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搜索结果: 1-15 共查到会议中心 粘性流体力学相关记录19条 . 查询时间(2.21 秒)
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...
We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
We will present our recent results on the local well-posedness of free boundary problems for some inviscid fluids. In particular, for each problem the solution is constructed as the vanishing viscosit...
We will present our recent results on the local well-posedness of free boundary problems for some inviscid fluids. In particular, for each problem the solution is constructed as the vanishing viscosit...
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 ...
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...
疏散波(rarefaction wave)、激波(shock wave)和涡片波(vortex sheet)是可压缩流体中的三类基本波形,它们分别对应可压缩流体的疏散、压缩和剪切三类不同的物理现象。本次报告将研究对于可压缩Navier-Stokes方程,即考虑流体的粘性效应时,这三类波现象在小扰动下的稳定性。特别地,这里的扰动在空间无穷远处可以周期振荡,这类非局部扰动不仅带来数学上的新困难,也让我...
In this talk, I will discuss the method of convex integration and its applications on non-uniqueness of weak solutions to the hyper-viscous incompressible Navier-Stokes equations as well as the hypo-v...
In this talk, we will first go over the history of Schauder estimates, where the developing of proofs will be emphasized. Second, we will establish pointwise interior Schauder estimates for Stokes sys...
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
We provide an unconditional $L^2$ upper bound for the boundary layer separation of 3D Leray--Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy between a (turbulen...
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...
In this talk, we will discuss some recent progress on steady Navier-Stokes system in a channel, in particular, the problem posed by Leray on steady flows in channels. The existence and uniqueness of s...
可压缩Navier-Stokes方程描述可压缩粘性流体运动的力学规律,是流体力学中的基本方程。如果忽略粘性效应,可压缩Navier-Stokes方程即为无粘的可压缩Euler方程。可压缩Euler方程描述理想流体的运动,是典型的双曲守恒律方程组,其主要特点是:无论初值多么光滑和多么小,解都可能会爆破,形成间断(激波)。如果考虑可压缩Euler方程的Riemann问题,其解具有三种基本波:激波、稀疏...

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