Communications in Mathematical Sciences

Volume 16 (2018)

Number 5

The 3D compressible viscoelastic fluid in a bounded domain

Pages: 1303 – 1323

DOI: https://dx.doi.org/10.4310/CMS.2018.v16.n5.a6

Authors

Qing Chen (School of Applied Mathematics, Xiamen University of Technology, Xiamen, Fujian, China)

Guochun Wu (School of Mathematical Sciences, Huaqiao University, Quanzhou, China)

Abstract

3D compressible viscoelastic fluid in a bounded domain under the condition that the initial data are close to the constant equilibrium state. Based on the standard energy estimate, the estimation of the exponential convergence rates of the strong solution is also obtained.

Keywords

viscoelastic fluid, global existence, bounded domain, exponential convergence rates

2010 Mathematics Subject Classification

35Dxx, 35Q35, 76W05

Received 2 January 2018

Received revised 21 April 2018

Accepted 21 April 2018

Published 19 December 2018