Rocca, Elisabetta; Schimperna, Giulio; Signori, Andrea On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth. (English) Zbl 1502.35044 J. Differ. Equations 343, 530-578 (2023). MSC: 35D30 35K35 35K51 35K86 92C17 92C50 PDFBibTeX XMLCite \textit{E. Rocca} et al., J. Differ. Equations 343, 530--578 (2023; Zbl 1502.35044) Full Text: DOI arXiv
Aspri, Andrea; Beretta, Elena; Cavaterra, Cecilia; Rocca, Elisabetta; Verani, Marco Identification of cavities and inclusions in linear elasticity with a phase-field approach. (English) Zbl 1497.35509 Appl. Math. Optim. 86, No. 3, Paper No. 32, 41 p. (2022). MSC: 35R30 35J57 65N21 74B05 74G75 PDFBibTeX XMLCite \textit{A. Aspri} et al., Appl. Math. Optim. 86, No. 3, Paper No. 32, 41 p. (2022; Zbl 1497.35509) Full Text: DOI arXiv
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen Analysis of a tumor model as a multicomponent deformable porous medium. (English) Zbl 1490.76207 Interfaces Free Bound. 24, No. 2, 235-262 (2022). MSC: 76S05 74N30 PDFBibTeX XMLCite \textit{P. Krejčí} et al., Interfaces Free Bound. 24, No. 2, 235--262 (2022; Zbl 1490.76207) Full Text: DOI arXiv
Giorgini, Andrea; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio On the existence of strong solutions to the Cahn-Hilliard-Darcy system with mass source. (English) Zbl 1482.35071 SIAM J. Math. Anal. 54, No. 1, 737-767 (2022). MSC: 35D35 35K61 35Q35 76D27 PDFBibTeX XMLCite \textit{A. Giorgini} et al., SIAM J. Math. Anal. 54, No. 1, 737--767 (2022; Zbl 1482.35071) Full Text: DOI arXiv
Rocca, Elisabetta; Scarpa, Luca; Signori, Andrea Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis. (English) Zbl 1482.35277 Math. Models Methods Appl. Sci. 31, No. 13, 2643-2694 (2021). MSC: 35R30 35B40 49J50 92B05 92C17 PDFBibTeX XMLCite \textit{E. Rocca} et al., Math. Models Methods Appl. Sci. 31, No. 13, 2643--2694 (2021; Zbl 1482.35277) Full Text: DOI arXiv
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao Long-time dynamics and optimal control of a diffuse interface model for tumor growth. (English) Zbl 1464.35357 Appl. Math. Optim. 83, No. 2, 739-787 (2021). MSC: 35Q92 92C17 92C37 92C50 35K61 49J20 49K20 49N90 35B35 PDFBibTeX XMLCite \textit{C. Cavaterra} et al., Appl. Math. Optim. 83, No. 2, 739--787 (2021; Zbl 1464.35357) Full Text: DOI arXiv Link
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir Weak sequential stability for a nonlinear model of nematic electrolytes. (English) Zbl 1454.35365 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 219-241 (2021). MSC: 35Q60 76D05 35B45 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 219--241 (2021; Zbl 1454.35365) Full Text: DOI
Orrieri, Carlo; Rocca, Elisabetta; Scarpa, Luca Optimal control of stochastic phase-field models related to tumor growth. (English) Zbl 1459.35415 ESAIM, Control Optim. Calc. Var. 26, Paper No. 104, 46 p. (2020). MSC: 35R60 35K55 49J20 78A70 35Q92 PDFBibTeX XMLCite \textit{C. Orrieri} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 104, 46 p. (2020; Zbl 1459.35415) Full Text: DOI arXiv
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio On the long time behavior of a tumor growth model. (English) Zbl 1416.35279 J. Differ. Equations 267, No. 4, 2616-2642 (2019). MSC: 35Q92 35D30 35K57 35B41 37L30 35B40 92C37 PDFBibTeX XMLCite \textit{A. Miranville} et al., J. Differ. Equations 267, No. 4, 2616--2642 (2019; Zbl 1416.35279) Full Text: DOI arXiv
Garcke, Harald; Lam, Kei Fong; Rocca, Elisabetta Optimal control of treatment time in a diffuse interface model of tumor growth. (English) Zbl 1403.35139 Appl. Math. Optim. 78, No. 3, 495-544 (2018). MSC: 35K61 49J20 49K20 92C37 92C50 PDFBibTeX XMLCite \textit{H. Garcke} et al., Appl. Math. Optim. 78, No. 3, 495--544 (2018; Zbl 1403.35139) Full Text: DOI arXiv
