Cherfils, Laurence; Miranville, Alain The Caginalp phase field systems with logarithmic nonlinear terms. (English) Zbl 1527.35099 Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2279-2304 (2023). MSC: 35B45 35K51 35K58 PDFBibTeX XMLCite \textit{L. Cherfils} and \textit{A. Miranville}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2279--2304 (2023; Zbl 1527.35099) Full Text: DOI
Berinde, Vasile; Miranville, Alain; Moroşanu, Costicǎ A qualitative analysis of a second-order anisotropic phase-field transition system endowed with a general class of nonlinear dynamic boundary conditions. (English) Zbl 1518.35435 Discrete Contin. Dyn. Syst., Ser. S 16, No. 1, 148-186 (2023). MSC: 35K51 35K59 35K61 PDFBibTeX XMLCite \textit{V. Berinde} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 1, 148--186 (2023; Zbl 1518.35435) Full Text: DOI
Alsayed, Hawraa; Fakih, Hussein; Miranville, Alain; Wehbe, Ali Optimal control of an Allen-Cahn model for tumor growth through supply of cytotoxic drugs. (English) Zbl 1514.92039 Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3481-3515 (2022). MSC: 92C50 35K20 35Q93 49K20 49N90 PDFBibTeX XMLCite \textit{H. Alsayed} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3481--3515 (2022; Zbl 1514.92039) 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
Miranville, Alain An Allen-Cahn equation based on an unconstrained order parameter and its Cahn-Hilliard limit. (English) Zbl 1472.35025 J. Math. Anal. Appl. 504, No. 2, Article ID 125486, 17 p. (2021). MSC: 35B25 35K35 35K58 PDFBibTeX XMLCite \textit{A. Miranville}, J. Math. Anal. Appl. 504, No. 2, Article ID 125486, 17 p. (2021; Zbl 1472.35025) Full Text: DOI
Yang, Xin-Guang; Wang, Rong-Nian; Yan, Xingjie; Miranville, Alain Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains. (English) Zbl 1470.35263 Discrete Contin. Dyn. Syst. 41, No. 7, 3343-3366 (2021). MSC: 35Q30 35B40 35B41 76D03 76D05 35R07 PDFBibTeX XMLCite \textit{X.-G. Yang} et al., Discrete Contin. Dyn. Syst. 41, No. 7, 3343--3366 (2021; Zbl 1470.35263) Full Text: DOI
Miranville, Alain; Wu, Hao Long-time behavior of the Cahn-Hilliard equation with dynamic boundary condition. (English) Zbl 1443.35054 J. Elliptic Parabol. Equ. 6, No. 1, 283-309 (2020). MSC: 35K35 35K60 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{A. Miranville} and \textit{H. Wu}, J. Elliptic Parabol. Equ. 6, No. 1, 283--309 (2020; Zbl 1443.35054) Full Text: DOI
Miranville, Alain; Quintanilla, Ramon; Saoud, Wafa Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature. (English) Zbl 1437.35084 Commun. Pure Appl. Anal. 19, No. 4, 2257-2288 (2020). MSC: 35B40 35B41 35B45 35K35 35K51 PDFBibTeX XMLCite \textit{A. Miranville} et al., Commun. Pure Appl. Anal. 19, No. 4, 2257--2288 (2020; Zbl 1437.35084) Full Text: DOI
Cherfils, Laurence; Miranville, Alain; Peng, Shuiran Higher-order anisotropic models in phase separation. (English) Zbl 1422.35109 Adv. Nonlinear Anal. 8, 278-302 (2019). Reviewer: Andrei Perjan (Chişinău) MSC: 35K55 35J60 PDFBibTeX XMLCite \textit{L. Cherfils} et al., Adv. Nonlinear Anal. 8, 278--302 (2019; Zbl 1422.35109) Full Text: DOI
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
