Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen On a Cahn-Hilliard system with source term and thermal memory. (English) Zbl 07792514 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 240, Article ID 113461, 16 p. (2024). MSC: 35K52 35K58 PDFBibTeX XMLCite \textit{P. Colli} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 240, Article ID 113461, 16 p. (2024; Zbl 07792514) 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
Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential. (English) Zbl 1526.49002 Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2305-2325 (2023). MSC: 49J20 49K20 35K55 35K51 49J50 PDFBibTeX XMLCite \textit{P. Colli} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2305--2325 (2023; Zbl 1526.49002) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term. (English) Zbl 1522.35309 Appl. Math. Optim. 88, No. 2, Paper No. 68, 31 p. (2023). MSC: 35K55 35K51 35G61 49J20 49K20 49J50 35Q93 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 88, No. 2, Paper No. 68, 31 p. (2023; Zbl 1522.35309) Full Text: DOI arXiv
Grasselli, Maurizio; Scarpa, Luca; Signori, Andrea On a phase field model for RNA-protein dynamics. (English) Zbl 1512.35151 SIAM J. Math. Anal. 55, No. 1, 405-457 (2023). MSC: 35D30 35K35 35K52 35K59 35K86 92C17 92C50 PDFBibTeX XMLCite \textit{M. Grasselli} et al., SIAM J. Math. Anal. 55, No. 1, 405--457 (2023; Zbl 1512.35151) 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
Frigeri, Sergio; Lam, Kei Fong; Signori, Andrea Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities. (English) Zbl 1504.35128 Eur. J. Appl. Math. 33, No. 2, 267-308 (2022). MSC: 35D30 35K52 35K58 35R30 49J20 92C50 PDFBibTeX XMLCite \textit{S. Frigeri} et al., Eur. J. Appl. Math. 33, No. 2, 267--308 (2022; Zbl 1504.35128) Full Text: DOI arXiv
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen Optimal control problems with sparsity for tumor growth models involving variational inequalities. (English) Zbl 1492.92014 J. Optim. Theory Appl. 194, No. 1, 25-58 (2022). MSC: 92C32 92C17 49J40 49J20 35K57 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Optim. Theory Appl. 194, No. 1, 25--58 (2022; Zbl 1492.92014) Full Text: DOI arXiv
Knopf, Patrik; Signori, Andrea Existence of weak solutions to multiphase Cahn-Hilliard-Darcy and Cahn-Hilliard-Brinkman models for stratified tumor growth with chemotaxis and general source terms. (English) Zbl 1484.35148 Commun. Partial Differ. Equations 47, No. 2, 233-278 (2022). MSC: 35D30 35K35 35K86 76D07 92C17 92C50 PDFBibTeX XMLCite \textit{P. Knopf} and \textit{A. Signori}, Commun. Partial Differ. Equations 47, No. 2, 233--278 (2022; Zbl 1484.35148) 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
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis. (English) Zbl 1473.49053 ESAIM, Control Optim. Calc. Var. 27, Paper No. 73, 46 p. (2021). MSC: 49S05 92C17 92C37 49J20 49K20 49K40 35K57 37N25 PDFBibTeX XMLCite \textit{P. Colli} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 73, 46 p. (2021; Zbl 1473.49053) Full Text: DOI arXiv
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials. (English) Zbl 1486.35392 Appl. Math. Optim. 83, No. 3, 2017-2049 (2021); correction ibid. 84, No. 3, 3569-3570 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q92 49K20 35K58 49K40 92C37 92C50 35B65 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 83, No. 3, 2017--2049 (2021; Zbl 1486.35392) Full Text: DOI arXiv
Signori, Andrea Penalisation of long treatment time and optimal control of a tumour growth model of Cahn-Hilliard type with singular potential. (English) Zbl 1470.35369 Discrete Contin. Dyn. Syst. 41, No. 6, 2519-2542 (2021). MSC: 35Q92 49J20 49K20 35K86 92C50 92C37 92C17 PDFBibTeX XMLCite \textit{A. Signori}, Discrete Contin. Dyn. Syst. 41, No. 6, 2519--2542 (2021; Zbl 1470.35369) Full Text: DOI arXiv
Scarpa, Luca; Signori, Andrea On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport. (English) Zbl 1468.35217 Nonlinearity 34, No. 5, 3199-3250 (2021). MSC: 35Q92 92C17 35K86 35K61 35K57 35D35 35B40 35B65 35A01 35A02 65J99 35R09 PDFBibTeX XMLCite \textit{L. Scarpa} and \textit{A. Signori}, Nonlinearity 34, No. 5, 3199--3250 (2021; Zbl 1468.35217) Full Text: DOI arXiv Link
Knopf, Patrik; Signori, Andrea On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and boundary penalization. (English) Zbl 1465.35286 J. Differ. Equations 280, 236-291 (2021). Reviewer: Joseph Shomberg (Providence) MSC: 35K61 35A01 35A02 35A15 35B40 35B41 45K05 47H05 47J35 80A22 35K35 35K58 PDFBibTeX XMLCite \textit{P. Knopf} and \textit{A. Signori}, J. Differ. Equations 280, 236--291 (2021; Zbl 1465.35286) Full Text: DOI arXiv
Garcke, Harald; Lam, Kei Fong; Signori, Andrea On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects. (English) Zbl 1456.35091 Nonlinear Anal., Real World Appl. 57, Article ID 103192, 28 p. (2021). Reviewer: Joseph Shomberg (Providence) MSC: 35G61 49J20 35Q92 PDFBibTeX XMLCite \textit{H. Garcke} et al., Nonlinear Anal., Real World Appl. 57, Article ID 103192, 28 p. (2021; Zbl 1456.35091) Full Text: DOI arXiv
Signori, Andrea Optimal distributed control of an extended model of tumor growth with logarithmic potential. (English) Zbl 1448.35521 Appl. Math. Optim. 82, No. 2, 517-549 (2020). MSC: 35Q92 35K61 92C37 49J20 49K20 92C50 PDFBibTeX XMLCite \textit{A. Signori}, Appl. Math. Optim. 82, No. 2, 517--549 (2020; Zbl 1448.35521) Full Text: DOI arXiv
Signori, Andrea Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. (English) Zbl 1453.35032 Math. Control Relat. Fields 10, No. 2, 305-331 (2020). Reviewer: Vyacheslav I. Maksimov (Yekaterinburg) MSC: 35B40 35K61 49J20 49K20 35K86 92C50 35Q93 PDFBibTeX XMLCite \textit{A. Signori}, Math. Control Relat. Fields 10, No. 2, 305--331 (2020; Zbl 1453.35032) Full Text: DOI arXiv
Signori, Andrea Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach. (English) Zbl 1431.35079 Evol. Equ. Control Theory 9, No. 1, 193-217 (2020). MSC: 35K61 35Q92 49J20 49K20 35K86 92C50 PDFBibTeX XMLCite \textit{A. Signori}, Evol. Equ. Control Theory 9, No. 1, 193--217 (2020; Zbl 1431.35079) Full Text: DOI arXiv