Self-similar solutions of the second kind for the modified porous medium equation

DOI10.1017/S0956792500001510zbMath0817.35077OpenAlexW2135138457MaRDI QIDQ4764821

Juan Luis Vazquez, Josephus Hulshof

Publication date: 20 April 1995

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792500001510

zbMATH Keywords

anomalous exponentsself-similarity of the second kindmodified porous medium equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)

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Unnamed Item ⋮ Existence results for nonlinear pseudoparabolic problems ⋮ Blow-up dynamics for the aggregation equation with degenerate diffusion ⋮ The geometric integration of scale-invariant ordinary and partial differential equations ⋮ An asymptotic approach to second-kind similarity solutions of the modified porous-medium equation ⋮ Well-posedness for the coupling of a random heat equation with a multiplicative stochastic Barenblatt equation ⋮ The Neumann problem for a Barenblatt equation with a multiplicative stochastic force and a nonlinear source term ⋮ Global travelling waves in reaction-convection-diffusion equations

Cites Work

• Theory of fluid flows through natural rocks
• The Asymptotic Behavior of Gas in an n-Dimensional Porous Medium