Makki, Ahmad; Miranville, Alain; Sadaka, Georges On the nonconserved Caginalp phase-field system based on the Maxwell-Cattaneo law with two temperatures and logarithmic potentials. (English) Zbl 1409.35109 Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1341-1365 (2019). MSC: 35K55 35B45 35Q79 80M10 35L15 PDFBibTeX XMLCite \textit{A. Makki} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1341--1365 (2019; Zbl 1409.35109) Full Text: DOI
Miranville, Alain; Ntsokongo, A. J. On anisotropic Caginalp phase-field type models with singular nonlinear terms. (English) Zbl 1456.35042 J. Appl. Anal. Comput. 8, No. 3, 655-674 (2018). MSC: 35B41 35G61 35K55 35B45 PDFBibTeX XMLCite \textit{A. Miranville} and \textit{A. J. Ntsokongo}, J. Appl. Anal. Comput. 8, No. 3, 655--674 (2018; Zbl 1456.35042) Full Text: DOI
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
Makki, Ahmad; Miranville, Alain On an anisotropic doubly nonlinear Allen-Cahn equation with singular potentials. (English) Zbl 1516.35108 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 1, 37-55 (2018). MSC: 35B41 35B45 35B65 35K20 35K59 PDFBibTeX XMLCite \textit{A. Makki} and \textit{A. Miranville}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 1, 37--55 (2018; Zbl 1516.35108) Full Text: DOI
Miranville, Alain The Cahn-Hilliard equation and some of its variants. (English) Zbl 1425.35086 AIMS Math. 2, No. 3, 479-544 (2017). MSC: 35K55 35B45 PDFBibTeX XMLCite \textit{A. Miranville}, AIMS Math. 2, No. 3, 479--544 (2017; Zbl 1425.35086) Full Text: DOI
Conti, M.; Gatti, S.; Miranville, A.; Quintanilla, R. On a Caginalp phase-field system with two temperatures and memory. (English) Zbl 1372.35047 Milan J. Math. 85, No. 1, 1-27 (2017). MSC: 35B41 35K55 80A22 35K51 35R09 PDFBibTeX XMLCite \textit{M. Conti} et al., Milan J. Math. 85, No. 1, 1--27 (2017; Zbl 1372.35047) Full Text: DOI Link
Mininni, Rosa Maria; Miranville, Alain; Romanelli, Silvia Higher-order Cahn-Hilliard equations with dynamic boundary conditions. (English) Zbl 1366.35062 J. Math. Anal. Appl. 449, No. 2, 1321-1339 (2017). MSC: 35K35 35B41 35Q79 PDFBibTeX XMLCite \textit{R. M. Mininni} et al., J. Math. Anal. Appl. 449, No. 2, 1321--1339 (2017; Zbl 1366.35062) Full Text: DOI
Cherfils, Laurence; Miranville, Alain; Peng, Shuiran Higher-order Allen-Cahn models with logarithmic nonlinear terms. (English) Zbl 1364.35363 Sadovnichiy, Victor A. (ed.) et al., Advances in dynamical systems and control. Cham: Springer (ISBN 978-3-319-40672-5/hbk; 978-3-319-40673-2/ebook). Studies in Systems, Decision and Control 69, 247-263 (2016). MSC: 35Q79 80A22 35B41 PDFBibTeX XMLCite \textit{L. Cherfils} et al., Stud. Syst. Decis. Control 69, 247--263 (2016; Zbl 1364.35363) Full Text: DOI
Miranville, Alain Higher-order anisotropic Caginalp phase-field systems. (English) Zbl 1362.35052 Mediterr. J. Math. 13, No. 6, 4519-4535 (2016). MSC: 35B41 35B45 35K55 35K51 35K58 PDFBibTeX XMLCite \textit{A. Miranville}, Mediterr. J. Math. 13, No. 6, 4519--4535 (2016; Zbl 1362.35052) Full Text: DOI
Miranville, Alain; Moroşanu, Costică Analysis of an iterative scheme of fractional steps type associated to the nonlinear phase-field equation with non-homogeneous dynamic boundary conditions. (English) Zbl 1353.65094 Discrete Contin. Dyn. Syst., Ser. S 9, No. 2, 537-556 (2016). MSC: 65M12 35K55 80A22 65M15 65M06 35Q35 PDFBibTeX XMLCite \textit{A. Miranville} and \textit{C. Moroşanu}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 2, 537--556 (2016; Zbl 1353.65094) Full Text: DOI
