搜索结果: 1-15 共查到“数学 the Navier - Stokes”相关记录98条 . 查询时间(0.045 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear stability of travelling wave solution of the Navier-Stokes-Poisson system for ions with $\gamma$-law pressure
纳维-斯托克斯-泊松系统 行波解 $γ$定律压力离子 非线性稳定性
2023/4/17
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-d full compressible Navier--Stokes equations. It is pro...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Asymptotic stability of the bipolar Navier-Stokes-Poisson system with boundary
具有边界 双极 纳维-斯托克斯-泊松系统 渐近稳定性
2023/5/6
In this talk, the combined quasi-neutral and zero-viscosity limits of the two-fluid Navier-Stokes-Poisson systems (one for ion and another for electron) with boundary are rigorously proved by investig...
The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum as far field density is considered. When the shear viscosity is a positive co...
The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum as far field density is considered. When the shear viscosity is a positive co...
关于Navier-Stokes方程带Navier边界条件的光滑控制以及对Lagrangian控制的应用
Navier-Stokes方程 Navier边界条件 光滑控制 Lagrangian控制
2023/1/5
We deal with the 3D Navier–Stokes equation in a smooth simply connected bounded domain, with controls on a non-empty open part of the boundary and a Navier slip-with-friction boundary condition on the...
可压缩Navier-Stokes方程描述了可压粘性流体的运动规律，是流体力学中的基本方程。粘性激波是可压缩Euler方程的激波受粘性影响形成的一个光滑行波解。激波的稳定性在数学理论和实际问题中都是重要的问题，以往的研究都是基于空间可积的局部扰动。如果扰动带有无穷多的振荡如周期扰动，则Navier-Stokes方程的粘性激波的稳定性是否会受到此类扰动的影响是公开问题。另一方面当粘性消失时，周期解会出...
不可压缩Navier-Stokes方程新进展
不可压缩 Navier-Stokes方程 新进展
2021/3/3
对经典不可压缩Navier-Stokes 方程：关于该问题的整体正则性是Clay研究所公布的七大千禧年问题之一。我们[7]证明了只要初始速度的一个方向导数在临界函数空间中充分小时，该问题存在唯一整体解，根据此条件， 我们构造了多类使得该方程存在整体解的大初值；更进一步我们[3]将此结果推广到了三维各向异性的Navier-Stokes方程；在[8]中证明了对于任意初值， 只要该方程的一个粘...
高维等熵/非等熵可压缩Navier-Stokes方程组是否具有允许真空初值的整体光滑解和弱解是一个长久的公开问题。我们在该系列问题的研究上取得了重大进展。
Boltzmann方程描述了“稀薄气体”的运动规律，是统计力学中的基本方程。Boltzmann方程解的整体适定性问题是偏微分方程中的核心问题。对于一般初值，美国数学家R.J. Diperna与法国数学家P.L. Lions (1994年Fields获得者) (Ann. of Math, 1989)通过弱紧性方法首次得到了Boltzmann方程的大初值重整化解的整体存在性。但是该重整化解的唯一性和正...
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...
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations
Global weak solutions Vlasov-Fokker-Planck Navier-Stokes system of equations
2015/10/15
We establish the existence of a weak solutions for a coupled system of kinetic and fluid equations. More precisely, we consider a Vlasov-FokkerPlanck equation coupled to compressible Navier-Stokes equ...
Asymptotic analysis for a Vlasov-Fokker-Planck/Compressible Navier-Stokes system of equations
Asymptotic analysis Vlasov-Fokker-Planck Compressible Navier-Stokes system of equations
2015/10/15
This article is devoted to the asymptotic analysis of a system of coupled kinetic and fluid equations, namely the Vlasov-Fokker-Planck equation and a compressible Navier-Stokes equation. Such a system...
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...