Intermediate asymptotics of the porous medium equation with sign changes
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Publication:5954501
zbMath1007.35041MaRDI QIDQ5954501
Mark Bowen, Josephus Hulshof, John R. King
Publication date: 4 February 2002
Published in: Advances in Differential Equations (Search for Journal in Brave)
classificationselfsimilarityinterior extinction of sign changesintermediate asymptotic behaviornonselfsimilaritytail-switch solution
Asymptotic behavior of solutions to PDEs (35B40) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)
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Interface behaviour of the slow diffusion equation with strong absorption: Intermediate-asymptotic properties ⋮ Cauchy-Dirichlet problems for the porous medium equation ⋮ Pressure-dipole solutions of the thin-film equation ⋮ Long-time behavior for the porous medium equation with small initial energy ⋮ Solving a nonlinear variation of the heat equation: self-similar solutions of the second kind and other results
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