## Rocca, Elisabetta

Compute Distance To:
 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)

### 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 1200.76155
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
2010
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
A new approach to non-isothermal models for nematic liquid crystals. Zbl 1282.76059
Feireisl, Eduard; Frémond, Michel; Rocca, Elisabetta; Schimperna, Giulio
2012
On a diffuse interface model of tumour growth. Zbl 1375.92031
Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta
2015
Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in two dimensions. Zbl 1335.49010
Frigeri, Sergio; Rocca, Elisabetta; Sprekels, Jürgen
2016
Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2017
On a non-isothermal model for nematic liquid crystals. Zbl 1372.76011
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio
2011
Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows. Zbl 1282.35087
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao
2013
Optimal control of treatment time in a diffuse interface model of tumor growth. Zbl 1403.35139
Garcke, Harald; Lam, Kei Fong; Rocca, Elisabetta
2018
Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions. Zbl 1322.49006
Rocca, E.; Sprekels, J.
2015
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials. Zbl 1404.35456
Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio
2018
A diffuse interface model for two-phase incompressible flows with non-local interactions and non-constant mobility. Zbl 1320.35257
Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta
2015
Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential. Zbl 1330.76012
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2014
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Universal attractor for some singular phase transition systems. Zbl 1062.82015
Rocca, Elisabetta; Schimperna, Giulio
2004
Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy. Zbl 1446.76067
Feireisl, Eduard; Schimperna, Giulio; Rocca, Elisabetta; Zarnescu, Arghir
2015
A degenerating PDE system for phase transitions and damage. Zbl 1295.35275
Rocca, Elisabetta; Rossi, Riccarda
2014
Existence of solutions to a phase transition model with microscopic movements. Zbl 1194.35210
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta
2009
On the long time behavior of a tumor growth model. Zbl 1416.35279
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio
2019
On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities. Zbl 1382.35311
Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta
2017
“Entropic” solutions to a thermodynamically consistent PDE system for phase transitions and damage. Zbl 1320.35153
Rocca, Elisabetta; Rossi, Riccarda
2015
On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2018
On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids. Zbl 1383.76082
Schimperna, Giulio; Rocca, Elisabetta; Eleuteri, Michela
2015
Global strong solutions of the full Navier-Stokes and $$Q$$-tensor system for nematic liquid crystal flows in two dimensions. Zbl 1348.35166
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao; Xu, Xiang
2016
Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2019
Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids. Zbl 1360.35175
Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio
2016
On a 3D isothermal model for nematic liquid crystals accounting for stretching terms. Zbl 1258.35188
Cavaterra, Cecilia; Rocca, Elisabetta
2013
Non-local temperature-dependent phase-field models for non-isothermal phase transitions. Zbl 1128.80002
Krejcí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials. Zbl 1151.74029
Rocca, Elisabetta; Rossi, Riccarda
2008
On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2016
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
Long-time dynamics and optimal control of a diffuse interface model for tumor growth. Zbl 1464.35357
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao
2021
On the long-time behavior of some mathematical models for nematic liquid crystals. Zbl 1263.35041
Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
2013
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
Identification of two memory kernels in a fully hyperbolic phase-field system. Zbl 1160.35072
Lorenzi, A.; Rocca, E.
