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Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows System with Damping

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Document pages: 22 pages

Abstract: In this paper, we consider the large time behaviorof the strong solutions to the three dimensional compressible viscoelasticflows with damping. Based on the energy method and spectral analysis, weanalyze the influences of the damping on the global existence and decay ratesof compressible viscoelastic flows under some small assumptions in H3-framework. Compared withthe time decay rates of solutions to the compressible viscoelastic flows in [1], our results implythat the friction of the damping is stronger than the dissipation effect of theviscosities.

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