Decay rates of solutions to the Cauchy problem for dissipative nonlinear evolution equations

DOI10.1016/j.na.2005.12.030zbMath1114.35027OpenAlexW2071215285MaRDI QIDQ866530

Lizhi Ruan, Zhi Yong Zhang

Publication date: 14 February 2007

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.2005.12.030

zbMATH Keywords

energy methoddecay ratesa priori estimatescorrect function

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45)

Related Items (3)

Global decaying solution to dissipative nonlinear evolution equations with ellipticity ⋮ Asymptotic stability of the rarefaction wave for the generalized KdV-Burgers-Kuramoto equation ⋮ Convergence rates of vanishing diffusion limit on nonlinear hyperbolic system with damping and diffusion

Cites Work

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• Stability of the rarefaction wave for the generalized KdV-Burgers equation
• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• Nonlinear stability for dissipative nonlinear evolution equations with ellipticity
• Global smooth solutions to the spatially periodic Cauchy problem for dissipative nonlinear evolution equations
• Asymptotic behavior of solutions for \(p\)-system with relaxation
• Asymptotics of dissipative nonlinear evolution equations with ellipticity: different end states
• Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
• On partial differential equations related to Lorenz system

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