2008
A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions. Zbl 1141.74011
Bonetti, Elena; Frémond, Michel; Rocca, Elisabetta
2007
Graded-material design based on phase-field and topology optimization. Zbl 1462.74129
Carraturo, Massimo; Rocca, Elisabetta; Bonetti, Elena; Hömberg, Dietmar; Reali, Alessandro; Auricchio, Ferdinando
2019
On a nonlocal Cahn-Hilliard equation with a reaction term. Zbl 1334.35127
Melchionna, Stefano; Rocca, Elisabetta
2014
Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth. Zbl 1390.35431
Melchionna, Stefano; Rocca, Elisabetta
2017
Optimal boundary control of a simplified Ericksen-Leslie system for nematic liquid crystal flows in $$2D$$. Zbl 1371.35216
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao
2017
Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007
Gilardi, Gianni; Rocca, Elisabetta
2007
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Well-posedness of a phase transition model with the possibility of voids. Zbl 1105.80007
Frémond, Michel; Rocca, Elisabetta
2006
Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. Zbl 1177.76018
Rocca, Elisabetta; Rossi, Riccarda
2008
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
Optimal control of stochastic phase-field models related to tumor growth. Zbl 1459.35415
Orrieri, Carlo; Rocca, Elisabetta; Scarpa, Luca
2020
The Penrose-Fife phase-field model. Zbl 1304.35361
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio
2014
A rigorous sharp interface limit of a diffuse interface model related to tumor growth. Zbl 1370.92076
Rocca, Elisabetta; Scala, Riccardo
2017
A nonlocal phase-field model with nonconstant specific heat. Zbl 1129.74035
Krejči, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040
Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta
2020
A rate-independent gradient system in damage coupled with plasticity via structured strains. Zbl 1366.74009
Bonetti, Elena; Rocca, Elisabetta; Rossi, Riccarda; Thomas, Marita
2016
Global existence and long-time behaviour for a singular integro-differential phase-field system. Zbl 1140.45010
Bonetti, Elena; Rocca, Elisabetta
2007
The conserved Penrose-Fife phase field model with special heat flux laws and memory effects. Zbl 1041.45013
Rocca, Elisabetta
2002
Trajectory attractors for the Sun-Liu model for nematic liquid crystals in 3D. Zbl 1270.35121
Frigeri, Sergio; Rocca, Elisabetta
2013
On the strongly damped wave equation with constraint. Zbl 1387.35418
Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio
2017
Sharp interface control in a Penrose-Fife model. Zbl 1338.49007
Colli, Pierluigi; Marinoschi, Gabriela; Rocca, Elisabetta
2016
A temperature-dependent phase-field model for phase separation and damage. Zbl 1371.35292
Heinemann, Christian; Kraus, Christiane; Rocca, Elisabetta; Rossi, Riccarda
2017
Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323
Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken
2006
Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007
Gilardi, Gianni; Rocca, Elisabetta
2006
A model for shape memory alloys with the possibility of voids. Zbl 1194.80092
Frémond, Michel; Rocca, Elisabetta
2010
Analysis and simulations of multifrequency induction hardening. Zbl 1311.35305
Hömberg, Dietmar; Petzold, Thomas; Rocca, Elisabetta
2015
Periodic waves in unsaturated porous media with hysteresis. Zbl 1402.35219
Detmann, Bettina; Krejcí, Pavel; Rocca, Elisabetta
2018
Well-posedness of an extended model for water-ice phase transitions. Zbl 1259.82031
Krejčí, Pavel; Rocca, Elisabetta
2013
Universal attractor for a Penrose-Fife system with special heat flux law. Zbl 1072.35047
Schimperna, Giulio; Rocca, Elisabetta
2004
Solid-liquid phase changes with different densities. Zbl 1157.80385
Frémond, Michel; Rocca, Elisabetta
2008
A model for resistance welding including phase transitions and Joule heating. Zbl 1237.80017
Hömberg, Dietmar; Rocca, Elisabetta
2011
Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients. Zbl 1381.74039
Heinemann, Christian; Rocca, Elisabetta
2015
A phase-field-based graded-material topology optimization with stress constraint. Zbl 1444.74047
Auricchio, Ferdinando; Bonetti, Elena; Carraturo, Massimo; Hömberg, Dietmar; Reali, Alessandro; Rocca, Elisabetta
2020
Asymptotic analysis of a conserved phase-field model with memory for vanishing time relaxation. Zbl 0987.35157
Rocca, Elisabetta
2000
A bottle in a freezer. Zbl 1202.80014
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2009
Solvability of an unsaturated porous media flow problem with thermomechanical interaction. Zbl 1364.76218
Detmann, Bettina; Krejčí, Pavel; Rocca, Elisabetta
2016
Weak solutions for the fully hyperbolic phase-field system of conserved type. Zbl 1125.80004
Lorenzi, Alfredo; Rocca, Elisabetta
2007
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity. Zbl 1221.35190
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2011
The conserved Penrose–Fife system with Fourier heat flux law. Zbl 1036.35076
Rocca, Elisabetta; Schimperna, Giulio
2003
Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
The conserved Penrose-Fife system with temperature-dependent memory. Zbl 1055.35057
Rocca, Elisabetta
2003
Some remarks on the conserved Penrose-Fife phase field model with memory effects. Zbl 1060.35051
Rocca, E.
