Global existence and optimal L-2 decay rate for the strong solutions to the compressible fluid models of Korteweg type
Abstract
In this paper, we consider the compressible Navier-Stokes-Korteweg system that models the motions of the compressible isothermal viscous capillary fluids. We prove the global existence of a strong solution to the compressible Navier-Stokes-Korteweg system when the initial perturbation lips parallel to rho(0) - (rho) over cap parallel to(H2) + parallel to u(0)parallel to(H1) is small. Furthermore, if the L-1 norm of the initial perturbation is finite, we can obtain the optimal L-2 decay rates. (C) 2012 Elsevier Inc. All rights reserved.
Citation
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2012,390():181-187URI
http://dx.doi.org/10.1016/j.jmaa.2012.01.028WOS:000301811200017
https://dspace.xmu.edu.cn/handle/2288/15434