New regularity results for the heat equation and application to non-homogeneous Burgers equation

DOI10.1515/gmj-2022-2174zbMath1503.35052OpenAlexW4286486151MaRDI QIDQ2101290

Yassine Benia, Boubaker-Khaled Sadallah

Publication date: 5 December 2022

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2174

zbMATH Keywords

Burgers equationnonlinear heat equationnon-rectangular domains

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (1)

New regularity results for the heat equation in triangular domains

Cites Work

• The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains
• An existence result for evolution equations in non-cylindrical domains
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• On the Closed‐Form Solutions of the Wave, Diffusion and Burgers Equations in Fluid Mechanics
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