Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 55, Number 3 (2003), 797-826.
On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance
We consider a compressible viscous fluid effected by general form external force in . In part 1, an analysis of the linearized problem based on the weighted- method implies a condition on the external force for the existence and some regularities of the steady flow. In part 2, we study the stability of the steady flow with respect to the initial disturbance. What we proved is: if -norm of the initial disturbance is small enough, then the solution to the non-stationary problem exists uniquely and globally in time.
J. Math. Soc. Japan, Volume 55, Number 3 (2003), 797-826.
First available in Project Euclid: 3 October 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 76N10: Existence, uniqueness, and regularity theory [See also 35L60, 35L65, 35Q30]
Secondary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 34D99: None of the above, but in this section
SHIBATA, Yoshihiro; TANAKA, Koumei. On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance. J. Math. Soc. Japan 55 (2003), no. 3, 797--826. doi:10.2969/jmsj/1191419003. https://projecteuclid.org/euclid.jmsj/1191419003