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

Yasunori Maekawa

Research output: Contribution to journalArticlepeer-review

74 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1045-1128
Number of pages84
JournalCommunications on Pure and Applied Mathematics
Volume67
Issue number7
DOIs
Publication statusPublished - 2014 Jul

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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