Hernandez, Alvaro; Kowalczyk, Michal Nondegeneracy and the Jacobi fields of rotationally symmetric solutions to the Cahn-Hilliard equation. (Nondegeneracy and the Jacobi fields of rotationally symmetric solutions to the Cahn-Hillard equation.) (English) Zbl 1439.35174 Indiana Univ. Math. J. 68, No. 4, 1048-1087 (2019). MSC: 35J61 35J25 PDF BibTeX XML Cite \textit{A. Hernandez} and \textit{M. Kowalczyk}, Indiana Univ. Math. J. 68, No. 4, 1048--1087 (2019; Zbl 1439.35174) Full Text: DOI
Shklyaev, Sergey; Nepomnyashchy, Alexander Longwave instabilities and patterns in fluids. (English) Zbl 1384.76001 Advances in Mathematical Fluid Mechanics. Basel: Birkhäuser/Springer (ISBN 978-1-4939-7588-4/hbk; 978-1-4939-7590-7/ebook). xvi, 456 p. (2017). Reviewer: Ioan Pop (Cluj-Napoca) MSC: 76-02 76Exx 00A79 PDF BibTeX XML Cite \textit{S. Shklyaev} and \textit{A. Nepomnyashchy}, Longwave instabilities and patterns in fluids. Basel: Birkhäuser/Springer (2017; Zbl 1384.76001) Full Text: DOI
Bianchi, Luigi Amedeo; Blömker, Dirk; Wacker, Philipp Pattern size in Gaussian fields from spinodal decomposition. (English) Zbl 1371.60091 SIAM J. Appl. Math. 77, No. 4, 1292-1319 (2017). MSC: 60G60 60G15 60H15 60H05 PDF BibTeX XML Cite \textit{L. A. Bianchi} et al., SIAM J. Appl. Math. 77, No. 4, 1292--1319 (2017; Zbl 1371.60091) Full Text: DOI arXiv
Cheng, Kelong; Wang, Cheng; Wise, Steven M.; Yue, Xingye A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method. (English) Zbl 1375.65137 J. Sci. Comput. 69, No. 3, 1083-1114 (2016). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M70 35Q35 65M12 65T50 PDF BibTeX XML Cite \textit{K. Cheng} et al., J. Sci. Comput. 69, No. 3, 1083--1114 (2016; Zbl 1375.65137) Full Text: DOI
Vertman, Boris The biharmonic heat operator on edge manifolds and non-linear fourth order equations. (English) Zbl 1342.35128 Manuscr. Math. 149, No. 1-2, 179-203 (2016). Reviewer: Alina Stancu (Montréal) MSC: 35K08 58J35 PDF BibTeX XML Cite \textit{B. Vertman}, Manuscr. Math. 149, No. 1--2, 179--203 (2016; Zbl 1342.35128) Full Text: DOI arXiv
Villain-Guillot, Simon 1D Cahn-Hilliard dynamics: coarsening and interrupted coarsening. (English) Zbl 1315.35218 Machado, José A. Tenreiro (ed.) et al., Discontinuity and complexity in nonlinear physical systems. Selected papers based on the presentations at the 4th international conference on nonlinear science and complexity, NSC, Budapest, Hungary, August 6–11, 2012. Cham: Springer (ISBN 978-3-319-01410-4/hbk; 978-3-319-01411-1/ebook). Nonlinear Systems and Complexity 6, 153-168 (2014). MSC: 35Q82 82B26 35B36 PDF BibTeX XML Cite \textit{S. Villain-Guillot}, Nonlinear Syst. Complex. 6, 153--168 (2014; Zbl 1315.35218) Full Text: DOI
Rowthu, Vijayakrishna; Kumar, B. V. Rathish PDE based image processing theory and computation. (English) Zbl 1291.65064 Nonlinear Stud. 21, No. 2, 219-228 (2014). MSC: 65D18 68U10 94A08 65K10 47J35 PDF BibTeX XML Cite \textit{V. Rowthu} and \textit{B. V. R. Kumar}, Nonlinear Stud. 21, No. 2, 219--228 (2014; Zbl 1291.65064) Full Text: Link
Christlieb, Andrew; Promislov, Keith; Xu, Zhengfu On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method. (English) Zbl 1305.65250 Commun. Math. Sci. 11, No. 2, 345-360 (2013). MSC: 65T50 82C26 65M12 80A22 PDF BibTeX XML Cite \textit{A. Christlieb} et al., Commun. Math. Sci. 11, No. 2, 345--360 (2013; Zbl 1305.65250) Full Text: DOI
Gameiro, Marcio; Lessard, Jean-Philippe Efficient rigorous numerics for higher-dimensional PDEs via one-dimensional estimates. (English) Zbl 1277.65084 SIAM J. Numer. Anal. 51, No. 4, 2063-2087 (2013). MSC: 65M70 65M15 65G30 65T50 35Q35 PDF BibTeX XML Cite \textit{M. Gameiro} and \textit{J.-P. Lessard}, SIAM J. Numer. Anal. 51, No. 4, 2063--2087 (2013; Zbl 1277.65084) Full Text: DOI
Swanson, David Gevrey regularity of certain solutions to the Cahn-Hilliard equation with rough initial data. (English) Zbl 1260.35151 Methods Appl. Anal. 18, No. 4, 417-426 (2011). MSC: 35Q35 35B65 35K35 PDF BibTeX XML Cite \textit{D. Swanson}, Methods Appl. Anal. 18, No. 4, 417--426 (2012; Zbl 1260.35151) Full Text: DOI
