| 定常Navier—Stokes方程强解的存在唯一性区域及性质 |
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| 引用本文： | 张连文.定常Navier—Stokes方程强解的存在唯一性区域及性质[J].内蒙古大学学报(自然科学版),1992,23(4):451-454. |
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| 作者姓名： | 张连文 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 本文将Navier-Stokes方程化为一个莫线性算子方程;给出了定常问题强解的一个存在唯一性区域,并且证明了在此区域中强解是无穷可微的;同时还给出了解在该区域内的一致界和迭代求解公式.
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| 关 键 词： | Navier-Stokes方程 非线性算子方程 压缩映射 嵌入 |
On Strong solutions of Navier-Stokes Equations,Existence,Uniqueness and Properties |
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| Zhang Lianwen.On Strong solutions of Navier-Stokes Equations,Existence,Uniqueness and Properties[J].Acta Scientiarum Naturalium Universitatis Neimongol,1992,23(4):451-454. |
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| Authors: | Zhang Lianwen |
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| Institution: | Zhang LianwenDepartment of Mathematics |
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| Abstract: | Navier-stokes equations are transformed into a nonlinear equation,then an existence-uniqueness re- gion is characterized.We show that these Solutions are infinitely differentiable,and provide an uniform bound and an iterative formula for the solutions in this region as well. |
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| Keywords: | Navier-Stokes equation nonlinear operator equation contraction mapping imbedding |
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