Heinemann, Christian; Kraus, Christiane; Rocca, Elisabetta; Rossi, Riccarda A temperature-dependent phase-field model for phase separation and damage. (English) Zbl 1371.35292 Arch. Ration. Mech. Anal. 225, No. 1, 177-247 (2017). Reviewer: Piotr Biler (Wrocław) MSC: 35Q79 80A22 82C26 35D30 74F05 74N10 PDFBibTeX XMLCite \textit{C. Heinemann} et al., Arch. Ration. Mech. Anal. 225, No. 1, 177--247 (2017; Zbl 1371.35292) Full Text: DOI arXiv
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. Analysis of a diffuse interface model of multispecies tumor growth. (English) Zbl 1367.35185 Nonlinearity 30, No. 4, 1639-1658 (2017). MSC: 35Q92 35B25 35D30 35K35 35K57 74G25 78A70 92C17 92C37 76S05 35Q35 PDFBibTeX XMLCite \textit{M. Dai} et al., Nonlinearity 30, No. 4, 1639--1658 (2017; Zbl 1367.35185) Full Text: DOI arXiv
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao Optimal boundary control of a simplified Ericksen-Leslie system for nematic liquid crystal flows in \(2D\). (English) Zbl 1371.35216 Arch. Ration. Mech. Anal. 224, No. 3, 1037-1086 (2017). Reviewer: Vishnu Dutt Sharma (Mumbai) MSC: 35Q35 76A15 82D30 35Q93 35Q56 93C20 35D35 PDFBibTeX XMLCite \textit{C. Cavaterra} et al., Arch. Ration. Mech. Anal. 224, No. 3, 1037--1086 (2017; Zbl 1371.35216) Full Text: DOI arXiv
Eleuteri, Michela; Rocca, Elisabetta; Schimperna, Giulio Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids. (English) Zbl 1360.35175 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1431-1454 (2016). Reviewer: Marin I. Marin (Braşov) MSC: 35Q35 35K25 76D05 35D30 35B45 PDFBibTeX XMLCite \textit{M. Eleuteri} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1431--1454 (2016; Zbl 1360.35175) Full Text: DOI arXiv
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao; Xu, Xiang Global strong solutions of the full Navier-Stokes and \(Q\)-tensor system for nematic liquid crystal flows in two dimensions. (English) Zbl 1348.35166 SIAM J. Math. Anal. 48, No. 2, 1368-1399 (2016). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 35B44 35D35 35K45 76A15 PDFBibTeX XMLCite \textit{C. Cavaterra} et al., SIAM J. Math. Anal. 48, No. 2, 1368--1399 (2016; Zbl 1348.35166) Full Text: DOI arXiv
Frigeri, Sergio; Rocca, Elisabetta; Sprekels, Jürgen Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in two dimensions. (English) Zbl 1335.49010 SIAM J. Control Optim. 54, No. 1, 221-250 (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49J20 49K20 49J50 35Q30 35R09 45K05 76D05 PDFBibTeX XMLCite \textit{S. Frigeri} et al., SIAM J. Control Optim. 54, No. 1, 221--250 (2016; Zbl 1335.49010) Full Text: DOI arXiv Link
Schimperna, Giulio; Rocca, Elisabetta; Eleuteri, Michela On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids. (English) Zbl 1383.76082 Discrete Contin. Dyn. Syst. 35, No. 6, 2497-2522 (2015). MSC: 76D05 35Q35 76Txx PDFBibTeX XMLCite \textit{G. Schimperna} et al., Discrete Contin. Dyn. Syst. 35, No. 6, 2497--2522 (2015; Zbl 1383.76082) Full Text: DOI arXiv
Feireisl, Eduard; Schimperna, Giulio; Rocca, Elisabetta; Zarnescu, Arghir Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy. (English) Zbl 1446.76067 Ann. Mat. Pura Appl. (4) 194, No. 5, 1269-1299 (2015). MSC: 76A15 76D03 35D30 76D05 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Ann. Mat. Pura Appl. (4) 194, No. 5, 1269--1299 (2015; Zbl 1446.76067) Full Text: DOI arXiv
Rocca, Elisabetta; Rossi, Riccarda “Entropic” solutions to a thermodynamically consistent PDE system for phase transitions and damage. (English) Zbl 1320.35153 SIAM J. Math. Anal. 47, No. 4, 2519-2586 (2015). MSC: 35D30 74G25 93C55 82B26 74A45 PDFBibTeX XMLCite \textit{E. Rocca} and \textit{R. Rossi}, SIAM J. Math. Anal. 47, No. 4, 2519--2586 (2015; Zbl 1320.35153) Full Text: DOI arXiv