HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

Solution formula for the vorticity equations in the half plane with application to high vorticity creation at zero viscosity limit

Files in This Item:
pre992.pdf224.8 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/84139

Title: Solution formula for the vorticity equations in the half plane with application to high vorticity creation at zero viscosity limit
Authors: Maekawa, Yasunori Browse this author
Keywords: Navier-Stokes equations
Vorticity equations
No-slip boundary conditions
Inviscid limit
Issue Date: 26-Dec-2011
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 992
Start Page: 1
End Page: 29
Abstract: We consider the Navier-Stokes equations for viscous incompressible flows in the half plane under the no-slip boundary condition. In this paper we first establish a solution formula for the vorticity equations through the appropriate vorticity formulation. The formula is then applied to establish the asymptotic expansion of vorticity fields at ! 0 that holds at least up to the time c 1=3, where is the viscosity coefficient and c is a constant. As a consequence, we get a natural sufficient condition on the initial data for the vorticity to blow up in the inviscid limit, together with explicit estimates.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69798
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University