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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global large strong solutions to the 2D radially symmetric compressible Navier-Stokes equations on bounded domain
有界域 二维径向对称 可压缩Navier-Stokes方程 全局大强解
2023/12/11
In this talk, I will present our recent result the 2D radially symmetric compressible Navier-Stokes equations with density-dependent viscosity. Under the condition of beta>1, we prove the global exist...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometric regularity criteria and inviscid limit of incompressible Navier--Stokes Equations under Navier boundary condition
Navier边界条件 不可压缩 Navier-Stokes方程 几何正则性准则 无粘极限
2023/11/29
We report our recent works on the analysis of 3D incompressible Navier--Stokes Equations subject to the Navier slip boundary condition, i.e., tangential components of the stress exerted by the normal ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Blowup of smooth solutions for compressible Navier-Stokes equations
可压缩 Navier-Stokes方程 光滑解 爆破
2023/11/15
In this talk，we discuss the finite time blow up phenomena of smooth solutions to the compressible Navier-Stokes system when the initial data contain vacuums. It is proved that any classical solutions ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Finite-Time Splash for the free boundary incompressible Navier–Stokes equations (I)
自由边界 不可压缩 Navier-Stokes方程 有限时间飞溅
2023/5/18
In this talk, we consider the incompressible Navier-Stokes equations with free boundary, which has a finite-time splash singularity for a large class of specially prepared initial data. The approach i...
Chao Wang:Inviscid limit of Navier Stokes equations with vortex sheet initial data
涡片 初始数据 纳维斯托克斯方程 无粘极限
2023/4/11
In this talk, I will talk about the inviscid limit of 2-D incompressible Navier-Stokes equations in the whole space with vortex sheet initial data. Although the initial data have different velocities ...
袁源副研究员：Blowup of the entropy-bounded classical solutions to the nonisentropic compressible Navier-Stokes equations
非等熵 可压缩 纳维-斯托克斯方程 熵界经典解 爆炸
2023/4/11
This talk concerns the instantaneous blowup of entropy-bounded classical solutions to the vacuum free boundary problem or the Cauchy problem of nonisentropic compressible Navier-Stokes equations.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Maximal $L^1$-regularity and application to a free boundary problem of Navier-Stokes equations near half-space in critical space (I)
临界空间 近半空间 纳维-斯托克斯方程 最大$L^1$-正则性 自由边界问题
2023/4/17
In this talk, time-dependent free surface problem for the incompressible Navier-Stokes equations which describes the motion of viscous incompressible fluid nearly half-space are considered. We will di...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Optimal decay rates on compressible Navier-Stokes equations with degenerate viscosity and vacuum
简并粘度 真空 可压缩 NS方程 最佳衰减率
2023/4/18
In this talk, we consider the large time behavior of the weak solution to the free boundary problem for one-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosity and va...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Resolvent problem for linearized compressible Navier-Stokes equations with free surface
自由曲面 线性可压缩 纳维-斯托克斯方程 解问题
2023/4/28
In this talk, we will discuss the resolvent problem for the linearized one of the free surface problem of compressible, viscous and heat-conducting fluid, which is a problem in an infinite strip domai...
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：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...
On the barotropic compressible Navier-Stokes equations
barotropic compressible Navier-Stokes equations
2015/10/15
We consider barotropic compressible Navier-Stokes equations with density dependent viscosity coefficients that vanish on vacuum. We prove the stability of weak solutions in periodic domain Ω = T...
Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations
global strong solutions one-dimensional compressible Navier-Stokes equations
2015/10/15
We consider Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial datum are smooth and the initial density is bounded by below by a posi...
A bound from below for the temperature in compressible Navier-Stokes equations
below for the temperature compressible Navier-Stokes equations
2015/10/15
We consider the full system of compressible Navier-Stokes equations for heat conducting fluid. We show that the temperature is uniformly positive for t ≥ t0 (for any t0 > 0) for any solutions with fin...