Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation

DOI10.3934/dcdss.2011.4.15zbMath1218.35035OpenAlexW2333799340MaRDI QIDQ630041

Laihan Luo, Jerry L. Bona

Publication date: 16 March 2011

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

Full work available at URL: https://doi.org/10.3934/dcdss.2011.4.15

zbMATH Keywords

decay ratesdissipationHilbert transformdispersionglobal well-posednessFourier transform techniques

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Asymptotic expansions of solutions to PDEs (35C20) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous-inviscid interaction (76D09) Integro-partial differential equations (35R09)

Related Items (4)

The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Long time behavior of solutions for a damped Benjamin-Ono equation ⋮ Decay estimates for solutions of nonlocal semilinear equations

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