A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems

Matthias Geissert, Matthias Georg Hieber, Thieu Huy Nguyen

研究成果: Article査読

31 被引用数 (Scopus)

抄録

This article develops a general approach to time periodic incompressible fluid flow problems and semilinear evolution equations. It yields, on the one hand, a unified approach to various classical problems in incompressible fluid flow and, on the other hand, gives new results for periodic solutions to the Navier–Stokes–Oseen flow, the Navier–Stokes flow past rotating obstacles, and, in the geophysical setting, for Ornstein–Uhlenbeck and various diffusion equations with rough coefficients. The method is based on a combination of interpolation and topological arguments, as well as on the smoothing properties of the linearized equation.

本文言語English
ページ(範囲)1095-1118
ページ数24
ジャーナルArchive for Rational Mechanics and Analysis
220
3
DOI
出版ステータスPublished - 2016 6 1
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Mechanical Engineering
  • Mathematics (miscellaneous)

フィンガープリント 「A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems」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