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@inproceedings{Oh2004StabilityOP, title={Stability of Periodic Solutions of Conservation Laws with Viscosity : Analysis of the Evans Function}, author={M. Oh and Kevin Zumbrun}, year={2004} }

- Published 2004

Nonclassical conservation laws with viscosity arising in multiphase fluid and solid mechanics exhibit a rich variety of traveling-wave phenomena, including homoclinic (pulse-type) and periodic solutions along with the standard heteroclinic (shock, or front-type) solutions. Here, we investigate stability of periodic traveling waves within the abstract Evans function framework established by R.A. Gardner. Our main result is to derive a useful stability index analogous to that developed by Gardner… CONTINUE READING

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