Uniform well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation

DOI10.1016/j.aim.2011.03.017zbMath1234.35072OpenAlexW1965338773MaRDI QIDQ639534

Zihua Guo, Yu-Zhao Wang, Li Zhong Peng, Bao Xiang Wang

Publication date: 22 September 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.03.017

zbMATH Keywords

gauge transform

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (14)

Global well-posedness of partially periodic KP-I equation in the energy space and application ⋮ Uniform local well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation ⋮ Low regularity well-posedness for generalized Benjamin–Ono equations on the circle ⋮ On short-time bilinear Strichartz estimates and applications to the Shrira equation ⋮ Global solutions and stability properties of the 5th order Gardner equation ⋮ The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces ⋮ On the well-posedness of dispersive-dissipative one dimensional equations with non decaying initial data ⋮ Rough solutions of the fifth-order KdV equations ⋮ Low regularity Cauchy problem for the fifth-order modified KdV equations on 𝕋 ⋮ Global Well-Posedness and Limit Behavior for a Higher-Order Benjamin-Ono Equation ⋮ Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle ⋮ Local well-posedness of KP-I initial value problem on torus in the Besov space ⋮ A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space ⋮ Global well-posedness and inviscid limit for the generalized Benjamin–Ono–Burgers equation

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