Stability of periodic solutions of conservation laws with viscosity: Analysis of the Evans function

Details Stability of periodic solutions of conservation laws with viscosity: Analysis of the Evans function Stability of periodic solutions of conservation laws with viscosity: Analysis of the Evans function

2002-05-16

arxiv.org/abs/math/0205181v1

Mathematics

Analysis of PDEs

150 pp

Scientific paper

10.1007/s00205-002-0216-7

We establish instability of periodic traveling waves arising in conservation
laws featuring phase transition. The analysis uses the Evans function framework
introduced by R.A. Gardner in the periodic case. The main new tool is a
periodic generalization of the stability index introduced by Gardner and
Zumbrun in the traveling front or pulse case.

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