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Optimal temporal decay rates for the compressible viscoelastic flows.

Authors :
Fu, Shengbin
Huang, Wenting
Wang, Weiwei
Source :
Analysis & Applications; Sep2023, Vol. 21 Issue 5, p1365-1389, 25p
Publication Year :
2023

Abstract

For the Cauchy problem of the three-dimensional compressible viscoelastic flows, we establish the optimal temporal decay rates of the all-order spatial derivatives of the global strong solution in the weaker initial condition. The main novelty of this paper is that the optimal decay estimates of the highest-order derivatives of the solution is obtained by using spectral analysis and energy method, which can be considered as the further investigation to [X. Hu and G. Wu, Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows, SIAM J. Math. Anal. 45 (2013) 2815–2833] with only the lower-order derivative estimates. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
CAUCHY problem
COMPRESSIBLE flow

Details

Language :
English
ISSN :
02195305
Volume :
21
Issue :
5
Database :
Complementary Index
Journal :
Analysis & Applications
Publication Type :
Academic Journal
Accession number :
170750499
Full Text :
https://doi.org/10.1142/S0219530523500070