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On the existence of finite energy weak solutions to the Navier–Stokes equations in irregular domains

✍ Scribed by Peter Kukučka

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
201 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper studies the existence of weak solutions of the Navier–Stokes system defined on a certain class of domains in ℝ^3^ that may contain cusps. The concept of such a domain and weak energy solution for the system is defined and its existence is proved. However, thinness of cusps must be related to the adiabatic constant appearing in the pressure law. Copyright © 2008 John Wiley & Sons, Ltd.

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