| 粘性依赖于密度的可压缩Navier-Stokes方程 |
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| 引用本文： | 张挺.粘性依赖于密度的可压缩Navier-Stokes方程[J].高校应用数学学报(英文版),2006,21(2):165-178. |
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| 作者姓名： | 张挺 |
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| 作者单位： | Dept. Of Math. , Zhejiang Univ. , Hangzhou 310027,China |
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| 摘 要： | The global existence of solutions to the equations of one-dimensional compressible flow with density-dependent viscosity is proved. Specifically,the assumptions on initial data are that the modulo constant is stated at x=∞ ＋and x=-∞ ,which may be different ,the density and velocity are in L^z ,and the density is bounded above and below away from zero. The results also show that even under these conditions, neither vacuum states nor concentration states can be formed in finite time.
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| 关 键 词： | 密度 粘性 可压缩Navier-Stokes方程 数学分析 |
| 收稿时间： | 2005-01-26 |
Compressible navier-stokes equations with density-dependent viscosity |
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| Zhang Ting.Compressible navier-stokes equations with density-dependent viscosity[J].Applied Mathematics A Journal of Chinese Universities,2006,21(2):165-178. |
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| Authors: | Zhang Ting |
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| Institution: | Dept. Of Math. , Zhejiang Univ. , Hangzhou 310027,China |
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| Abstract: | The global existence of solutions to the equations of one-dimensional compressible flow with density-dependent viscosity is proved. Specifically,the assumptions on initial data are that the modulo constant is stated at x= ∞ and x=-∞ ,which may be different ,the density and velocity are in L2,and the density is bounded above and below away from zero. The results also show that even under these conditions, neither vacuum states nor concentration states can be formed in finite time. |
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| Keywords: | Navier-Stokes equation density-dependent viscosity global existence |
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