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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hidden structures behinds the compressible Navier-Stokes equations and its applications to the corresponding models
可压缩 纳维-斯托克斯方程 隐藏结构 相应模型应用
2023/5/6
In this talk, we will review the past developments on the solutions of the compressible Navier-Stokes equations and reveal the three hidden structures which linked the weak solution to the strong one....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Application of Continuous Adjoint Method for Shape Optimization in Navier-Stokes Flow
连续伴随法 纳维-斯托克斯流 形状优化
2023/5/8
In this work, the shape optimization problem of a solid immersed in the incompressible fluid governed by Navier-Stokes equations is considered. Based on the continuous adjoint method, the shape gradie...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stochastic Navier-Stokes equations via convex integration
凸积分 随机 纳维-斯托克斯方程
2023/5/8
In this talk I will talk about our recent work on the three dimensional stochastic Navier-Stokes equations via convex integration method. First we establish non-uniqueness in law, existence and non-un...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations
三维等熵 可压缩 Navier-Stokes方程中 Couette流 线性稳定性
2023/5/10
Consider the linear stability of the three dimensional isentropic compressible Navier-Stokes equations on . We prove the enhanced dissipation phenomenon for the linearized isentropic compressible Navi...
