Remarks on the stabilization of large-scale growth in the 2D Kuramoto-Sivashinsky equation

DOI10.1007/s00021-024-00890-3MaRDI QIDQ6617193

Vincent R. Martinez, Adam Larios

Publication date: 10 October 2024

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

regularity criterionglobal regularityLadyzhenskaya-Prodi-Serrin2D Kuramoto-Sivashinsky equationcurl-free Burgers equationlow-mode regularity criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Higher-order parabolic equations (35K25) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for higher-order parabolic systems (35K52)

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