Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows

Xianpeng Hu; Guochun Wu

doi:10.1137/120892350

Author(s)

Xianpeng Hu
Guochun Wu

Detail(s)

Original language	English
Pages (from-to)	2815-2833
Journal / Publication	SIAM Journal on Mathematical Analysis
Volume	45
Issue number	5
Publication status	Published - 2013
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1137/120892350 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84891282104&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(f1779421-e751-41ec-a715-bb76781917b0).html

Abstract

In this paper, we are concerned with the global existence and optimal rates of strong solutions for three-dimensional compressible viscoelastic flows. We prove the global existence of the strong solutions by the standard energy method under the condition that the initial data are close to the constant equilibrium state in H2-framework. If additionally the initial data belong to L1, the optimal convergence rates of the solutions in Lp-norm with 2 = p = 6 and optimal convergence rates of their spatial derivatives in L2-norm are obtained. © 2013 Society for Industrial and Applied Mathematics.

Research Area(s)

Global existence, Hodge decomposition, Optimal decay rates, Viscoelastic flows

Citation Format(s)

[ RIS ] [ BibTeX ]

Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows. / Hu, Xianpeng; Wu, Guochun.
In: SIAM Journal on Mathematical Analysis, Vol. 45, No. 5, 2013, p. 2815-2833.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Hu, X & Wu, G 2013, 'Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows', SIAM Journal on Mathematical Analysis, vol. 45, no. 5, pp. 2815-2833. https://doi.org/10.1137/120892350

Hu, X., & Wu, G. (2013). Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows. SIAM Journal on Mathematical Analysis, 45(5), 2815-2833. https://doi.org/10.1137/120892350

Hu X, Wu G. Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows. SIAM Journal on Mathematical Analysis. 2013;45(5):2815-2833. doi: 10.1137/120892350

Hu, Xianpeng ; Wu, Guochun. / Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows. In: SIAM Journal on Mathematical Analysis. 2013 ; Vol. 45, No. 5. pp. 2815-2833.