Some Stability Results for Advection‐Diffusion Equations. II
Previous results on the stability of steady shock layer solutions of scalar reaction‐advection‐diffusion equations are strengthened by means of a more detailed treatment of the perturbation inside the shock. These sharper results verify a recent conjecture of Embid, Goodman, and Majda on the asymptotic stability of a standing shock in a diverging duct, and they suggest that a study of analogous questions for systems of conservation laws with dissipation is possible.
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Document Type: Research Article
Affiliations: University of California, Davis
Publication date: October 1, 1986