A refined asymptotic behavior of traveling wave solutions for degenerate nonlinear parabolic equations

DOI10.14495/jsiaml.12.65zbMath1455.35019arXiv2008.00174OpenAlexW3092026253MaRDI QIDQ5141712

Kaname Matsue, Takashi Okuda, Yu Ichida

Publication date: 18 December 2020

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00174

zbMATH Keywords

Lambert \(W\) functionZbl 07270569Zbl 07270570

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07) Quasilinear parabolic equations (35K59)

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Cites Work

• Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation
• Multiple time scale dynamics
• Applications of centre manifold theory
• On the Lambert \(w\) function
• Traveling wave solutions for degenerate nonlinear parabolic equations
• Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs
• Blowup rate of solutions of a degenerate nonlinear parabolic equation
• Qualitative theory of planar differential systems
• Nonlinear classical diffusion in a contained plasma

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