Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Shock-layer bounds for a singularly perturbed equation


Author: Jeffrey S. Scroggs
Journal: Quart. Appl. Math. 53 (1995), 423-431
MSC: Primary 35B25; Secondary 35B40, 35K57, 35L67
DOI: https://doi.org/10.1090/qam/1343460
MathSciNet review: MR1343460
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Abstract | References | Similar Articles | Additional Information

Abstract: The size of the shock-layer governed by a conservation law is studied. The conservation law is a parabolic reaction-convection-diffusion equation with a small parameter multiplying the diffusion term and convex flux. Rigorous upper and lower bounding functions for the solution of the conservation law are established based on maximum-principle arguments. The bounding functions demonstrate that the size of the shock-layer is proportional to the parameter multiplying the diffusion term.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/1343460
Article copyright: © Copyright 1995 American Mathematical Society


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