Local solvability and blowup of the solution of the Rosenau-Bürgers equation with different boundary conditions

DOI10.1007/S11232-013-0109-YzbMath1302.35077OpenAlexW1974163274MaRDI QIDQ461540

J. Herrera, D. Rodríguez-Gómez

Publication date: 13 October 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-013-0109-y

zbMATH Keywords

local solvabilitydifferent boundary conditionsblowup regimenoncontinuable solutionRosenau-Bürgers equationtest-function method

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (4)

Gradient blow-up in generalized Burgers and Boussinesq equations ⋮ Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source ⋮ Blow-up instability in non-linear wave models with distributed parameters ⋮ On nonextendable solutions and blow-ups of solutions of pseudoparabolic equations with coercive and constant-sign nonlinearities: analytical and numerical study

Cites Work

• Blowup of solutions of the three-dimensional Rosenau-Burgers equation
• On the blow-up of solutions of the Benjamin-Bona-Mahony-Burgers and Rosenau-Burgers equations
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves

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