A PROOF OF THE INF–SUP CONDITION FOR THE STOKES EQUATIONS ON LIPSCHITZ DOMAINS-Reference-Cited by-同舟云学术

A PROOF OF THE INF–SUP CONDITION FOR THE STOKES EQUATIONS ON LIPSCHITZ DOMAINS

Published:2003-03 Issue:03 Volume:13 Page:361-371
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BRAMBLE JAMES H.¹

Affiliation:

1. Department of Mathematics, Texas A&M University, College Station, TX 77843, USA

Abstract

The purpose of this paper is to present a rather simple proof of an inequality of Nečas9 which is equivalent to the inf–sup condition. This inequality is fundamental in the study of the Stokes equations. The boundary of the domain is only assumed to be Lipschitz.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202503002544

Reference9 articles.

1. Mixed and Hybrid Finite Element Methods

2. Inequalities in Mechanics and Physics

3. Finite Element Methods for Navier-Stokes Equations

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