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Helically symmetric solutions to the 3-D Navier–Stokes equations for compressible isentropic fluids

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成果类型:
期刊论文
作者:
Sun, WJ*;Jiang, S;Guo, ZH
通讯作者:
Sun, WJ
作者机构:
[Sun, WJ; Jiang, S] LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China
[Guo, ZH] LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China<&wdkj&>Laboratory of Nonlinear Analysis, Department of Mathematics, Huazhong Normal University, Wuhan, 430079, China
通讯机构:
[Sun, WJ ]
Inst Appl Phys & Computat Math, LCP, POB 8009, Beijing 100088, Peoples R China.
语种:
英文
期刊:
Journal of Differential Equations
ISSN:
0022-0396
年:
2006
卷:
222
期:
2
页码:
263-296
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
We prove the existence of global weak solutions to the Navier-Stokes equations for compressible isentropic fluids for any gamma > 1 when the Cauchy data are helically symmetric, where the constant gamma is the specific heat ratio. Moreover, a new integrability estimate of the density in any neighborhood of the symmetry axis (the singularity axis) is obt...

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