Resolvent Estimates for the Linearized Compressible Navier-Stokes Equation in an Infinite Layer

Yoshiyuki Kagei

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The resolvent problem of the linearized compressible Navier-Stokes equation around a given constant state is considered in an infinite layer [formula omitted], under the no slip boundary condition for the momentum. It is proved that the linearized operator is sectorial in [formula omitted]for [formula omitted]. The Lpestimates for the resolvent are established for all [formula omitted]. The estimates for the high frequency part of the resolvent are also derived, which lead to the exponential decay of the corresponding part of the semigroup.

Original languageEnglish
Pages (from-to)287-337
Number of pages51
JournalFunkcialaj Ekvacioj
Volume50
Issue number2
DOIs
Publication statusPublished - Jan 1 2007

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Resolvent Estimates
Compressible Navier-Stokes Equations
Resolvent
Slip Boundary Condition
Exponential Decay
Semigroup
Momentum
Operator
Estimate

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Resolvent Estimates for the Linearized Compressible Navier-Stokes Equation in an Infinite Layer. / Kagei, Yoshiyuki.

In: Funkcialaj Ekvacioj, Vol. 50, No. 2, 01.01.2007, p. 287-337.

Research output: Contribution to journalArticle

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