Linear stability of shock profiles for a rate-type viscoelastic system with relaxation

Luo, Tao; Serre, Denis

doi:10.1090/qam/1632322

Authors: Tao Luo and Denis Serre
Journal: Quart. Appl. Math. 56 (1998), 569-586
MSC: Primary 35L67; Secondary 35Q72, 73F15
DOI: https://doi.org/10.1090/qam/1632322
MathSciNet review: MR1632322
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Abstract: We investigate the linear stability of a shock profile for a rate-type viscoelastic system with relaxation. The linear stability of shock profiles for a general initial perturbation is proved by introducing new waves through time-asymptotic expansion and using energy estimates.

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