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On the Mesa problem

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Publication:1094585
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DOI10.1016/0022-247X(87)90331-3zbMath0631.35046MaRDI QIDQ1094585

Avner Friedman, Klaus Höllig

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

asymptotic behaviormesa problemtime-dependent mesaweak star convergence


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Theoretical approximation in context of PDEs (35A35) Free boundary problems for PDEs (35R35)


Related Items (7)

A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators ⋮ Limiting behavior of solutions of \(u_ t=\Delta{} u^ m\;as\;m\rightarrow{} \infty\) ⋮ The Hele-Shaw asymptotics for mechanical models of tumor growth ⋮ Corrections to: ``Limiting behavior of solutions of \(u_ t={\Delta{}}u^ m\) as \(m{\to{}}\infty{}\) ⋮ A singular limit problem for the porous medium equation ⋮ On some nonlinear problems in mathematical physics with exponents close to critical ones ⋮ Boundary layer formation in the transition from the porous media equation to a Hele-Shaw flow.




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