Global well‐posedness for compressible Navier‐Stokes equations with highly oscillating initial velocity |
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| Authors: | Qionglei Chen Changxing Miao Zhifei Zhang |
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| Institution: | 1. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, P.R. China;2. Peking University, School of Mathematical Sciences, Beijing 100871, P.R. China |
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| 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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