| 赵玲,潘佳庆.不可压缩Navier-Stokes方程解的非线性连续性[J].数学年刊A辑,2020,41(2):153~162 |
| 不可压缩Navier-Stokes方程解的非线性连续性 |
| The Continuous Dependence on Nonlinearities of Solutions of the Incompressible Navier-Stokes Equations |
| Received:October 19, 2018 |
| DOI：10.16205/j.cnki.cama.2020.0011 |
| 中文关键词: 不可压缩Navier-Stokes方程, 弱解, 近似解 |
| 英文关键词:Incompressible Navier-Stokes equation, Weak solution, Approximating solution |
| 基金项目:福建省中青年教师教育科研项目(No.\,JAT170330) |
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| 中文摘要: |
| 研究了不可压缩的Navier-Stokes方程弱解的粘性的连续依赖性.首先利用Moser迭代得到当T>0时, 在? × (0, T)上速度u的 L∞范数估计.其次讨论了对粘度μ的连续依赖性,并给出了精确的估计. |
| 英文摘要: |
| In this paper, the authors consider continuous dependence on the viscosity of weak solutions of the incompressible Navier-Stokes equations. Moser type iteration scheme is used to get theL∞norm estimate of the velocity in the domain ? × (0, T ) for a positive time T . Moreover, the authors discuss the continuous dependence on the parameter viscosity μ and give a precise estimate. |
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