Stability of the Riemann semigroup with respect to the kinetic condition

Authors:
Rinaldo M. Colombo and Andrea Corli

Journal:
Quart. Appl. Math. **62** (2004), 541-551

MSC:
Primary 35L65; Secondary 47H20, 76T99

DOI:
https://doi.org/10.1090/qam/2086045

MathSciNet review:
MR2086045

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Abstract: This note deals with systems of hyperbolic conservation laws that are endowed with a generalized kinetic relation and develop phase transitions. The -Lipschitzean continuous dependence of the solution from the kinetic relation is proved. Preliminarily, we rephrase several results known in the case of standard conservation laws to the case comprising phase boundaries.

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DOI:
https://doi.org/10.1090/qam/2086045

Article copyright:
© Copyright 2004
American Mathematical Society