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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：A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁 流体动力学模型 无条件能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some progress on steady Navier-Stokes system in a channel
通道 稳定 纳维-斯托克斯系统
2023/4/27
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit
三尺度极限 无粘性旋转分层 Boussinesq方程 色散估计
2023/5/5
A dispersive decay estimate is proven for the linear propagator of the three-scale rotating stratified Boussinesq equations in the stratification-dominant regime. Because the phase function of that pr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit
分层主导 三尺度极限 无粘性旋转分层 Boussinesq方程 色散估计
2023/5/5
A dispersive decay estimate is proven for the linear propagator of the three-scale rotating stratified Boussinesq equations in the stratification-dominant regime. Because the phase function of that pr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：ANALYSIS AND APPROXIMATION OF FLUIDS UNDER SINGULAR FORCING
奇异强迫体 分析 近似 牛顿流体
2023/5/5
Motivated by applications, like modeling of thin structures immersed in a fluid, we develop a well posedness theory for Newtonian and some non-Newtonian fluids under singular forcing in Lipschitz doma...
第一届全国能源转化储存与CCUS渗流会议暨湖北省第四届渗流力学前沿论坛于2022年11月26日以在线直播的形式成功召开。会议由中国力学学会流体力学专业委员会渗流力学专业组、湖北省岩石力学与工程学会主办，中国科学院武汉岩土力学研究所、中国科学院力学研究所、MDPI和中国岩石力学与工程学会低碳能源岩石力学与工程专业委员会承办，中国石油勘探开发研究院、中盐盐穴综合利用股份有限公司、湖北省力学学会协办。
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：可压缩Navier-Stokes方程Riemann解的稳定性
可压缩 Navier-Stokes方程 Riemann解 稳定性
2023/5/6
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Existence of phase transition for percolation using the Gaussian Free Field
高斯自由 伯努利渗透 相变存在
2023/5/8
In this talk, we prove that Bernoulli percolation on graph undergoes a non-trivial phase transition if the graph has bounded degrees and random walk on the graph has a heat kernel with rapid decay. Th...
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：Nonlinear structural stability and linear dynamic instability of transonic steady-states to a hydrodynamic model for semiconductors
跨音速稳态 非线性结构稳定性 线性动态不稳定性 半导体 流体动力学模型
2023/5/8
For unipolar hydrodynamic model of semiconductor device represented by Euler-Poisson equations, when the doping profile is supersonic, the existence of steady transonic shock solutions and C^\infty-sm...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The long wave approximation of the Green-Naghdi equations with the Coriolis effect
格林-纳格迪方程 长波近似 科里奥利效应
2023/5/8
This talk study the long wave asymptotic behavior of Green-Naghdi equations, which could be used to describe the propagation of long-crested shallow-water waves in the equatorial ocean regions with th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics
辐射流体动力学 可压缩欧拉 近似模型 扩散极限
2023/5/8
We first show the nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising in radiation hydrodynamics as the Mach number tends to zero when the initial data is well-prep...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability and instability of a generic non--conservative compressible two--fluid model
通用非保守 可压缩 双流体模型 稳定性 不稳定性
2023/5/8
We are concerned with stability and instability of the steady state (1,0, 1, 0) for a generic non–conservative compressible two–fluid model in R^3. Under the assumption that the initial fraction densi...