Miranville, Alain; Quintanilla, Ramon A Caginalp phase-field system based on type III heat conduction with two temperatures. (English) Zbl 1338.35233 Q. Appl. Math. 74, No. 2, 375-398 (2016). MSC: 35K55 35J60 80A22 PDFBibTeX XMLCite \textit{A. Miranville} and \textit{R. Quintanilla}, Q. Appl. Math. 74, No. 2, 375--398 (2016; Zbl 1338.35233) Full Text: DOI Link
Miranville, Alain On the phase-field-crystal model with logarithmic nonlinear terms. (English) Zbl 1336.35086 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 1, 145-157 (2016). MSC: 35B45 35K35 35K58 PDFBibTeX XMLCite \textit{A. Miranville}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 1, 145--157 (2016; Zbl 1336.35086) Full Text: DOI
Miranville, Alain Sixth-order Cahn-Hilliard equations with singular nonlinear terms. (English) Zbl 1332.35149 Appl. Anal. 94, No. 10, 2133-2146 (2015). MSC: 35K35 35K55 35A15 PDFBibTeX XMLCite \textit{A. Miranville}, Appl. Anal. 94, No. 10, 2133--2146 (2015; Zbl 1332.35149) Full Text: DOI
Miranville, Alain Sixth-order Cahn-Hilliard systems with dynamic boundary conditions. (English) Zbl 1323.35093 Math. Methods Appl. Sci. 38, No. 6, 1127-1145 (2015). Reviewer: Piotr Biler (Wroclaw) MSC: 35K61 35B41 35K55 PDFBibTeX XMLCite \textit{A. Miranville}, Math. Methods Appl. Sci. 38, No. 6, 1127--1145 (2015; Zbl 1323.35093) Full Text: DOI
Miranville, Alain Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law. (English) Zbl 1304.35123 Commun. Pure Appl. Anal. 13, No. 5, 1971-1987 (2014). MSC: 35B41 35K55 35L15 35K41 PDFBibTeX XMLCite \textit{A. Miranville}, Commun. Pure Appl. Anal. 13, No. 5, 1971--1987 (2014; Zbl 1304.35123) Full Text: DOI
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
Miranville, Alain Asymptotic behavior of a sixth-order Cahn-Hilliard system. (English) Zbl 1286.35047 Cent. Eur. J. Math. 12, No. 1, 141-154 (2014). MSC: 35B41 35K35 35K58 PDFBibTeX XMLCite \textit{A. Miranville}, Cent. Eur. J. Math. 12, No. 1, 141--154 (2014; Zbl 1286.35047) Full Text: DOI
Miranville, Alain A generalized conserved phase-field system based on type III heat conduction. (English) Zbl 1288.35102 Q. Appl. Math. 71, No. 4, 755-771 (2013). Reviewer: Guy Katriel (Haifa) MSC: 35B41 35K55 35J60 35G61 PDFBibTeX XMLCite \textit{A. Miranville}, Q. Appl. Math. 71, No. 4, 755--771 (2013; Zbl 1288.35102) Full Text: DOI
Conti, Monica; Gatti, Stefania; Miranville, Alain Attractors for a Caginalp model with a logarithmic potential and coupled dynamic boundary conditions. (English) Zbl 1282.35080 Anal. Appl., Singap. 11, No. 6, Article ID 1350024, 31 p. (2013). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35B41 35K55 35J60 80A22 35K20 PDFBibTeX XMLCite \textit{M. Conti} et al., Anal. Appl., Singap. 11, No. 6, Article ID 1350024, 31 p. (2013; Zbl 1282.35080) Full Text: DOI
Cherfils, Laurence; Miranville, Alain; Zelik, Sergey The Cahn-Hilliard equation with logarithmic potentials. (English) Zbl 1250.35129 Milan J. Math. 79, No. 2, 561-596 (2011). Reviewer: Athanasios Yannacopoulos (Athens) MSC: 35K67 35K55 35J60 80A22 35B40 35K35 35B41 PDFBibTeX XMLCite \textit{L. Cherfils} et al., Milan J. Math. 79, No. 2, 561--596 (2011; Zbl 1250.35129) Full Text: DOI