This paper is concerned with the large time behavior of strong solutions of the compressible Navier–Stokes equation in the whole space Rn(n≥3) 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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics