Colli, Pierluigi; Fukao, Takeshi Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems. (English) Zbl 1334.35154 J. Differ. Equations 260, No. 9, 6930-6959 (2016). MSC: 35K61 35K25 35B25 35D30 80A22 PDF BibTeX XML Cite \textit{P. Colli} and \textit{T. Fukao}, J. Differ. Equations 260, No. 9, 6930--6959 (2016; Zbl 1334.35154) Full Text: DOI arXiv OpenURL
Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis The Hele-Shaw asymptotics for mechanical models of tumor growth. (English) Zbl 1293.35347 Arch. Ration. Mech. Anal. 212, No. 1, 93-127 (2014). MSC: 35Q92 92C50 76D27 92D25 35B40 PDF BibTeX XML Cite \textit{B. Perthame} et al., Arch. Ration. Mech. Anal. 212, No. 1, 93--127 (2014; Zbl 1293.35347) Full Text: DOI arXiv OpenURL
Igbida, Noureddine From fast to very fast diffusion in the nonlinear heat equation. (English) Zbl 1180.35300 Trans. Am. Math. Soc. 361, No. 10, 5089-5109 (2009). Reviewer: O. Makeev (Ulyanovsk) MSC: 35K61 35K65 35B40 PDF BibTeX XML Cite \textit{N. Igbida}, Trans. Am. Math. Soc. 361, No. 10, 5089--5109 (2009; Zbl 1180.35300) Full Text: DOI OpenURL
Blank, Ivan A.; Korten, Marianne K.; Moore, Charles N. The Hele-Shaw problem as a “Mesa” limit of Stefan problems: existence, uniqueness, and regularity of the free boundary. (English) Zbl 1162.76018 Trans. Am. Math. Soc. 361, No. 3, 1241-1268 (2009). MSC: 76D27 35Q35 35R35 80A22 PDF BibTeX XML Cite \textit{I. A. Blank} et al., Trans. Am. Math. Soc. 361, No. 3, 1241--1268 (2009; Zbl 1162.76018) Full Text: DOI arXiv OpenURL
Andreu, F.; Igbida, N.; Mazón, J. M.; Toledo, J. Renormalized solutions for degenerate elliptic-parabolic problems with nonlinear dynamical boundary conditions and \(L^1\)-data. (English) Zbl 1145.35407 J. Differ. Equations 244, No. 11, 2764-2803 (2008). MSC: 35K65 35K50 35R35 PDF BibTeX XML Cite \textit{F. Andreu} et al., J. Differ. Equations 244, No. 11, 2764--2803 (2008; Zbl 1145.35407) Full Text: DOI OpenURL
Igbida, Noureddine Hele-Shaw type problems with dynamical boundary conditions. (English) Zbl 1127.35023 J. Math. Anal. Appl. 335, No. 2, 1061-1078 (2007). MSC: 35K60 35A05 PDF BibTeX XML Cite \textit{N. Igbida}, J. Math. Anal. Appl. 335, No. 2, 1061--1078 (2007; Zbl 1127.35023) Full Text: DOI OpenURL
Igbida, Noureddine A nonlinear diffusion problem with localized large diffusion. (English) Zbl 1065.35137 Commun. Partial Differ. Equations 29, No. 5-6, 647-670 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K55 35K60 35B05 PDF BibTeX XML Cite \textit{N. Igbida}, Commun. Partial Differ. Equations 29, No. 5--6, 647--670 (2004; Zbl 1065.35137) Full Text: DOI OpenURL
Gil, O.; Quirós, F. Boundary layer formation in the transition from the porous media equation to a Hele-Shaw flow. (Formation de couche limite lors de la transition entre l’équation des milieux poreux et le problème de Hele-Shaw.) (English) Zbl 1030.35107 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 1, 13-36 (2003). Reviewer: Andrey E.Shishkov (Donetsk) MSC: 35K65 35R35 35K60 76S05 76D27 PDF BibTeX XML Cite \textit{O. Gil} and \textit{F. Quirós}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 1, 13--36 (2003; Zbl 1030.35107) Full Text: DOI Numdam EuDML OpenURL