Some non-standard problems in viscous flow

✍ Scribed by L. E. Payne; P. W. Schaefer; J. C. Song

• Publisher: John Wiley and Sons
• Year: 2004
• Tongue: English
• Weight: 88 KB
• Volume: 27
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.538

✦ Synopsis

Abstract

Energy bounds are derived for Dirichlet type boundary value problems for the Navier–Stokes and Stokes equations when a combination of the solution values initially and at a later time is prescribed. The bounds are obtained by means of a differential inequality and imply uniqueness and continuous data dependence of the solutions for a range of values of the parameter in the non‐standard auxiliary condition. Copyright © 2004 John Wiley & Sons, Ltd.