Gradient blow-up for a fourth-order quasilinear Boussinesq-type equation

DOI10.3934/DCDS.2018170zbMath1403.35058OpenAlexW2806450356WikidataQ129697273 ScholiaQ129697273MaRDI QIDQ1661146

Jonathan D. Evans, Victor A. Galaktionov, Pablo Álvarez-Caudevilla

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018170

zbMATH Keywords

fourth-order quasilinear wave equationselfsimilarity of the second kind

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Nonlinear higher-order PDEs (35G20) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (1)

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source

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