 Ma, Yangjun 4 Mohan, Manil Thankamani 4 Petzeltová, Hana 4 Prüß, Jan Wilhelm 4 Shibata, Yoshihiro 4 Thomas, Marita 4 Tomassetti, Giuseppe 4 Wang, Dehua 4 Wen, Huanyao 4 Zelik, Sergey V. 4 Zhou, Yong 4 Zhu, Changjiang 3 Bonfanti, Giovanna 3 Brzeźniak, Zdzisław 3 Dai, Mimi 3 Della Porta, Francesco 3 Fabrizio, Mauro 3 Freistühler, Heinrich 3 Gong, Huajun 3 Guillén González, Francisco M. 3 Guo, Boling 3 Hintermüller, Michael 3 Hömberg, Dietmar 3 Knopf, Patrik 3 Kurima, Shunsuke 3 Lazzaroni, Giuliano 3 Li, Fang 3 Li, Jinkai 3 Li, Lu 3 Lima, Ernesto A. B. F. 3 Liu, Yuning 3 Melchionna, Stefano 3 Nürnberg, Robert 3 Planas, Gabriela 3 Razafimandimby, Paul André 3 Reali, Alessandro 3 Schonbek, Maria Elena 3 Trussardi, Lara 3 Wu, Siyuan 3 Zatorska, Ewelina 3 Zhang, Rongfang 3 Zhong, Xin ...and 348 more Authors all top 5 Cited in 110 Serials 44 Journal of Differential Equations 25 Journal of Mathematical Analysis and Applications 22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 19 Applied Mathematics and Optimization 19 SIAM Journal on Mathematical Analysis 17 Archive for Rational Mechanics and Analysis 17 Discrete and Continuous Dynamical Systems 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Nonlinear Analysis. Real World Applications 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Discrete and Continuous Dynamical Systems. Series B 10 Communications on Pure and Applied Analysis 10 Discrete and Continuous Dynamical Systems. 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Académie des Sciences, Paris 2 Mathematical Modelling of Natural Phenomena 2 Advances in Nonlinear Analysis 2 Electronic Research Archive 1 Computers and Fluids 1 International Journal of Control 1 Inverse Problems 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Theoretical and Mathematical Physics 1 Applied Mathematics and Computation 1 Automatica 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Scientific Computing 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Potential Analysis 1 Set-Valued Analysis 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Applied Analysis 1 Mathematics and Mechanics of Solids 1 Taiwanese Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Study 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Portugaliae Mathematica. Nova Série 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Multiscale Modeling & Simulation ...and 10 more Serials all top 5 Cited in 26 Fields 433 Partial differential equations (35-XX) 225 Fluid mechanics (76-XX) 84 Mechanics of deformable solids (74-XX) 81 Calculus of variations and optimal control; optimization (49-XX) 68 Classical thermodynamics, heat transfer (80-XX) 56 Biology and other natural sciences (92-XX) 45 Statistical mechanics, structure of matter (82-XX) 39 Numerical analysis (65-XX) 30 Dynamical systems and ergodic theory (37-XX) 21 Integral equations (45-XX) 21 Probability theory and stochastic processes (60-XX) 18 Systems theory; control (93-XX) 14 Operator theory (47-XX) 11 Ordinary differential equations (34-XX) 11 Geophysics (86-XX) 8 Optics, electromagnetic theory (78-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year