On the R-sectoriality and the initial boundary value problem for the viscous compressible fluid flow

Yuko Enomoto, Yoshihiro Shibata

研究成果: Article査読

37 被引用数 (Scopus)

抄録

In this paper, we prove the R-sectoriality of the resolvent problem for the boundary value problem of the Stokes operator for the compressible viscous fluids in a general domain, which implies the generation of analytic semigroup and the maximal Lp-Lq regularity for the initial boundary value problem of the Stokes operator. Combining our linear theory with fixed point arguments in the Lagrangian coordinates, we have a local in time unique existence theorem in a general domain and a global in time unique existence theorem for some initial data close to a constant state in a bounded domain for the initial boundary value problem of the Navier-Stokes equations describing the motion of compressible viscous fluids. All the results obtained in this paper were announced in Enomoto-Shibata [12].

本文言語English
ページ(範囲)441-505
ページ数65
ジャーナルFunkcialaj Ekvacioj
56
3
DOI
出版ステータスPublished - 2013

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

フィンガープリント 「On the R-sectoriality and the initial boundary value problem for the viscous compressible fluid flow」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル