POROUS MEDIUM FLOW IN A TUBE: TRAVELING WAVES AND KPP BEHAVIOR

DOI10.1142/S0219199707002587zbMath1157.35061OpenAlexW2080056684MaRDI QIDQ5386896

Juan Luis Vazquez

Publication date: 14 May 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199707002587

zbMATH Keywords

solutionslong-time behaviorPorous Medium Equationasymptotic pattern

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65)

Related Items

Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains ⋮ Wavefront solutions of degenerate quasilinear reaction-diffusion systems with mixed quasi-monotonicity ⋮ Cauchy-Dirichlet problems for the porous medium equation ⋮ Convergence in relative error for the porous medium equation in a tube ⋮ Fundamental solution and long time behavior of the porous medium equation in hyperbolic space ⋮ Spreading speeds and traveling waves for abstract monostable evolution systems

Cites Work

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• Propagation of frontal polymerization—crystallization waves
• Thermal avalanche for blowup solutions of semilinear heat equations