Nonlinear transport equations and rescaling methods

DOI10.1080/00411458708204665zbMath0622.76097OpenAlexW2141189791MaRDI QIDQ3760210

H. Zrineh, Marc R. Feix, M. Navet, Eric Fijalkow

Publication date: 1987

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458708204665

zbMATH Keywords

stabilitytransport equationsnonlinear diffusionrescaling methodnonlinear absorptionself similar solutionshomothetie transformationsreturn current terms

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Diffusion (76R50) Transport processes in time-dependent statistical mechanics (82C70)

Cites Work

• Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
• Similarity methods for differential equations
• The asymptotic behaviour of the solution of the filtration equation
• Comportement asymptotique de la solution d'une equation d'evolution semi-lineaire de la chaleur
• Group Transformations and the Nonlinear Heat Diffusion Equation

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