Stability of viscous scalar shock fronts in several dimensions

Jonathan Goodman

doi:10.1090/S0002-9947-1989-0978372-9

Stability of viscous scalar shock fronts in several dimensions

Jonathan Goodman

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove nonlinear stability of planar shock front solutions for viscous scalar conservation laws in two or more space dimensions. The proof uses the "integrated equation" and an effective equation for the motion of the front itself. We derive energy estimates that balance terms from the integrated equation with terms from the front motion equation.

Original language	English (US)
Pages (from-to)	683-695
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	311
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1989-0978372-9
State	Published - Feb 1989

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1989-0978372-9

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Stability of viscous scalar shock fronts in several dimensions

Abstract

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