DECAY OF THE COMPRESSIBLE VISCOELASTIC FLOWS

作者:Wei, Ruiying; Li, Yin*; Yao, Zheng-An
来源:Communications on Pure and Applied Analysis, 2016, 15(5): 1603-1624.
DOI:10.3934/cpaa.2016004

摘要

In this paper we study the time decay rates of the solution to the Cauchy problem for the compressible viscoelastic flows via a refined pure energy method. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained, and the H-S(0 <= s <= 3/2) negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates.