Zhao, Xiaopeng A class of three dimensional Cahn-Hilliard equation with nonlinear diffusion. (English) Zbl 1512.35365 J. Differ. Equations 361, 1-39 (2023). MSC: 35K30 35K59 35A01 35B40 PDFBibTeX XMLCite \textit{X. Zhao}, J. Differ. Equations 361, 1--39 (2023; Zbl 1512.35365) Full Text: DOI
Pawłow, Irena; Zajączkowski, Wojciech M. Global regular solvability of a nonuniformly nonlinear sixth order Cahn-Hilliard system. (English) Zbl 1484.35256 Appl. Math. 48, No. 1, 1-35 (2021). MSC: 35K35 35A01 35D35 35K59 35Q56 PDFBibTeX XMLCite \textit{I. Pawłow} and \textit{W. M. Zajączkowski}, Appl. Math. 48, No. 1, 1--35 (2021; Zbl 1484.35256) Full Text: DOI
Zhao, Xiaopeng On the Cauchy problem of a sixth-order Cahn-Hilliard equation arising in oil-water-surfactant mixtures. (English) Zbl 1473.35465 Asymptotic Anal. 122, No. 3-4, 201-224 (2021). MSC: 35Q35 76T06 35B40 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{X. Zhao}, Asymptotic Anal. 122, No. 3--4, 201--224 (2021; Zbl 1473.35465) Full Text: DOI arXiv
Ren, Huilong; Zhuang, Xiaoying; Trung, Nguyen-Thoi; Rabczuk, Timon Nonlocal operator method for the Cahn-Hilliard phase field model. (English) Zbl 1459.35011 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105687, 26 p. (2021). MSC: 35A35 35K35 35K58 65M12 PDFBibTeX XMLCite \textit{H. Ren} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105687, 26 p. (2021; Zbl 1459.35011) Full Text: DOI
Schimperna, Giulio; Wu, Hao On a class of sixth-order Cahn-Hilliard-type equations with logarithmic potential. (English) Zbl 1450.35136 SIAM J. Math. Anal. 52, No. 5, 5155-5195 (2020). MSC: 35K35 35K55 35A01 47H05 35B41 35B65 PDFBibTeX XMLCite \textit{G. Schimperna} and \textit{H. Wu}, SIAM J. Math. Anal. 52, No. 5, 5155--5195 (2020; Zbl 1450.35136) Full Text: DOI arXiv
Duan, Ning; Li, Zhenbang; Liu, Fengnan Weak solutions for a sixth-order phase-field equation with degenerate mobility. (English) Zbl 1439.35100 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1857-1883 (2020). Reviewer: Luca Lussardi (Torino) MSC: 35B45 35B65 35K35 35K55 35K65 PDFBibTeX XMLCite \textit{N. Duan} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1857--1883 (2020; Zbl 1439.35100) Full Text: DOI
Hoppe, Ronald H. W.; Linsenmann, Christopher \(\mathrm{C}^0\)-interior penalty discontinuous Galerkin approximation of a sixth-order Cahn-Hilliard equation modeling microemulsification processes. (English) Zbl 1418.65131 Chetverushkin, B. N. (ed.) et al., Contributions to partial differential equations and applications. Invited papers of the conferences ‘Contributions to partial differential equations’, Université Pierre et Marie Curie, Paris, France, August 31 – September 1, 2015 and ‘Applied and computational mathematics’, University of Houston, Texas, USA, February 26–27, 2016. Cham: Springer. Comput. Methods Appl. Sci. 47, 297-325 (2019). MSC: 65M60 65M15 65L80 65L06 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{C. Linsenmann}, Comput. Methods Appl. Sci. 47, 297--325 (2019; Zbl 1418.65131) 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
Duan, Ning; Zhao, Xiaopeng Global attractor for a class of sixth-order viscous Cahn-Hilliard equation in an unbounded domain. (English) Zbl 1411.35044 J. Dyn. Control Syst. 25, No. 1, 95-108 (2019). MSC: 35B41 35B40 35B65 35K25 PDFBibTeX XMLCite \textit{N. Duan} and \textit{X. Zhao}, J. Dyn. Control Syst. 25, No. 1, 95--108 (2019; Zbl 1411.35044) 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
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
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
Jüngel, Ansgar; Winkler, Michael A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. I: Local existence of solutions. (English) Zbl 1317.35258 Arch. Ration. Mech. Anal. 217, No. 3, 935-973 (2015). MSC: 35Q84 35Q20 82C31 35B44 82C22 35K25 PDFBibTeX XMLCite \textit{A. Jüngel} and \textit{M. Winkler}, Arch. Ration. Mech. Anal. 217, No. 3, 935--973 (2015; Zbl 1317.35258) Full Text: DOI arXiv
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 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
Pawłow, Irena; Zajączkowski, Wojciech M. The global solvability of a sixth order Cahn-Hilliard type equation via the Bäcklund transformation. (English) Zbl 1278.35125 Commun. Pure Appl. Anal. 13, No. 2, 859-880 (2014). MSC: 35K35 58J72 PDFBibTeX XMLCite \textit{I. Pawłow} and \textit{W. M. Zajączkowski}, Commun. Pure Appl. Anal. 13, No. 2, 859--880 (2014; Zbl 1278.35125) Full Text: DOI