Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta Optimal control of a reaction-diffusion model related to the spread of COVID-19. (English) Zbl 07785848 Anal. Appl., Singap. 22, No. 1, 111-136 (2024). MSC: 35Q92 92D30 35K55 35K57 46N60 49J20 35A01 35A02 PDFBibTeX XMLCite \textit{P. Colli} et al., Anal. Appl., Singap. 22, No. 1, 111--136 (2024; Zbl 07785848) Full Text: DOI arXiv
Gilardi, Gianni; Rocca, Elisabetta; Signori, Andrea Well-posedness and optimal control for a viscous Cahn-Hilliard-Oono system with dynamic boundary conditions. (English) Zbl 07800063 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3573-3605 (2023). MSC: 35K61 35K51 35K55 49J20 49K20 49J50 PDFBibTeX XMLCite \textit{G. Gilardi} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3573--3605 (2023; Zbl 07800063) Full Text: DOI arXiv
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
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term. (English) Zbl 1500.35200 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2135-2172 (2022). MSC: 35K52 35K58 35D35 49J20 49K30 35Q93 PDFBibTeX XMLCite \textit{P. Colli} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2135--2172 (2022; Zbl 1500.35200) 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
Biswas, Tania; Rocca, Elisabetta Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. (English) Zbl 1496.35394 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2455-2469 (2022). Reviewer: Catalin Popa (Iaşi) MSC: 35Q92 92C50 92C37 92C35 35K58 35K51 35B41 37L30 PDFBibTeX XMLCite \textit{T. Biswas} and \textit{E. Rocca}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2455--2469 (2022; Zbl 1496.35394) 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
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta Sliding mode control for a phase field system related to tumor growth. (English) Zbl 1420.35434 Appl. Math. Optim. 79, No. 3, 647-670 (2019). MSC: 35Q92 35K25 35K61 93B52 92C50 97M60 92C37 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 79, No. 3, 647--670 (2019; Zbl 1420.35434) 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
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen Unsaturated deformable porous media flow with thermal phase transition. (English) Zbl 1386.76163 Math. Models Methods Appl. Sci. 27, No. 14, 2675-2710 (2017). MSC: 76S05 82B26 74G25 PDFBibTeX XMLCite \textit{P. Krejčí} et al., Math. Models Methods Appl. Sci. 27, No. 14, 2675--2710 (2017; Zbl 1386.76163) Full Text: DOI arXiv
Rocca, Elisabetta; Scala, Riccardo A rigorous sharp interface limit of a diffuse interface model related to tumor growth. (English) Zbl 1370.92076 J. Nonlinear Sci. 27, No. 3, 847-872 (2017). Reviewer: Andrzej Świerniak (Gliwice) MSC: 92C50 82B24 82B21 49J40 92C17 35K57 35R11 PDFBibTeX XMLCite \textit{E. Rocca} and \textit{R. Scala}, J. Nonlinear Sci. 27, No. 3, 847--872 (2017; Zbl 1370.92076) 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
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. (English) Zbl 1360.35296 Discrete Contin. Dyn. Syst., Ser. S 10, No. 1, 37-54 (2017). Reviewer: Johannes Lankeit (Paderborn) MSC: 35Q92 92C17 35K57 78M35 35B20 65N15 92C50 35R35 PDFBibTeX XMLCite \textit{P. Colli} et al., Discrete Contin. Dyn. Syst., Ser. S 10, No. 1, 37--54 (2017; Zbl 1360.35296) Full Text: DOI arXiv
Bonetti, Elena; Rocca, Elisabetta; Rossi, Riccarda; Thomas, Marita A rate-independent gradient system in damage coupled with plasticity via structured strains. (English. French summary) Zbl 1366.74009 ESAIM, Proc. Surv. 54, 54-69 (2016). MSC: 74C05 74E10 74R05 74R20 49S05 49J40 35K86 PDFBibTeX XMLCite \textit{E. Bonetti} et al., ESAIM, Proc. Surv. 54, 54--69 (2016; Zbl 1366.74009) Full Text: DOI arXiv
Detmann, Bettina; Krejčí, Pavel; Rocca, Elisabetta Solvability of an unsaturated porous media flow problem with thermomechanical interaction. (English) Zbl 1364.76218 SIAM J. Math. Anal. 48, No. 6, 4175-4201 (2016). Reviewer: Vladimir Mityushev (Kraków) MSC: 76S05 35Q35 74F10 74F05 47J40 PDFBibTeX XMLCite \textit{B. Detmann} et al., SIAM J. Math. Anal. 48, No. 6, 4175--4201 (2016; Zbl 1364.76218) Full Text: DOI
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
Rocca, E.; Sprekels, J. Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions. (English) Zbl 1322.49006 SIAM J. Control Optim. 53, No. 3, 1654-1680 (2015). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 49J20 49K20 35R09 45K05 74N99 PDFBibTeX XMLCite \textit{E. Rocca} and \textit{J. Sprekels}, SIAM J. Control Optim. 53, No. 3, 1654--1680 (2015; Zbl 1322.49006) Full Text: DOI arXiv Link
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
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio The Penrose-Fife phase-field model. (English) Zbl 1304.35361 Discrete Contin. Dyn. Syst. 34, No. 10, 4259-4290 (2014). MSC: 35K61 35D30 74H40 80A22 35K51 35K67 PDFBibTeX XMLCite \textit{A. Miranville} et al., Discrete Contin. Dyn. Syst. 34, No. 10, 4259--4290 (2014; Zbl 1304.35361) Full Text: DOI arXiv