An oscillating solution for the porous medium equation

DOI10.1016/0362-546X(86)90135-5zbMath0618.35059OpenAlexW2049292417MaRDI QIDQ4727542

Rouben Rostamian, N. Ghosh

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90135-5

zbMATH Keywords

oscillatory solutionsporous medium equationnonnegative solutionsheat diffusionlarge time behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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• On the uniformization of the solutions of the porous medium equation in \(R^ N\)
• Similar solutions and the asymptotics of filtration equations
• On a class of similarity solutions of the porous media equation
• On a class of similarity solutions of the porous media equation. II
• Regularity properties of flows through porous media: The interface
• The Initial Trace of a Solution of the Porous Medium Equation
• Sur l'allure asymptotique des potentiels de chaleur et de l'intégrale de Fourier-Poisson
• Non-negative solutions of theo porous medium eqation
• Differential equations and convergence almost everywhere in strongly monotone semiflows
• Large time estimates for solutions to the porous medium equation with nonintegrable data via comparison
• On the pointwise behavior of the solutions of the porous medium equation as t approaches zero or infinity
• The Asymptotic Behavior of Gas in an n-Dimensional Porous Medium
• A NEW PROOF OF THE THEOREM ON THE STABILIZATION OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE HEAT EQUATION

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