The decay rates of solutions of generalized Benjamin-Bona-Mahony equations in multi-dimensions

DOI10.1016/j.na.2007.08.003zbMath1149.35315OpenAlexW1975358070MaRDI QIDQ944789

Bo-ling Guo, Shao-mei Fang

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.003

zbMATH Keywords

energy methodFourier analysisoptimum convergence rates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35)

Related Items (10)

Global existence and bounded estimate of solutions of the BBM-Burgers equation ⋮ Long-time convergence of numerical approximations for 2D GBBM equation ⋮ Existence and analytic regularity of certain solutions for the generalized BBM-Burgers equation in $\mathbb R^n$ ⋮ Global attractor for the initial-boundary value problems for Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover ⋮ Large-time behavior for the solution to the generalized Benjamin-Bona-Mahony-Burgers equation with large initial data in the whole-space ⋮ Global existence and pointwise estimates of solutions to generalized Benjamin-Bona-Mahony equations in multi dimensions ⋮ Global existence and decay rates of solutions of generalized Benjamin-Bona-Mahony equations in multiple dimensions ⋮ Quasi-periodic solutions for the generalized Benjamin-Bona-Mahony equation ⋮ Optimal decay rates of solutions for a multidimensional generalized benjamin-Bona-Mahony equation ⋮ On the regularity of the global attractor for a damped Rosenau equation onR

Cites Work

• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• Initial boundary value problem for one class of system of multidimensional inhomogeneous GBBM equations
• Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions
• Global existence for the Benjamin-Bona-Mahony equation in arbitrary dimensions
• On the Benjamin-Bona-Mahony equation in higher dimensions
• 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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