Asymptotic behaviors of the solution to an initial-boundary value problem for scalar viscous conservation laws

DOI10.1016/S0893-9659(02)00034-4zbMath1043.35085OpenAlexW2007403592MaRDI QIDQ1614114

Tao Pan, Hongxoa Liu

Publication date: 3 September 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(02)00034-4

zbMATH Keywords

initial-boundary value problemone space dimensionfinite intervalasymptotic behaviorsexponential decay ratesweak shock wavesscalar viscous conservation lawsenergy estimates method

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Hyperbolic conservation laws (35L65)

Related Items (2)

Construction of solutions and \(L^{1}\)-error estimates of viscous methods for scalar conservation laws with boundary ⋮ Two-dimension Riemann initial-boundary value problem of scalar conservation laws with curved boundary

Cites Work

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• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Asymptotic behavior for scalar viscous conservation laws with boundary effect
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Propagation of a stationary shock layer in the presence of a boundary
• On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
• Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
• A note on the stability of travelling wave solutions of Burgers’ equation
• Nonlinear stability of shock waves for viscous conservation laws

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