Kovács, Mihály; Larsson, Stig; Mesforush, Ali Finite element approximation of the Cahn-Hilliard-Cook equation. (English) Zbl 1248.65012 SIAM J. Numer. Anal. 49, No. 6, 2407-2429 (2011); erratum ibid. 52, No. 5, 2594-2597 (2014). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65C30 65M60 60H15 60H35 35Q35 35R60 65M15 65M12 PDF BibTeX XML Cite \textit{M. Kovács} et al., SIAM J. Numer. Anal. 49, No. 6, 2407--2429 (2011; Zbl 1248.65012) Full Text: DOI
Yaguchi, Takaharu; Matsuo, Takayasu; Sugihara, Masaaki An extension of the discrete variational method to nonuniform grids. (English) Zbl 1190.65128 J. Comput. Phys. 229, No. 11, 4382-4423 (2010). MSC: 65M06 65M50 35Q53 PDF BibTeX XML Cite \textit{T. Yaguchi} et al., J. Comput. Phys. 229, No. 11, 4382--4423 (2010; Zbl 1190.65128) Full Text: DOI
Abels, Helmut On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities. (English) Zbl 1254.76158 Arch. Ration. Mech. Anal. 194, No. 2, 463-506 (2009). MSC: 76T99 35Q30 PDF BibTeX XML Cite \textit{H. Abels}, Arch. Ration. Mech. Anal. 194, No. 2, 463--506 (2009; Zbl 1254.76158) Full Text: DOI
Tonegawa, Yoshihiro Applications of geometric measure theory to two-phase separation problems. (English. Japanese original) Zbl 1207.35004 Sugaku Expo. 21, No. 1, 97-115 (2008); translation from Sūgaku 57, No. 2, 178-196 (2005). MSC: 35-02 35K55 28A75 35B25 53C44 35A15 PDF BibTeX XML
da Silva, Patrícia Nunes; Boldrini, José Luiz Existence and approximate solutions of a model for Ostwald ripening. (English) Zbl 1158.35055 Numer. Funct. Anal. Optim. 29, No. 7-8, 883-904 (2008). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K55 65M60 80A22 PDF BibTeX XML Cite \textit{P. N. da Silva} and \textit{J. L. Boldrini}, Numer. Funct. Anal. Optim. 29, No. 7--8, 883--904 (2008; Zbl 1158.35055) Full Text: DOI
He, Yinnian; Liu, Yunxian; Tang, Tao On large time-stepping methods for the Cahn-Hilliard equation. (English) Zbl 1118.65109 Appl. Numer. Math. 57, No. 5-7, 616-628 (2007). Reviewer: Piotr Matus (Minsk) MSC: 65M70 65M12 35Q53 35R35 PDF BibTeX XML Cite \textit{Y. He} et al., Appl. Numer. Math. 57, No. 5--7, 616--628 (2007; Zbl 1118.65109) Full Text: DOI
Choo, S. M.; Chung, S. K. A conservative nonlinear difference scheme for the viscous Cahn-Hilliard equation. (English) Zbl 1060.65090 J. Appl. Math. Comput. 16, No. 1-2, 53-68 (2004). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M06 65M12 65M15 35Q35 76D07 76M20 PDF BibTeX XML Cite \textit{S. M. Choo} and \textit{S. K. Chung}, J. Appl. Math. Comput. 16, No. 1--2, 53--68 (2004; Zbl 1060.65090) Full Text: DOI
Xin, Jack Self-similarity in deterministic and stochastic dissipative systems. (English) Zbl 1049.35023 Bull. Inst. Math., Acad. Sin. 31, No. 2, 75-94 (2003). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35B05 35K57 35B40 37H10 PDF BibTeX XML Cite \textit{J. Xin}, Bull. Inst. Math., Acad. Sin. 31, No. 2, 75--94 (2003; Zbl 1049.35023)
Miranville, Alain Some models of Cahn-Hilliard equations in nonisotropic media. (English) Zbl 0965.35170 M2AN, Math. Model. Numer. Anal. 34, No. 3, 539-554 (2000). Reviewer: Vladimir Mityushev (Paris) MSC: 35Q72 37L30 35B41 35K90 PDF BibTeX XML Cite \textit{A. Miranville}, M2AN, Math. Model. Numer. Anal. 34, No. 3, 539--554 (2000; Zbl 0965.35170) Full Text: DOI EuDML
Wei, Juncheng; Winter, Matthias Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks. (English) Zbl 0952.35029 Calc. Var. Partial Differ. Equ. 10, No. 3, 249-289 (2000). Reviewer: Mervan Pašić (Zagreb) MSC: 35J40 35B40 35B45 PDF BibTeX XML Cite \textit{J. Wei} and \textit{M. Winter}, Calc. Var. Partial Differ. Equ. 10, No. 3, 249--289 (2000; Zbl 0952.35029) Full Text: DOI
Rodriguez-Bernal, Anibal; Wang, Bixiang Reduction of dimension of approximate inertial manifolds by symmetry. (English) Zbl 0936.35030 Bull. Aust. Math. Soc. 60, No. 2, 319-330 (1999). Reviewer: Ivan Ginchev (Varna) MSC: 35B40 35L25 35K57 35L70 58J70 PDF BibTeX XML Cite \textit{A. Rodriguez-Bernal} and \textit{B. Wang}, Bull. Aust. Math. Soc. 60, No. 2, 319--330 (1999; Zbl 0936.35030) Full Text: DOI