| 一类稳态不可压非牛顿Boussinesq方程组解的存在唯一性 |
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| 引用本文： | 杨惠,王长佳. 一类稳态不可压非牛顿Boussinesq方程组解的存在唯一性[J]. 吉林大学学报(理学版), 2002, 57(4): 753-761 |
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| 作者姓名： | 杨惠 王长佳 |
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| 作者单位： | 长春理工大学 理学院, 长春 130022 |
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| 摘 要： | 在三维光滑有界区域Ω中, 考虑一类稳态不可压非牛顿Boussinesq方程组的第一边值问题. 在外力项某一范数适当小的条件下, 用迭代方法证明当指数p∈(1,2)时方程组正则解的存在唯一性.
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| 关 键 词： | 非牛顿流 Boussinesq方程 正则解 存在唯一性 |
| 收稿时间： | 2018-08-22 |
Existence and Uniqueness of Solutions for a Class of Steady StateIncompressible Non Newtonian Boussinesq Equations#br# |
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| YANG Hui,WANG Changjia. Existence and Uniqueness of Solutions for a Class of Steady StateIncompressible Non Newtonian Boussinesq Equations#br#[J]. Journal of Jilin University: Sci Ed, 2002, 57(4): 753-761 |
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| Authors: | YANG Hui WANG Changjia |
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| Affiliation: | School of Science, Changchun University of Science and Technology, Changchun 130022, China
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| Abstract: | We considered the first boundary value problems for a class ofsteady state incompressible non Newtonian Boussinesq equations ina three dimensional smooth bounded domain Ω. Under the conditions that the external force term was appropriately small, we proved theexistence and uniqueness of regular solutions for the problem when the exponent p∈(1,2) by using the iterative method. |
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| Keywords: | non Newtonian fluid Boussinesq equation regular solution existence and uniqueness |
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