Comparison of quarter-plane and two-point boundary value problems: the BBM-equation

DOI10.3934/dcds.2005.13.921zbMath1088.35057OpenAlexW2320440739MaRDI QIDQ2574735

Bing-Yu Zhang, Hongqiu Chen, Jerry L. Bona, Shu Ming Sun

Publication date: 30 November 2005

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

Full work available at URL: https://doi.org/10.3934/dcds.2005.13.921

zbMATH Keywords

two-point boundary problemcomparison principlesdispersive wave equationquater-plane problem

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (10)

Decay of the energy for the Benjamin-Bona-Mahony equation posed on bounded intervals and on a half-line ⋮ Well-posedness for a higher-order, nonlinear, dispersive equation on a quarter plane ⋮ Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations ⋮ Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equation on the upper half plane ⋮ Well-posedness for the \(BBM\)-equation in a quarter plane ⋮ Bounded domain problem for the modified Buckley-Leverett equation ⋮ An Overview of the Modified Buckley–Leverett Equation ⋮ The KdV Equation on the Half-Line: Time-Periodicity and Mass Transport ⋮ The generalized Buckley-Leverett and the regularized Buckley-Leverett equations ⋮ Homogeneous initial-boundary value problem of the Rosenau equation posed on a finite interval

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