Asymptotic behaviors of the solutions to scalar viscous conservation laws on bounded interval

DOI10.1007/s10255-003-0105-3zbMath1052.35125OpenAlexW2057310240MaRDI QIDQ1879137

Tao Pan, Quan-sen Jiu

Publication date: 22 September 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-003-0105-3

zbMATH Keywords

energy estimatesshock wavesrarefaction wavesexponential decay rates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items (1)

Existence and stability of steady compressible Navier-Stokes solutions on a finite interval with noncharacteristic boundary conditions

Cites Work

• 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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