Viscous Shock Motion for Advection‐Diffusion Equations

DOI10.1002/sapm1995952147zbMath0862.35055OpenAlexW2471279290MaRDI QIDQ4857052

Robert E. jun. O'Malley, Jacques G. L. Laforgue

Publication date: 26 November 1995

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

Full work available at URL: https://doi.org/10.1002/sapm1995952147

zbMATH Keywords

small viscosityadvection-diffusion equationthin shock layer

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25)

Related Items (3)

Supersensitivity due to uncertain boundary conditions ⋮ AN INTRODUCTION TO SINGULAR PERTURBATIONS ⋮ Slow travelling waves on a finite interval for Burgers'-type equations

Cites Work

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• Convergence to steady state of solutions of Burgers' equation
• On the motion of viscous shocks and the supersensitivity of their steady- state limits
• On Spurious Solutions of Singular Perturbation Problems
• Eliminating Indeterminacy in Singularly Perturbed Boundary Value Problems with Translation Invariant Potentials
• Domain Decomposition to Solve Transition Layers and Asymptotics
• Shock Layer Movement for Burgers’ equation
• On the exponentially slow motion of a viscous shock
• Behavior of the solutions of the Cauchy problem for certain quasilinear equations for unbounded increase of the time
• A Boundary Value Problem for a Nonlinear Differential Equation with a Small Parameter

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