Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer

Yoshiyuki Kagei

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Asymptotic behavior of solutions to the linearized compressible Navier-Stokes equation around a given constant state is considered in an infinite layer Rn-1 x (0, a), n ≥ 2, under the no slip boundary condition for the momentum. 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 an n -1 dimensional heat semigroup.

Original languageEnglish
Pages (from-to)763-794
Number of pages32
JournalPublications of the Research Institute for Mathematical Sciences
Volume43
Issue number3
DOIs
Publication statusPublished - Sep 2007

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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