| On the global existence and uniqueness of solutions to the nonstationary boundary layer system |
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| 引用本文： | ZHANG Jianwen & ZHAO Junning School of Mathematical Sciences,Xiamen University,Xiamen 361005,China. On the global existence and uniqueness of solutions to the nonstationary boundary layer system[J]. 中国科学A辑(英文版), 2006, 49(7): 932-960. DOI: 10.1007/s11425-006-0932-9 |
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| 作者姓名： | ZHANG Jianwen & ZHAO Junning School of Mathematical Sciences Xiamen University Xiamen 361005 China |
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| 作者单位： | ZHANG Jianwen & ZHAO Junning School of Mathematical Sciences，Xiamen University，Xiamen 361005，China |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | In this paper, we study the problem of boundary layer for nonstationary flows of viscous incompressible fluids. There are some open problems in the field of boundary layer. The method used here is mainly based on a transformation which reduces the boundary layer system to an initial-boundary value problem for a single quasilinear parabolic equation. We prove the existence of weak solutions to the modified nonstationary boundary layer system. Moreover, the stability and uniqueness of weak solutions are discussed.
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| 收稿时间： | 2005-11-01 |
| 修稿时间： | 2006-02-25 |
On the global existence and uniqueness of solutions to the nonstationary boundary layer system |
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| ZHANG Jianwen,ZHAO Junning. On the global existence and uniqueness of solutions to the nonstationary boundary layer system[J]. Science in China(Mathematics), 2006, 49(7): 932-960. DOI: 10.1007/s11425-006-0932-9 |
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| Authors: | ZHANG Jianwen ZHAO Junning |
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| Affiliation: | School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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| Abstract: | In this paper, we study the problem of boundary layer for nonstationary flows of viscous incompressible fluids. There are some open problems in the field of boundary layer. The method used here is mainly based on a transformation which reduces the boundary layer system to an initial-boundary value problem for a single quasilinear parabolic equation. We prove the existence of weak solutions to the modified nonstationary boundary layer system. Moreover, the stability and uniqueness of weak solutions are discussed. |
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| Keywords: | boundary layer BV space global weak solutions stability and uniqueness |
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