Sun, Jingwei; Zhang, Hong; Qian, Xu; Song, Songhe A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation. (English) Zbl 07742900 J. Comput. Phys. 492, Article ID 112414, 24 p. (2023). MSC: 65Mxx 35Kxx 35Bxx PDFBibTeX XMLCite \textit{J. Sun} et al., J. Comput. Phys. 492, Article ID 112414, 24 p. (2023; Zbl 07742900) Full Text: DOI
Boulouz, Abed; Bounit, Hamid; Hadd, Said Well-posedness and exponential stability of boundary control systems with dynamic boundary conditions. (English) Zbl 1454.93234 Syst. Control Lett. 147, Article ID 104825, 10 p. (2021). MSC: 93D23 93C20 93C15 93B52 93B70 PDFBibTeX XMLCite \textit{A. Boulouz} et al., Syst. Control Lett. 147, Article ID 104825, 10 p. (2021; Zbl 1454.93234) Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen On a Cahn-Hilliard system with convection and dynamic boundary conditions. (English) Zbl 1406.35163 Ann. Mat. Pura Appl. (4) 197, No. 5, 1445-1475 (2018). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35K61 35K25 76R05 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., Ann. Mat. Pura Appl. (4) 197, No. 5, 1445--1475 (2018; Zbl 1406.35163) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. (English) Zbl 1404.35044 J. Elliptic Parabol. Equ. 4, No. 2, 327-347 (2018). MSC: 35B40 47J20 74N25 35G55 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Elliptic Parabol. Equ. 4, No. 2, 327--347 (2018; Zbl 1404.35044) Full Text: DOI arXiv
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
Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. (English) Zbl 1372.35162 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 158, 32-59 (2017). MSC: 35K61 35K55 35K59 82C26 35B30 PDFBibTeX XMLCite \textit{P. Colli} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 158, 32--59 (2017; Zbl 1372.35162) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. (English) Zbl 1365.35059 SIAM J. Math. Anal. 49, No. 3, 1732-1760 (2017). MSC: 35K52 35K61 35A01 35B40 74A15 PDFBibTeX XMLCite \textit{P. Colli} et al., SIAM J. Math. Anal. 49, No. 3, 1732--1760 (2017; Zbl 1365.35059) Full Text: DOI arXiv
Gorban, Nataliia V.; Khomenko, Olha V.; Paliichuk, Liliia S.; Tkachuk, Alla M. Long-time behavior of state functions for climate energy balance model. (English) Zbl 1364.35142 Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 1887-1897 (2017). MSC: 35K57 37L05 35B41 35B40 PDFBibTeX XMLCite \textit{N. V. Gorban} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 1887--1897 (2017; Zbl 1364.35142) Full Text: DOI
Gorban, Nataliia V.; Gluzman, Mark O.; Kasyanov, Pavlo O.; Tkachuk, Alla M. Long-time behavior of state functions for Badyko models. (English) Zbl 1364.35373 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, 351-359 (2016). MSC: 35Q86 35Q35 35K57 86A10 35B41 35B40 35D30 35B65 PDFBibTeX XMLCite \textit{N. V. Gorban} et al., Stud. Syst. Decis. Control 69, 351--359 (2016; Zbl 1364.35373) Full Text: DOI Link
Gluzman, Mark O.; Gorban, Nataliia V.; Kasyanov, Pavlo O. Lyapunov functions for differential inclusions and applications in physics, biology, and climatology. (English) Zbl 1335.35315 Sadovnichiy, Viktor A. (ed.) et al., Continuous and distributed systems II. Theory and applications. Cham: Springer (ISBN 978-3-319-19074-7/hbk; 978-3-319-19075-4/ebook). Studies in Systems, Decision and Control 30, 233-243 (2015). MSC: 35R70 35B41 35D30 35R20 35Q79 80A25 35Q92 35Q86 PDFBibTeX XMLCite \textit{M. O. Gluzman} et al., Stud. Syst. Decis. Control 30, 233--243 (2015; Zbl 1335.35315) Full Text: DOI
Colli, Pierluigi; Fukao, Takeshi The Allen-Cahn equation with dynamic boundary conditions and mass constraints. (English) Zbl 1334.35165 Math. Methods Appl. Sci. 38, No. 17, 3950-3967 (2015). MSC: 35K86 49J40 80A22 35K57 PDFBibTeX XMLCite \textit{P. Colli} and \textit{T. Fukao}, Math. Methods Appl. Sci. 38, No. 17, 3950--3967 (2015; Zbl 1334.35165) Full Text: DOI arXiv
Degtyarev, Sergey P. On Fourier multipliers in function spaces with partial Hölder condition and their application to the linearized Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 1334.42023 Evol. Equ. Control Theory 4, No. 4, 391-429 (2015). MSC: 42B15 42B37 35G15 35G16 35R35 PDFBibTeX XMLCite \textit{S. P. Degtyarev}, Evol. Equ. Control Theory 4, No. 4, 391--429 (2015; Zbl 1334.42023) Full Text: DOI arXiv
Colli, Pierluigi; Fukao, Takeshi Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials. (English) Zbl 1323.35092 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 413-433 (2015). Reviewer: Mersaid Aripov (Tashkent) MSC: 35K61 35K25 35D30 35D35 80A22 PDFBibTeX XMLCite \textit{P. Colli} and \textit{T. Fukao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 413--433 (2015; Zbl 1323.35092) Full Text: DOI arXiv
Gluzman, Mark O.; Gorban, Nataliia V.; Kasyanov, Pavlo O. Lyapunov functions for weak solutions of reaction-diffusion equations with discontinuous interaction functions and its applications. (English) Zbl 1321.35093 Nonauton. Dyn. Syst. 2, 1-11 (2015). MSC: 35K57 35K58 35B41 35B65 35R05 37L45 PDFBibTeX XMLCite \textit{M. O. Gluzman} et al., Nonauton. Dyn. Syst. 2, 1--11 (2015; Zbl 1321.35093) Full Text: DOI
Colli, Pierluigi; Fukao, Takeshi Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary. (English) Zbl 1327.35149 J. Math. Anal. Appl. 429, No. 2, 1190-1213 (2015). MSC: 35K35 35K86 PDFBibTeX XMLCite \textit{P. Colli} and \textit{T. Fukao}, J. Math. Anal. Appl. 429, No. 2, 1190--1213 (2015; Zbl 1327.35149) Full Text: DOI arXiv
Degtyarev, S. P. Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder’s estimates for a degenerate parabolic problem with dynamic boundary conditions. (English) Zbl 1319.35308 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 2, 185-237 (2015). Reviewer: Vincenzo Vespri (Firenze) MSC: 35R35 35K65 35K60 PDFBibTeX XMLCite \textit{S. P. Degtyarev}, NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 2, 185--237 (2015; Zbl 1319.35308) Full Text: DOI arXiv