TITLE:
Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows System with Damping
AUTHORS:
Wenfeng Xu
KEYWORDS:
Global Existence, Damping, Optimal Decay Rates, Decomposition
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.11,
November
19,
2018
ABSTRACT: In this paper, we consider the large time behavior
of the strong solutions to the three dimensional compressible viscoelastic
flows with damping. Based on the energy method and spectral analysis, we
analyze the influences of the damping on the global existence and decay rates
of compressible viscoelastic flows under some small assumptions in H3-framework. Compared with
the time decay rates of solutions to the compressible viscoelastic flows in[1], our results imply
that the friction of the damping is stronger than the dissipation effect of the
viscosities.