2002
Unsaturated deformable porous media flow with thermal phase transition. Zbl 1386.76163
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2017
Erratum and corrigendum to: “Existence of solutions to some models of phase changes with microscopic movements”. Zbl 1430.35118
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta
2019
Direct and inverse problems for a parabolic integro-differential system of Caginalp-type. Zbl 1092.45007
Lorenzi, Alfredo; Rocca, Elisabetta; Schimperna, Giulio
2005
Existence and uniqueness for the parabolic conserved phase-field model with memory. Zbl 1091.35102
Rocca, Elisabetta
2004
Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Zbl 1387.35010
2017
Unified gradient flow structure of phase field systems via a generalized principle of virtual powers. Zbl 1365.74140
Bonetti, Elena; Rocca, Elisabetta
2017
Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system. Zbl 1116.35028
Rocca, Elisabetta; Schimperna, Giulio
2006
Phase separation in a gravity field. Zbl 1217.80118
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2011
Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis. Zbl 1482.35277
Rocca, Elisabetta; Scarpa, Luca; Signori, Andrea
2021
Long-time dynamics and optimal control of a diffuse interface model for tumor growth. Zbl 1464.35357
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao
2021
Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis. Zbl 1482.35277
Rocca, Elisabetta; Scarpa, Luca; Signori, Andrea
2021
Optimal control of stochastic phase-field models related to tumor growth. Zbl 1459.35415
Orrieri, Carlo; Rocca, Elisabetta; Scarpa, Luca
2020
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040
Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta
2020
A phase-field-based graded-material topology optimization with stress constraint. Zbl 1444.74047
Auricchio, Ferdinando; Bonetti, Elena; Carraturo, Massimo; Hömberg, Dietmar; Reali, Alessandro; Rocca, Elisabetta
2020
On the long time behavior of a tumor growth model. Zbl 1416.35279
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio
2019
Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2019
Graded-material design based on phase-field and topology optimization. Zbl 1462.74129
Carraturo, Massimo; Rocca, Elisabetta; Bonetti, Elena; Hömberg, Dietmar; Reali, Alessandro; Auricchio, Ferdinando
2019
Erratum and corrigendum to: “Existence of solutions to some models of phase changes with microscopic movements”. Zbl 1430.35118
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta
2019
Optimal control of treatment time in a diffuse interface model of tumor growth. Zbl 1403.35139
Garcke, Harald; Lam, Kei Fong; Rocca, Elisabetta
2018
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials. Zbl 1404.35456
Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio
2018
On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2018
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Periodic waves in unsaturated porous media with hysteresis. Zbl 1402.35219
Detmann, Bettina; Krejcí, Pavel; Rocca, Elisabetta
2018
Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2017
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities. Zbl 1382.35311
Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta
2017
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth. Zbl 1390.35431
Melchionna, Stefano; Rocca, Elisabetta
2017
Optimal boundary control of a simplified Ericksen-Leslie system for nematic liquid crystal flows in $$2D$$. Zbl 1371.35216
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao
2017
A rigorous sharp interface limit of a diffuse interface model related to tumor growth. Zbl 1370.92076
Rocca, Elisabetta; Scala, Riccardo
2017
On the strongly damped wave equation with constraint. Zbl 1387.35418
Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio
2017
A temperature-dependent phase-field model for phase separation and damage. Zbl 1371.35292
Heinemann, Christian; Kraus, Christiane; Rocca, Elisabetta; Rossi, Riccarda
2017
Unsaturated deformable porous media flow with thermal phase transition. Zbl 1386.76163
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2017
Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Zbl 1387.35010
2017
Unified gradient flow structure of phase field systems via a generalized principle of virtual powers. Zbl 1365.74140
Bonetti, Elena; Rocca, Elisabetta
2017
Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in two dimensions. Zbl 1335.49010
Frigeri, Sergio; Rocca, Elisabetta; Sprekels, Jürgen
2016
Global strong solutions of the full Navier-Stokes and $$Q$$-tensor system for nematic liquid crystal flows in two dimensions. Zbl 1348.35166
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao; Xu, Xiang
2016
Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids. Zbl 1360.35175
Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio
2016
On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2016
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
A rate-independent gradient system in damage coupled with plasticity via structured strains. Zbl 1366.74009
Bonetti, Elena; Rocca, Elisabetta; Rossi, Riccarda; Thomas, Marita
2016
Sharp interface control in a Penrose-Fife model. Zbl 1338.49007
Colli, Pierluigi; Marinoschi, Gabriela; Rocca, Elisabetta
2016
Solvability of an unsaturated porous media flow problem with thermomechanical interaction. Zbl 1364.76218
Detmann, Bettina; Krejčí, Pavel; Rocca, Elisabetta
2016
On a diffuse interface model of tumour growth. Zbl 1375.92031
Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta
2015
Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions. Zbl 1322.49006
Rocca, E.; Sprekels, J.
