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- Title
Asymptotic behavior of global weak solutions to lD compressible Navier-Stokes equations.
- Authors
Hong-li, SONG
- Abstract
One-dimensional compressible Navier-Stokes equations with free boundary value problem is studied. The initial density is assumed to be connected to vacuum discontinuously. The positive upper and lower bound of the density p is obtained by using some priori estimates, and then smooth approximate solutions are constructed by defining the approximate initial data. The existence of global weak solutions is proved when the viscosity coefficient μ(ρ) = 1 + θρθ e> o. Moreover, asymptotic behavior of global weak solutions is discussed.
- Subjects
NUMERICAL solutions to Navier-Stokes equations; ASYMPTOTIC theory of algebraic ideals; DIFFERENTIAL equations; VISCOSITY solutions; APPROXIMATION theory; SMOOTHNESS of functions; BOUNDARY value problems
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2012, Vol 25, Issue 3, p292
- ISSN
1006-8341
- Publication type
Article