Large-time behavior of smooth solutions to a nonuniformly parabolic equation

DOI10.1016/S0898-1221(04)90030-2zbMath1049.35086MaRDI QIDQ1433115

Hui Zhang, Xiao-Hong Wang

Publication date: 15 June 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

decay ratefinite-amplitude sound waves periodic behavior

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Riemann problem for a \(2\times 2\) hyperbolic system with linear damping ⋮ Vanishing viscosity limit for Riemann solutions to a 2 × 2 hyperbolic system with linear damping

Cites Work

• Solutions in the large for certain nonlinear parabolic systems
• Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
• Lectures on nonlinear hyperbolic differential equations
• Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws
• Existence and uniqueness of solutions for a non-uniformly parabolic equation
• Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
• The long time asymptotics of solutions to the generalized Burgers equation
• Asymptotic solutions of model equations in nonlinear acoustics
• A Comparison of Two Viscous Regularizations of the Riemann Problem for Burgers’s Equation
• Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit
• The partial differential equation u_t + uu_x = μ_xx
• Global existence and asymptotic behaviour of the solution of a generalized Burgers equation with viscosity
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