A condition guaranteeing the absence of the blow-up phenomenon for the generalized Burgers equation

DOI10.1016/j.na.2012.04.027zbMath1242.35143OpenAlexW2082117940MaRDI QIDQ435087

Alkis S. Tersenov

Publication date: 16 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.04.027

zbMATH Keywords

boundary value problemsglobal solvabilityA priori estimatesgeneralized Burgers equationnonlinear source

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45)

Related Items (1)

Preventing blow up by convective terms in dissipative PDE's

Cites Work

• A remark on the porous medium equation with nonlinear source
• Blow-up of solutions of semilinear parabolic equations
• Self-similar solutions of a generalized Burgers equation with nonlinear damping.
• On the first boundary value problem for quasilinear parabolic equations with two independent variables
• The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• On the generalized Burgers equation
• Analysis of a Convective Reaction-Diffusion Equation II
• Metastability for a generalized Burgers equation with applications to propagating flame fronts
• Unbounded solutions for conservation laws with source
• Analysis of a convective reaction-diffusion equation
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