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Chen, Y. and Zhang, P. (2006) The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions. Communications in Partial Differential Equations, 31, 1793-1810.
https://doi.org/10.1080/03605300600858960

has been cited by the following article:

• 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.