The nonlinear wave and diffusion processes in media with a jump change in characteristics depending on the amplitude of the field distribution

DOI10.1016/J.CNSNS.2021.105785zbMath1465.35383OpenAlexW3135150933MaRDI QIDQ2025518

S. E. Savotchenko

Publication date: 14 May 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105785

zbMATH Keywords

Klein-Gordon equationnonlinear diffusionstepwise nonlinearity

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Linear higher-order PDEs (35G05) Second-order quasilinear hyperbolic equations (35L72) Quasilinear parabolic equations (35K59)

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Cites Work

• Explicit solutions to the one-phase Stefan problem with temperature-dependent thermal conductivity and a convective term
• The Stefan problem. Translated from the Russian by Marek Niezgódka and Anna Crowley
• Surface waves in a crystal with switching Kerr nonlinearity
• Localization in the model of contacting media with specific nonlinearity and interface interaction
• Solution of the one-phase inverse Stefan problem by using the homotopy analysis method
• Analytic solution of the Stefan problem in finite mediums
• On a two‐phase Stefan problem with convective boundary condition including a density jump at the free boundary

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