Scattering of small solutions to generalized benjamin-bona-mahony equation in several space dimensions

DOI10.1080/03605309208820902zbMath0796.35142OpenAlexW2027810635MaRDI QIDQ4030408

Waldemar Hebisch, Jacek Dziubański, Piotr Biler

Publication date: 1 April 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820902

zbMATH Keywords

small initial datageneralized Benjamin-Bona-Mahony equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (6)

Nonlinear scattering for some dispersive equations generalizing Benjamin-Bona-Mahony equation ⋮ Extended Decay Properties for Generalized BBM Equation ⋮ Stability and instability of some nonlinear dispersive solitary waves in higher dimension ⋮ Optimal temporal decay estimates for the solution to the multidimensional generalized BBM-Burgers Equations with Dissipative Term ⋮ Dynamics of a 3D Benjamin–Bona–Mahony equations with sublinear operator ⋮ Time decay of solutions for generalized Boussinesq equations in two space dimensions

Cites Work

• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• Dispersion of low-energy waves for the generalized Benjamin-Bona-Mahony equation
• Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions
• On the asymptotic behavior of solutions of generalized Korteweg-de Vries equations
• Nonlinear small data scattering for the generalized Korteweg-de Vries equation
• Commutator estimates and the euler and navier-stokes equations
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

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