Optimal temporal decay estimates for the solution to the multidimensional generalized BBM-Burgers Equations with Dissipative Term

DOI10.1080/00036810008840837zbMath1026.35094OpenAlexW2074104137WikidataQ58304552 ScholiaQ58304552MaRDI QIDQ2729467

Huijiang Zhao

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840837

zbMATH Keywords

optimal temporal decay estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Incompressible viscous fluids (76D99)

Related Items (7)

Global existence and bounded estimate of solutions of the BBM-Burgers equation ⋮ Existence and analytic regularity of certain solutions for the generalized BBM-Burgers equation in $\mathbb R^n$ ⋮ Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space ⋮ The asymptotic behavior of solutions of an initial boundary value problem for the generalized Benjamin-Bona-Mahony equation ⋮ Large-time behavior for the solution to the generalized Benjamin-Bona-Mahony-Burgers equation with large initial data in the whole-space ⋮ Exponential decay rate of solutions toward traveling waves for the Cauchy problem of generalized Benjamin-Bona-Mahony-Burgers equations ⋮ ON TIME PERIODIC SOLUTIONS TO THE GENERALIZED BBM-BURGERS EQUATION WITH TIME-DEPENDENT PERIODIC EXTERNAL FORCE

Cites Work

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• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
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• Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term
• Decay of solution to parabolic conservation laws
• Scattering of small solutions to generalized benjamin-bona-mahony equation in several space dimensions
• Existence and Uniqueness for Periodic Solutions of the Benjamin–Bona–Mahony Equation
• Decay of solutions of generalized Benjamin-Bona-Mahony equations
• Uniform decay rates for parabolic conservation laws
• Decay of solution of generalized Benjamin—Bona—Mahony—Burgers equations in n-space dimensions
• Model equations for long waves in nonlinear dispersive systems

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