2015
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
A diffuse interface model for two-phase incompressible flows with non-local interactions and non-constant mobility. Zbl 1320.35257
Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta
2015
Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy. Zbl 1446.76067
Feireisl, Eduard; Schimperna, Giulio; Rocca, Elisabetta; Zarnescu, Arghir
2015
“Entropic” solutions to a thermodynamically consistent PDE system for phase transitions and damage. Zbl 1320.35153
Rocca, Elisabetta; Rossi, Riccarda
2015
On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids. Zbl 1383.76082
Schimperna, Giulio; Rocca, Elisabetta; Eleuteri, Michela
2015
Analysis and simulations of multifrequency induction hardening. Zbl 1311.35305
Hömberg, Dietmar; Petzold, Thomas; Rocca, Elisabetta
2015
Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients. Zbl 1381.74039
Heinemann, Christian; Rocca, Elisabetta
2015
Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential. Zbl 1330.76012
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2014
A degenerating PDE system for phase transitions and damage. Zbl 1295.35275
Rocca, Elisabetta; Rossi, Riccarda
2014
On a nonlocal Cahn-Hilliard equation with a reaction term. Zbl 1334.35127
Melchionna, Stefano; Rocca, Elisabetta
2014
The Penrose-Fife phase-field model. Zbl 1304.35361
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio
2014
Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows. Zbl 1282.35087
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao
2013
On a 3D isothermal model for nematic liquid crystals accounting for stretching terms. Zbl 1258.35188
Cavaterra, Cecilia; Rocca, Elisabetta
2013
On the long-time behavior of some mathematical models for nematic liquid crystals. Zbl 1263.35041
Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
2013
Trajectory attractors for the Sun-Liu model for nematic liquid crystals in 3D. Zbl 1270.35121
Frigeri, Sergio; Rocca, Elisabetta
2013
Well-posedness of an extended model for water-ice phase transitions. Zbl 1259.82031
Krejčí, Pavel; Rocca, Elisabetta
2013
A new approach to non-isothermal models for nematic liquid crystals. Zbl 1282.76059
Feireisl, Eduard; Frémond, Michel; Rocca, Elisabetta; Schimperna, Giulio
2012
On a non-isothermal model for nematic liquid crystals. Zbl 1372.76011
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio
2011
A model for resistance welding including phase transitions and Joule heating. Zbl 1237.80017
Hömberg, Dietmar; Rocca, Elisabetta
2011
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity. Zbl 1221.35190
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2011
Phase separation in a gravity field. Zbl 1217.80118
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2011
Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
2010
A model for shape memory alloys with the possibility of voids. Zbl 1194.80092
Frémond, Michel; Rocca, Elisabetta
2010
Existence of solutions to a phase transition model with microscopic movements. Zbl 1194.35210
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta
2009
A bottle in a freezer. Zbl 1202.80014
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2009
Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials. Zbl 1151.74029
Rocca, Elisabetta; Rossi, Riccarda
2008
Identification of two memory kernels in a fully hyperbolic phase-field system. Zbl 1160.35072
Lorenzi, A.; Rocca, E.
