Inviscid limit for axisymmetric navier-stokes system

Taoufik Hmidi; Mohamed Zerguine

Inviscid limit for axisymmetric navier-stokes system

Taoufik Hmidi, Mohamed Zerguine

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We are interested in the global well posedness of the axisymmetric Navier-Stokes system with initial data belonging to the critical Besov spaces B^1+3/p_p,1. We obtain uniform estimates of the viscous solutions (v_v) with respect to the viscosity in the spirit of the work [2] concerning the axisymmetric Euler equations. We provide also a strong convergence result in the L^p norm of the viscous solutions (v _v) to the Eulerian one v.

Original language	English (US)
Pages (from-to)	1223-1246
Number of pages	24
Journal	Differential and Integral Equations
Volume	22
Issue number	11-12
State	Published - Nov 2009

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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title = "Inviscid limit for axisymmetric navier-stokes system",

abstract = "We are interested in the global well posedness of the axisymmetric Navier-Stokes system with initial data belonging to the critical Besov spaces B1+3/pp,1. We obtain uniform estimates of the viscous solutions (vv) with respect to the viscosity in the spirit of the work [2] concerning the axisymmetric Euler equations. We provide also a strong convergence result in the Lp norm of the viscous solutions (v v) to the Eulerian one v.",

author = "Taoufik Hmidi and Mohamed Zerguine",

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AB - We are interested in the global well posedness of the axisymmetric Navier-Stokes system with initial data belonging to the critical Besov spaces B1+3/pp,1. We obtain uniform estimates of the viscous solutions (vv) with respect to the viscosity in the spirit of the work [2] concerning the axisymmetric Euler equations. We provide also a strong convergence result in the Lp norm of the viscous solutions (v v) to the Eulerian one v.

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Inviscid limit for axisymmetric navier-stokes system

Abstract

ASJC Scopus subject areas

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