Global regularity of multi-dimensional Burgers equation with critical dissipation only in one direction

DOI10.4310/DPDE.2023.V20.N4.A4zbMath1526.35104OpenAlexW4388144873MaRDI QIDQ6059126

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Publication date: 2 November 2023

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/dpde.2023.v20.n4.a4

zbMATH Keywords

global regularitycritical dissipationmulti-dimensional Burgers equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53)

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Global well-posedness of the critical Burgers equation in critical Besov spaces

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