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On the existence of solutions to the Navier–Stokes equations of a two-dimensional compressible flow

✍ Scribed by Radek Erban

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
218 KB
Volume
26
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider the Navier–Stokes equations for compressible, barotropic flow in two space dimensions. We introduce useful tools from the theory of Orlicz spaces. Then we prove the existence of globally defined finite energy weak solutions for the pressure satisfying p(ϱ) = __aϱ__log^d^(ϱ) for large ϱ. Here d>1 and a > 0. Copyright © 2003 John Wiley & Sons, Ltd.

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hud the opfiortunity of learning 9ure mathematics from him. Now I have had to learn mathematics again in order to understand our joilzt paper which m y good friend, C. C. L A , and myself dedicate to this volume honoring Kurt Friedrichs. M a y I take this occasion to express m y sincere gratitude an