| 三维非均匀不可压缩Navier-Stokes方程弱解的存在性 |
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| 引用本文： | 朱道宇.三维非均匀不可压缩Navier-Stokes方程弱解的存在性[J].云南民族大学学报(自然科学版),2014(2):104-107. |
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| 作者姓名： | 朱道宇 |
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| 作者单位： | ;1.贵州民族大学理学院 |
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| 摘 要： | 首先构造非均匀不可压缩Navier-Stokes方程满足正则化初值的近似解,并对近似解作一致估计,然后将近似解过渡到极限,从而证明了方程存在满足局部能量不等式的弱解.
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| 关 键 词： | 非均匀不可压缩 一致估计 局部能量不等式 |
On the existence of weak solutions to 3D inhomogeneous incompressible Navier- Stokes equations |
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| Institution: | ,School of Science,Guizhou Minzu University |
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| Abstract: | Firstly,approximated solutions satisfying the regularized initial data are constructed,and the uniform estimate of these approximated solutions was deduced. Then the existence of weak solution to 3D inhomogeneous incompressible Navier- Stokes equations satisfying the local energy inequality is obtained by passing to the limit. |
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| Keywords: | inhomogeneous incompressible uniform estimate local energy inequality |
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