Compressible Navier-Stokes equations with density-dependent viscosity and vacuum
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 965-981 |
| Journal / Publication | Communications in Partial Differential Equations |
| Volume | 26 |
| Issue number | 5-6 |
| Publication status | Published - 2001 |
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Abstract
In this paper, we study the one-dimensional motion of viscous gas connecting to vacuum state with a jump in density when the viscosity depends on the density. Precisely, when the viscosity coefficient μ is proportional to ρθ and 0 <θ <1/2, where ρ is the density, the global existence and the uniqueness of weak solutions are proved. This improves the previous results by enlarging the interval of θ. Copyright © 2001 by Marcel Dekker, Inc.
Citation Format(s)
Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. / Yang, Tong; Yao, Zheng-An; Zhu, Changjiang.
In: Communications in Partial Differential Equations, Vol. 26, No. 5-6, 2001, p. 965-981.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
