Large time behavior of the semigroup on Lp spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain

Yuya Ishihara, Yoshiyuki Kagei

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Large time behavior of solutions to the linearized compressible Navier-Stokes equation around the motionless state in a cylindrical domain is investigated. The Lp decay estimates of the associated semigroup are established for all 1 < p < ∞. It is also shown that the time-asymptotic leading part of the semigroup is given by a one-dimensional heat semigroup.

Original languageEnglish
Pages (from-to)252-286
Number of pages35
JournalJournal of Differential Equations
Volume248
Issue number2
DOIs
Publication statusPublished - Jan 15 2010

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this