2008
Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. Zbl 1177.76018
Rocca, Elisabetta; Rossi, Riccarda
2008
Solid-liquid phase changes with different densities. Zbl 1157.80385
Frémond, Michel; Rocca, Elisabetta
2008
Nonlinear evolution inclusions arising from phase change models. Zbl 1174.35021
Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Non-local temperature-dependent phase-field models for non-isothermal phase transitions. Zbl 1128.80002
Krejcí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions. Zbl 1141.74011
Bonetti, Elena; Frémond, Michel; Rocca, Elisabetta
2007
Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007
Gilardi, Gianni; Rocca, Elisabetta
2007
A nonlocal phase-field model with nonconstant specific heat. Zbl 1129.74035
Krejči, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
2007
Global existence and long-time behaviour for a singular integro-differential phase-field system. Zbl 1140.45010
Bonetti, Elena; Rocca, Elisabetta
2007
Weak solutions for the fully hyperbolic phase-field system of conserved type. Zbl 1125.80004
Lorenzi, Alfredo; Rocca, Elisabetta
2007
Well-posedness of a phase transition model with the possibility of voids. Zbl 1105.80007
Frémond, Michel; Rocca, Elisabetta
2006
Attractors for a three-dimensional thermo-mechanical model of shape memory alloys. Zbl 1133.35323
Colli, Pierluigi; Frémond, Michel; Rocca, Elisabetta; Shirakawa, Ken
2006
Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007
Gilardi, Gianni; Rocca, Elisabetta
2006
Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system. Zbl 1116.35028
Rocca, Elisabetta; Schimperna, Giulio
2006
Direct and inverse problems for a parabolic integro-differential system of Caginalp-type. Zbl 1092.45007
Lorenzi, Alfredo; Rocca, Elisabetta; Schimperna, Giulio
2005
Universal attractor for some singular phase transition systems. Zbl 1062.82015
Rocca, Elisabetta; Schimperna, Giulio
2004
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
Universal attractor for a Penrose-Fife system with special heat flux law. Zbl 1072.35047
Schimperna, Giulio; Rocca, Elisabetta
2004
Existence and uniqueness for the parabolic conserved phase-field model with memory. Zbl 1091.35102
Rocca, Elisabetta
2004
The conserved Penrose–Fife system with Fourier heat flux law. Zbl 1036.35076
Rocca, Elisabetta; Schimperna, Giulio
2003
The conserved Penrose-Fife system with temperature-dependent memory. Zbl 1055.35057
Rocca, Elisabetta
2003
The conserved Penrose-Fife phase field model with special heat flux laws and memory effects. Zbl 1041.45013
Rocca, Elisabetta
2002
Some remarks on the conserved Penrose-Fife phase field model with memory effects. Zbl 1060.35051
Rocca, E.
2002
Asymptotic analysis of a conserved phase-field model with memory for vanishing time relaxation. Zbl 0987.35157
Rocca, Elisabetta
2000
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. Series S 9 SIAM Journal on Control and Optimization 9 Calculus of Variations and Partial Differential Equations 8 Physica D 8 Journal of Nonlinear Science 7 Mathematical Methods in the Applied Sciences 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Journal of Mathematical Fluid Mechanics 6 Computer Methods in Applied Mechanics and Engineering 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 European Journal of Applied Mathematics 6 Journal of Evolution Equations 5 Nonlinearity 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Asymptotic Analysis 5 Mathematical Control and Related Fields 5 Evolution Equations and Control Theory 4 Computers & Mathematics with Applications 4 Quarterly of Applied Mathematics 4 Applications of Mathematics 4 Communications in Partial Differential Equations 4 Journal of Dynamical and Control Systems 4 Boundary Value Problems 4 AIMS Mathematics 3 Applicable Analysis 3 Journal of Computational and Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 NoDEA. Nonlinear Differential Equations and Applications 3 Stochastics and Dynamics 3 Journal of Hyperbolic Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Science China. Mathematics 3 Journal of Elliptic and Parabolic Equations 2 Journal of Computational Physics 2 Journal of Mathematical Physics 2 Indiana University Mathematics Journal 2 Journal of Optimization Theory and Applications 2 Numerical Functional Analysis and Optimization 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Review 2 Continuum Mechanics and Thermodynamics 2 Journal of Convex Analysis 2 Interfaces and Free Boundaries 2 Communications in Nonlinear Science and Numerical Simulation 2 Comptes Rendus. Mathématique. 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)