Preprint Asymptotic profiles for the compressible Navier-Stokes equations on the whole space

Kagei, Yoshiyuki  ,  Okita, Masatoshi

20162016-04-04 , Faculty of Mathematics, Kyushu University
This paper is concerned with large time behavior of the strong solutions of the compressible Navier-Stokes equation in the whole space around the motionless state. It was shown by Kawashima-Matsumura-Nishida (1979) and Hoff-Zumbrun (1995) that the perturbation of the motionless state is time-asymptotic to the solution of the linearized problem. In this paper we will give the second-order asymptotics of strong solutions.

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