TY - JOUR
T1 - Asymptotic profiles for the compressible Navier–Stokes equations in the whole space
AU - Kagei, Yoshiyuki
AU - Okita, Masatoshi
N1 - Funding Information:
The authors would like to thank the referee for his/her valuable comments. Y. Kagei was partly supported by JSPS KAKENHI Grant Numbers 24340028 , 15K13449 , 24224003 , 16H06339 , 16H03947 .
Publisher Copyright:
© 2016 Elsevier Inc.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84981742358&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84981742358&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2016.07.024
DO - 10.1016/j.jmaa.2016.07.024
M3 - Article
AN - SCOPUS:84981742358
SN - 0022-247X
VL - 445
SP - 297
EP - 317
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -