WELL-POSEDNESS FOR THE COUPLED BBM SYSTEMS

DOI10.11948/2018.890zbMath1453.35147OpenAlexW2921503323MaRDI QIDQ5147931

Hongqiu Chen, Cristina A. Haidau

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.890

zbMATH Keywords

nonlinear dispersive wave equationsregularized long wavecoupled BBM-BBM equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51) Systems of nonlinear integral equations (45G15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (2)

Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations ⋮ On special properties of solutions to the Benjamin-Bona-Mahony equation

Cites Work

• Norm-inflation results for the BBM equation
• Well-posedness for the \(BBM\)-equation in a quarter plane
• Stability of solitary-wave solutions of systems of dispersive equations
• Sharp well-posedness results for the BBM equation
• Well-posedness for regularized nonlinear dispersive wave equations
• Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities
• Model equations for long waves in nonlinear dispersive systems
• Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane

This page was built for publication: WELL-POSEDNESS FOR THE COUPLED BBM SYSTEMS