Gal, C. G.; Grasselli, M.; Poiatti, A.; Shomberg, J. L. Multi-component Cahn-Hilliard systems with singular potentials: theoretical results. (English) Zbl 1522.35071 Appl. Math. Optim. 88, No. 3, Paper No. 73, 46 p. (2023). MSC: 35B40 35K35 35K58 PDFBibTeX XMLCite \textit{C. G. Gal} et al., Appl. Math. Optim. 88, No. 3, Paper No. 73, 46 p. (2023; Zbl 1522.35071) Full Text: DOI
El Khatib, Nader; Makki, Ahmad; Petcu, Madalina A splitting method for the Allen-Cahn/Cahn-Hilliard system coupled with heat equation based on Maxwell-Cattaneo law. (English) Zbl 07680340 Appl. Math. Optim. 88, No. 1, Paper No. 17, 31 p. (2023). MSC: 65M60 65N30 65M12 65M15 80A10 80A22 35B40 35Q79 PDFBibTeX XMLCite \textit{N. El Khatib} et al., Appl. Math. Optim. 88, No. 1, Paper No. 17, 31 p. (2023; Zbl 07680340) Full Text: DOI
Zhao, Xiaopeng Optimal distributed control of two-dimensional Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential. (English) Zbl 1520.76109 Appl. Math. Optim. 88, No. 1, Paper No. 2, 37 p. (2023). MSC: 76Z05 76D55 76T06 76D05 92C17 PDFBibTeX XMLCite \textit{X. Zhao}, Appl. Math. Optim. 88, No. 1, Paper No. 2, 37 p. (2023; Zbl 1520.76109) Full Text: DOI
Bonfoh, Ahmed Existence and continuity of inertial manifolds for the hyperbolic relaxation of the viscous Cahn-Hilliard equation. (English) Zbl 1475.35021 Appl. Math. Optim. 84, No. 3, 3339-3416 (2021). MSC: 35B25 35B41 35B42 35B45 35L35 35L76 82C26 PDFBibTeX XMLCite \textit{A. Bonfoh}, Appl. Math. Optim. 84, No. 3, 3339--3416 (2021; Zbl 1475.35021) Full Text: DOI
Li, Lu; Miranville, Alain; Guillevin, Rémy Cahn-Hilliard models for glial cells. (English) Zbl 1475.35176 Appl. Math. Optim. 84, No. 2, 1821-1842 (2021). MSC: 35K35 35K58 35B45 35Q92 PDFBibTeX XMLCite \textit{L. Li} et al., Appl. Math. Optim. 84, No. 2, 1821--1842 (2021; Zbl 1475.35176) Full Text: DOI
Makki, Ahmad; Miranville, Alain; Sadaka, Georges On the conserved Caginalp phase-field system with logarithmic potentials based on the Maxwell-Cattaneo law with two temperatures. (English) Zbl 1475.35089 Appl. Math. Optim. 84, No. 2, 1285-1316 (2021). MSC: 35B45 35K55 35L15 PDFBibTeX XMLCite \textit{A. Makki} et al., Appl. Math. Optim. 84, No. 2, 1285--1316 (2021; Zbl 1475.35089) Full Text: DOI
Scarpa, Luca The stochastic viscous Cahn-Hilliard equation: well-posedness, regularity and vanishing viscosity limit. (English) Zbl 1470.35452 Appl. Math. Optim. 84, No. 1, 487-533 (2021). MSC: 35R60 35B25 35K35 60H15 80A22 PDFBibTeX XMLCite \textit{L. Scarpa}, Appl. Math. Optim. 84, No. 1, 487--533 (2021; Zbl 1470.35452) Full Text: DOI arXiv
Miranville, Alain; Moroşanu, Costică A qualitative analysis of a nonlinear second-order anisotropic diffusion problem with non-homogeneous Cauchy-Stefan-Boltzmann boundary conditions. (English) Zbl 1470.35199 Appl. Math. Optim. 84, No. 1, 227-244 (2021). MSC: 35K59 35K20 35K61 35B45 35B65 PDFBibTeX XMLCite \textit{A. Miranville} and \textit{C. Moroşanu}, Appl. Math. Optim. 84, No. 1, 227--244 (2021; Zbl 1470.35199) Full Text: DOI
Qin, Yuming; Wang, Xiuqing Upper semicontinuity of trajectory attractors for 3D incompressible Navier-Stokes equation. (English) Zbl 1476.35178 Appl. Math. Optim. 84, No. 1, 1-18 (2021). MSC: 35Q30 35Q35 35M13 76D05 35B41 35A01 35B20 PDFBibTeX XMLCite \textit{Y. Qin} and \textit{X. Wang}, Appl. Math. Optim. 84, No. 1, 1--18 (2021; Zbl 1476.35178) Full Text: DOI
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
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
Sprekels, Jürgen; Wu, Hao Optimal distributed control of a Cahn-Hilliard-Darcy system with mass sources. (English) Zbl 1462.35147 Appl. Math. Optim. 83, No. 1, 489-530 (2021). MSC: 35G25 49J20 49K20 49J50 PDFBibTeX XMLCite \textit{J. Sprekels} and \textit{H. Wu}, Appl. Math. Optim. 83, No. 1, 489--530 (2021; Zbl 1462.35147) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Optimal distributed control of a generalized fractional Cahn-Hilliard system. (English) Zbl 1447.35181 Appl. Math. Optim. 82, No. 2, 551-589 (2020). MSC: 35K45 35K90 49K20 49K27 35R11 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 82, No. 2, 551--589 (2020; Zbl 1447.35181) 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
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
Colturato, Michele On a class of conserved phase field systems with a maximal monotone perturbation. (English) Zbl 1403.35138 Appl. Math. Optim. 78, No. 3, 545-585 (2018). MSC: 35K61 35K25 35D30 80A22 PDFBibTeX XMLCite \textit{M. Colturato}, Appl. Math. Optim. 78, No. 3, 545--585 (2018; Zbl 1403.35138) 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
Miranville, Alain On higher-order anisotropic conservative Caginalp phase-field systems. (English) Zbl 1388.35089 Appl. Math. Optim. 77, No. 2, 297-314 (2018). MSC: 35K55 35B41 35B45 PDFBibTeX XMLCite \textit{A. Miranville}, Appl. Math. Optim. 77, No. 2, 297--314 (2018; Zbl 1388.35089) Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 1338.35227 Appl. Math. Optim. 73, No. 2, 195-225 (2016). MSC: 35K55 82C26 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 73, No. 2, 195--225 (2016; Zbl 1338.35227) Full Text: DOI arXiv
Araruna, F. D.; Boldrini, J. L.; Calsavara, B. M. R. Optimal control and controllability of a phase field system with one control force. (English) Zbl 1302.82036 Appl. Math. Optim. 70, No. 3, 539-563 (2014). MSC: 82B26 49J20 93B05 PDFBibTeX XMLCite \textit{F. D. Araruna} et al., Appl. Math. Optim. 70, No. 3, 539--563 (2014; Zbl 1302.82036) Full Text: DOI
Zhao, Xiaopeng; Liu, Changchun Optimal control for the convective Cahn-Hilliard equation in 2D case. (English) Zbl 1298.49013 Appl. Math. Optim. 70, No. 1, 61-82 (2014). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49J20 49K20 35K55 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{C. Liu}, Appl. Math. Optim. 70, No. 1, 61--82 (2014; Zbl 1298.49013) Full Text: DOI