Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation

DOI10.1016/S0252-9602(18)30792-6zbMath1438.35362MaRDI QIDQ2313119

Chong Lai, Rui Li, Yong-Hong Wu

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

global weak solutionweak limitsgeneralized Benjamin-Bona-Mahony-Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Weak solutions to PDEs (35D30)

Cites Work

• Stability of the solitary wave solutions to a coupled BBM system
• Asymptotic behavior of solutions for the time-delayed equations of Benjamin-Bona-Mahony's type
• Local well-posedness of generalized BBM equations with generalized damping on 1D torus
• Exact solutions of Benjamin-Bona-Mahony-Burgers-type nonlinear pseudo-parabolic equations
• The well-posedness of local solutions for a generalized Novikov equation
• The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation
• Long time existence results for bore-type initial data for BBM-Boussinesq systems
• Compact sets in the space \(L^ p(0,T;B)\)
• Global weak solutions for a shallow water equation
• The regularized Benjamin-Ono and BBM equations: well-posedness and nonlinear stability
• Wellposedness for a parabolic-elliptic system
• On the weak solutions to a shallow water equation
• Global weak solutions for a shallow water equation
• Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
• Model equations for long waves in nonlinear dispersive systems

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