Esenturk, Emre A phase field approach for direct calculation of interfacial free energy of solid-gas and solid-liquid interfaces in Lennard-Jones systems. (English) Zbl 07767377 Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2339-2353 (2023). MSC: 82D15 35Q82 45J05 82D20 PDFBibTeX XMLCite \textit{E. Esenturk}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2339--2353 (2023; Zbl 07767377) Full Text: DOI
Ntsokongo, Armel Judice; Tathy, Christian Long-time behavior of the higher-order anisotropic Caginalp phase-field systems based on the Cattaneo law. (English) Zbl 1508.35186 Asymptotic Anal. 128, No. 1, 1-30 (2022). MSC: 35Q79 80A22 35B41 35A01 35A02 PDFBibTeX XMLCite \textit{A. J. Ntsokongo} and \textit{C. Tathy}, Asymptotic Anal. 128, No. 1, 1--30 (2022; Zbl 1508.35186) 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
Matano, Hiroshi; Mori, Yoichiro; Nara, Mitsunori Asymptotic behavior of spreading fronts in the anisotropic Allen-Cahn equation on \(\mathbb{R}^n\). (English. French summary) Zbl 1411.35161 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 3, 585-626 (2019). MSC: 35K57 35B40 53C44 PDFBibTeX XMLCite \textit{H. Matano} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 3, 585--626 (2019; Zbl 1411.35161) 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
Jou, D.; Galenko, P. K. Coarse-graining for fast dynamics of order parameters in the phase-field model. (English) Zbl 1404.82026 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2113, Article ID 20170203, 15 p. (2018). MSC: 82B26 PDFBibTeX XMLCite \textit{D. Jou} and \textit{P. K. Galenko}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2113, Article ID 20170203, 15 p. (2018; Zbl 1404.82026) 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
Ntsokongo, Armel Judice On higher-order anisotropic Caginalp phase-field systems with polynomial nonlinear terms. (English) Zbl 1474.35386 J. Appl. Anal. Comput. 7, No. 3, 992-1012 (2017). MSC: 35K55 35B41 35B45 PDFBibTeX XMLCite \textit{A. J. Ntsokongo}, J. Appl. Anal. Comput. 7, No. 3, 992--1012 (2017; Zbl 1474.35386) 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
Judice Ntsokongo, Armel; Moukoko, Daniel; Reval Langa, Franck Davhys; Moukamba, Fidèle On higher-order anisotropic conservative Caginalp phase-field type models. (English) Zbl 1427.35114 AIMS Math. 2, No. 2, 215-229 (2017). MSC: 35K55 80A20 35Q79 PDFBibTeX XMLCite \textit{A. Judice Ntsokongo} et al., AIMS Math. 2, No. 2, 215--229 (2017; Zbl 1427.35114) Full Text: DOI
Caginalp, Gunduz Surface tension, higher order phase field equations, dimensional analysis and Clairaut’s equation. (English) Zbl 1428.35006 AIMS Math. 2, No. 2, 207-214 (2017). MSC: 35A15 35Q74 PDFBibTeX XMLCite \textit{G. Caginalp}, AIMS Math. 2, No. 2, 207--214 (2017; Zbl 1428.35006) Full Text: DOI
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
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela Feedback stabilization of the Cahn-Hilliard type system for phase separation. (English) Zbl 1351.93113 J. Differ. Equations 262, No. 3, 2286-2334 (2017). MSC: 93D15 35K52 35Q79 35Q93 93C20 PDFBibTeX XMLCite \textit{V. Barbu} et al., J. Differ. Equations 262, No. 3, 2286--2334 (2017; Zbl 1351.93113) Full Text: DOI arXiv
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
Chen, Xinfu; Caginalp, Gunduz; Esenturk, Emre Interface conditions for a phase field model with anisotropic and non-local interactions. (English) Zbl 1256.35209 Arch. Ration. Mech. Anal. 202, No. 2, 349-372 (2011). MSC: 35R35 74N20 35Q79 80A22 PDFBibTeX XMLCite \textit{X. Chen} et al., Arch. Ration. Mech. Anal. 202, No. 2, 349--372 (2011; Zbl 1256.35209) Full Text: DOI