Asymptotic behavior of solution to nonlinear evolution equations with damping

DOI10.1016/j.jmaa.2008.05.103zbMath1149.35359OpenAlexW2093362286MaRDI QIDQ937290

Walter Allegretto, Yan Ping Lin, Zhi Yong Zhang

Publication date: 14 August 2008

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.2008.05.103

zbMATH Keywords

decay rateasymptotic profileconvection-diffusion system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic systems (35K45)

Related Items (4)

Unique solvability and zero diffusion limits of global large solution for a nonlinear hyperbolic system with damping and diffusion ⋮ Global decaying solution to dissipative nonlinear evolution equations with ellipticity ⋮ A note on boundary layer of a nonlinear evolution system with damping and diffusions ⋮ Convergence rates of vanishing diffusion limit on nonlinear hyperbolic system with damping and diffusion

Cites Work

• Unnamed Item
• Nonlinear stability for dissipative nonlinear evolution equations with ellipticity
• Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
• Asymptotic profile of solutions to nonlinear dissipative evolution system with ellipticity
• On partial differential equations related to Lorenz system
• Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
• On hydrodynamic instabilities, chaos and phase transition

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