On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance

Yoshihiro Shibata, Koumei Tanaka

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

We consider a compressible viscous fluid effected by general form external force in R3. In part 1, an analysis of the linearized problem based on the weighted- L2 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 H3-norm of the initial disturbance is small enough, then the solution to the non-stationary problem exists uniquely and globally in time.

Original languageEnglish
Pages (from-to)797-826
Number of pages30
JournalJournal of the Mathematical Society of Japan
Volume55
Issue number3
DOIs
Publication statusPublished - 2003

Keywords

  • Compressible fluid
  • Navier-Stokes equation
  • Stability
  • Stationary solution

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance'. Together they form a unique fingerprint.

Cite this