Optimal convergence rates for the strong solutions to the compressible Navier–Stokes equations with potential force. (April 2017)

• Record Type: Journal Article
• Authors: Wang, Wenjun
• Is Part Of: Nonlinear analysis. Volume 34(2017)
• Page Start: 363
• Page End: 378
• Publication Date: 2017-04
• Subjects: Compressible Navier–Stokes equations -- Potential force -- Global existence -- Optimal convergence rate; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.09.005
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we consider the effect of external force on the large-time behavior of solutions to the Cauchy problem for the three-dimensional full compressible Navier–Stokes equations. We construct the global unique solution near the stationary profile to the system for the small H 2 ( R 3 ) initial data. Moreover, the optimal L p – L 2 ( 1 ≤ p ≤ 2 ) time decay rates of the solution to the system are established via a low frequency and high frequency decomposition.