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赵 娜 博士后：Decay and Vanishing of some D-Solutions of the Navier-Stokes Equations

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 赵 娜 博士后，北京应用物理与计算数学研究所
Inviter:
Title:
 Decay and Vanishing of some D-Solutions of the Navier-Stokes Equations
Time & Venue:
 2021.05.23 15：00-16:00 思源楼S803室
Abstract:
 An old problem since Leray asks whether homogeneous D-solutions of the 3 dimensional Navier-Stokes equation in R^3 or some noncompact domains are 0. In this paper, we give a positive solution to the problem in two cases: (1) the full 3 dimensional slab case R^2 × [0, 1] with Dirichlet boundary condition; (2) when the solution is axially symmetric and periodic in the vertical variable. In addition, a general D-solution (without the axial symmetry assumption) vanishes in R^3 if, in spherical coordinates, the positive radial component of the velocity decays at order -1 of the distance. This is a joint work with Dr. Bryan Carrillo, Prof. Xinghong Pan and Prof. Qi S. Zhang.

相关话题/研究所 数学 计算 物理 北京

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