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INTERFACE BEHAVIOR OF COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS AND VACUM 被引量：9

INTERFACE BEHAVIOR OF COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS AND VACUM
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摘要 In this paper,we study a one-dimensional motion of viscous gas near vacuum. We are interested in the case that the gas is in contact with the vacuum at a finite interval. This is a free boundary problem for the one-dimensional isentropic Navier-Stokes equations, and the free boundaries are the interfaces separating the gas from vacuum,across which the density changes discontinuosly.Smoothness of the solutions and the uniqueness of the weak solutions are also discussed.The present paper extends results in Luo-Xin-Yang[12] to the jump boundary conditions case. In this paper,we study a one-dimensional motion of viscous gas near vacuum. We are interested in the case that the gas is in contact with the vacuum at a finite interval. This is a free boundary problem for the one-dimensional isentropic Navier-Stokes equations, and the free boundaries are the interfaces separating the gas from vacuum,across which the density changes discontinuosly.Smoothness of the solutions and the uniqueness of the weak solutions are also discussed.The present paper extends results in Luo-Xin-Yang[12] to the jump boundary conditions case.
作者 郭真华 贺文
机构地区 Center for Nonlinear Studies and Department of Mathematics Northwest University
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期934-952,共19页 数学物理学报（B辑英文版）
基金 Supported in part by the NSFC(10771170)
关键词 INTERFACE Navier-Stokes equations VACUUM interface Navier-Stokes equations vacuum
分类号 O175.8 [理学—基础数学]
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  • 2Liu, T.-P., Xin, Z. P., Yang, T.: Vacuum states of compressible flow. Discrete Continuous Dynam. Systems, 4(1), 1-32 (1998).
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Acta Mathematica Scientia
2011年 第3期

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