On vorticity formulation for viscous incompressible flows in R3+

Humiya Kosaka, Yasunori Maekawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper we study the vorticity equations for viscous incompressible flows in the half space under the no-slip boundary condition on the velocity field. In particular, the boundary condition for the vorticity field is presented explicitly, and the solution formula for the linearized problem is obtained.

Original languageEnglish
Title of host publicationRecent Developments of Mathematical Fluid Mechanics
EditorsYoshikazu Giga, Hideo Kozono, Masao Yamazaki, Hisashi Okamoto, Herbert Amann
PublisherSpringer Verlag
Pages351-374
Number of pages24
ISBN (Print)9783034809382
DOIs
Publication statusPublished - 2016
EventInternational Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan
Duration: 2013 Mar 52013 Mar 9

Publication series

NameAdvances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday
Volumenone

Other

OtherInternational Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013
Country/TerritoryJapan
CityNara
Period13/3/513/3/9

Keywords

  • Biot-Savart law
  • Navier-Stokes equations
  • Vorticity equations

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

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