Global existence and asymptotic behaviour of the solution of a generalized Burgers equation with viscosity

DOI10.1016/S0898-1221(00)00302-3zbMath0981.35077WikidataQ127452424 ScholiaQ127452424MaRDI QIDQ5948735

Hui Zhang

Publication date: 12 November 2001

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

zbMATH Keywords

uniquenessglobal existencegeneralized Burger equation with viscosity

Mathematics Subject Classification ID

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

Related Items (4)

Riemann problem for a \(2\times 2\) hyperbolic system with linear damping ⋮ Large-time behavior of smooth solutions to a nonuniformly parabolic equation ⋮ 1-soliton solution of the generalized Burgers equation with generalized evolution ⋮ 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
• 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
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