Large-time behavior for the solution to the generalized Benjamin-Bona-Mahony-Burgers equation with large initial data in the whole-space

DOI10.1016/J.JMAA.2013.09.033zbMath1308.35255OpenAlexW2004888215MaRDI QIDQ2019046

Dandan Zhang, Weike Wang

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.09.033

zbMATH Keywords

energy methodGreen's functionlarge initial dataoptimal decay estimatesBenjamin-Bona-Mahony-Burgers equationtime-frequency decomposition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (2)

Global existence and bounded estimate of solutions of the BBM-Burgers equation ⋮ A high-order linearized difference scheme preserving dissipation property for the 2D Benjamin-Bona-Mahony-Burgers equation

Cites Work

• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• The decay rates of solutions of generalized Benjamin-Bona-Mahony equations in multi-dimensions
• Higher-order for the multidimensional generalized BBM-Burgers equation: Existence and convergence results
• 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
• Optimal temporal decay estimates for the solution to the multidimensional generalized BBM-Burgers Equations with Dissipative Term
• Existence and convergence of solutions for the generalized BBM-burgers equations with dissipative term 2: the multidimensional case
• Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term
• Higher order for the generalized BBM-burgers equation: existence and convergence results
• The generalized Benjamin-Bona-Mahony equation in n with singular initial data
• Existence and Uniqueness for Periodic Solutions of the Benjamin–Bona–Mahony Equation
• Decay of solutions of generalized Benjamin-Bona-Mahony equations
• Model equations for long waves in nonlinear dispersive systems
• The pointwise estimates of solutions for Euler equations with damping in multi-dimensions

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