On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half-plane

Yasunori Maekawa

研究成果: Article査読

74 被引用数 (Scopus)

抄録

We consider the Navier-Stokes equations for viscous incompressible flows in the half-plane under the no-slip boundary condition. By using the vorticity formulation we prove the local-in-time convergence of the Navier-Stokes flows to the Euler flows outside a boundary layer and to the Prandtl flows in the boundary layer in the inviscid limit when the initial vorticity is located away from the boundary.

本文言語English
ページ(範囲)1045-1128
ページ数84
ジャーナルCommunications on Pure and Applied Mathematics
67
7
DOI
出版ステータスPublished - 2014 7

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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