Exact self-similar solution of a certain equation of non-linear diffusion with dissipation

DOI10.1016/j.jappmathmech.2014.12.005zbMath1432.35051OpenAlexW2055283570MaRDI QIDQ1789322

Eh. V. Teodorovich

Publication date: 10 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2014.12.005

zbMATH Keywords

exact solutionrenormalization-group methoddissipation of Cahn-Hilliard typeequation of nonlinear diffusion

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Transformations involving diffusion in solids (74N25) Self-similar solutions to PDEs (35C06)

Cites Work

• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Dynamic Scaling of Growing Interfaces
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• The renormalization-group method in problems of mechanics
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