Effective estimates of the higher Sobolev norms for the Kuramoto-Sivashinsky equation

zbMath1190.35045arXiv0711.4005MaRDI QIDQ2380960

Milena Stanislavova, Atanas G. Stefanov

Publication date: 12 April 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4005

zbMATH Keywords

Gevrey regularityhigher order regularityhigh-frequency tailsregularized Burger's equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) A priori estimates in context of PDEs (35B45) Semilinear parabolic equations (35K58)

Related Items (3)

On the well-posedness of the anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation ⋮ On the global existence for the Kuramoto-Sivashinsky equation ⋮ Gevrey regularity for a class of dissipative equations with applications to decay

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