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NONLINEAR STABILITY OF TWO-MODE SHOCK PROFILES FOR A RATE-TYPE VISCOELASTIC SYSTEM WITH RELAXATION

    https://doi.org/10.1142/S0252959999000540Cited by:6 (Source: Crossref)
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    Abstract

    The authors study a 3 × 3 rate-type viscoelastic system, which is a relaxation approximation to a 2 × 2 quasi-linear hyperbolic system, including the well-known p-system. The nonlinear stability of two-mode shock waves in this relaxation approximation is proved.