文摘
This paper is concerned with the large time behavior of strong solutions of the compressible Navier–Stokes equation in the whole space class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16303481&_mathId=si1.gif&_user=111111111&_pii=S0022247X16303481&_rdoc=1&_issn=0022247X&md5=edaf5625ddc378c21d5c8158d235767f" title="Click to view the MathML source">Rn(n≥3)class="mathContainer hidden">class="mathCode"> around the constant state. It was shown by Kawashima, Matsumura and Nishida (1979) and Hoff and Zumbrun (1995) that the perturbation of the constant state is time-asymptotic to a solution of the linearized problem, that is, a first-order asymptotic profile. In this paper a second-order asymptotic profile of the solution, which is caused by the nonlinear effect, is given.