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Workshop on some aspects of incompressible Navier-Stokes equations
发布时间: 2018-03-04     16:53   【返回上一页】 发布人:Mikhail Korobkov et al.


Workshop on some aspects of incompressible

Navier-Stokes equations

 

 

 

Date: March 21 & 22, 2018

Venue: Room 1124, New main building, BNU

Invited speakers

Mikhail Korobkov (Fudan U)

Zhen Lei (Fudan U)

Yanyan Li (Rutgers U. & BNU)

Gregory Seregin (U. Oxford)

Jiahong Wu (Oklahoma State U)

Ping Zhang (AMSS, CAS)

Zhifei Zhang (PKU)

 

Organizing Committee:

Yanyan Li (Co-Chair), Jingang Xiong (Co-Chair, Email: jx@bnu.edu.cn)

Jiguang Bao, Haigang Li, Zhongwei Tang, Xiaojing Xu

 

Schedule:


March 21

10:00—11:00, Gregory Seregin

11:00—12:00, Ping Zhang

14:00—15:00, Jiahong Wu

15:00—16:00, Yanyan Li

March 22

9:00—10:00, Zhifei Zhang

10:00—11:00, Zhen Lei

11:10—12:10, Mikhail Korobkov


 

 

 

Titles & Abstracts:

Mikhail Korobkov: On convergence of arbitrary D-solution of steady Navier--Stokes system in 2D exterior domains

Abstract: This is a new joint work with K.Pileckas and R.Russo. We study solutions to stationary Navier--Stokes system in two dimensional exterior domains. We prove that any such solution with finite Dirichlet integral converges to a constant vector at infinity uniformly. No additional condition (on symmetry or smallness, etc.) are assumed. The proofs based on arguments of the classic Amick's article (Acta Math., 1988) and on results of recent papers by authors where the uniform boundedness of these solutions was established.

 

Zhen LeiSharp One Component Regularity for Navier-Stokes

Abstract: In this talk we will first present that one component of velocity has an a priori bound which is critical with respect to the natural scaling of Navier-Stokes in the axi-symmetric case. We then turn to present the study on one component regularity for Navier-Stokes equations. Certain criticality property of the axi-symmetric Navier-Stokes equations will also be reported.

 

Yanyan LiHomogeneous axisymmetric solutions of incompressible stationary

Navier-Stokes equations and vanishing viscosity limit

Abstract: We present results on the  existence of (-1)-homogeneous axisymmetric solutions of incompressible stationary Navier-Stokes equations which are smooth on the unit sphere minus the north and south poles. In particular we classify such solutions with no swirl, and analyze their limiting behavior as viscosity tends to zero.

 

Gregory SereginTBA

Abstract: TBA

 

Jiahong Wu: Stability and regularity results for the 2D Boussinesq equations with partial dissipation

Abstract: This talk presents recent work on the stability problem concerning two equilibrium solutions to the 2D Boussinesq equations with partial dissipation. First, we describe the linear and nonlinear stability results on the hydrostatic equilibrium of the 2D Boussinesq equations with only velocity dissipation. Second, we explain results on the stability of the Couette flow for the 2D Boussinesq equations with vertical dissipation.

 

Ping Zhang: TBA

Abstract:

 

Zhifei Zhang: Enhanced dissipation and transition threshold for Kolmogorov flow and Couette flow