三维Boussinesq方程组在slip边界条件下的粘性消失极限的研究
发布时间：2018-09-08 10:39
【摘要】：本文研究的是在一般区域里,三维不可压Boussinesq方程组在slip边界条件下的粘性消失极限问题.我们给出了初边值问题的适当性,在限制了初始旋度为零的前提下,得到对应理想Boussinesq方程组的旋度在时间演化上仍保持不变额外的边界条件,在此基础上得到Boussinesq方程组解的强收敛,并且得到了一个收敛率结果.
[Abstract]:In this paper, we study the viscous vanishing limit of three-dimensional incompressible Boussinesq equations under the slip boundary condition in a general domain. We give the appropriateness of the initial-boundary value problem. On the premise of limiting the initial curl to zero, we obtain the additional boundary conditions that the curl of the corresponding ideal Boussinesq equations remains invariant in time evolution. On this basis, the strong convergence of solutions of Boussinesq equations is obtained, and a convergence rate result is obtained.
【学位授予单位】：湘潭大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175
本文编号：2230281
[Abstract]:In this paper, we study the viscous vanishing limit of three-dimensional incompressible Boussinesq equations under the slip boundary condition in a general domain. We give the appropriateness of the initial-boundary value problem. On the premise of limiting the initial curl to zero, we obtain the additional boundary conditions that the curl of the corresponding ideal Boussinesq equations remains invariant in time evolution. On this basis, the strong convergence of solutions of Boussinesq equations is obtained, and a convergence rate result is obtained.
【学位授予单位】：湘潭大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175
【参考文献】
相关期刊论文 前1条
1 ;Remarks on Vanishing Viscosity Limits for the 3D Navier-Stokes Equations with a Slip Boundary Condition[J];Chinese Annals of Mathematics(Series B);2011年03期
，本文编号：2230281
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