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A note on the existence and uniqueness of plane steady viscous flow in exterior domains

A note on the existence and uniqueness of plane steady viscous flow in exterior domains In this article we study the existence and uniqueness of solutions of the stationary Navier-Stokes equations in two-dimensional exterior domains. Using well-known L q -estimates for the Oseen problems and an iterative process based on repeated resolution of Oseen problems, we prove the existence and uniqueness of solutions of the Navier-Stokes equations in two-dimensional exterior domains. Our results give another answer to a question recently raised in (2,3) concerning the summability with exponent p ) (1,2) of the gradient of the velocity of stationary plane flow of a viscous fluid in exterior domains. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Asymptotic Analysis IOS Press

A note on the existence and uniqueness of plane steady viscous flow in exterior domains

Asymptotic Analysis , Volume 29 (3) – Jan 1, 2002

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Publisher
IOS Press
Copyright
Copyright © 2002 by IOS Press, Inc
ISSN
0921-7134
eISSN
1875-8576
Publisher site
See Article on Publisher Site

Abstract

In this article we study the existence and uniqueness of solutions of the stationary Navier-Stokes equations in two-dimensional exterior domains. Using well-known L q -estimates for the Oseen problems and an iterative process based on repeated resolution of Oseen problems, we prove the existence and uniqueness of solutions of the Navier-Stokes equations in two-dimensional exterior domains. Our results give another answer to a question recently raised in (2,3) concerning the summability with exponent p ) (1,2) of the gradient of the velocity of stationary plane flow of a viscous fluid in exterior domains.

Journal

Asymptotic AnalysisIOS Press

Published: Jan 1, 2002

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