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Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity

✍ Scribed by Qionglei Chen; Changxing Miao; Zhifei Zhang

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 404 KB
Volume: 63
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.20325

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✦ Synopsis

Abstract

In this paper, we prove global well‐posedness for compressible Navier‐Stokes equations in the critical functional framework with the initial data close to a stable equilibrium. This result allows us to construct global solutions for the highly oscillating initial velocity. The proof relies on a new estimate for the hyperbolic/parabolic system with convection terms. © 2010 Wiley Periodicals, Inc.

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