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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy Concentration and Weak Stability in Fluid Dynamics
流体动力学 能量集中 弱稳定性
2023/4/14
The weak stability is an important issue in fluid dynamics. We will discuss the mathematical understudying of concentration phenomena in the framework of weak solutions with either critical or subcrit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear Stability of Shear Flows and Rotating Flows in Fluid Dynamics
流体动力学 剪切流 旋转流 非线性稳定性
2023/4/25
Hydrodynamic stability at high Reynolds number is a central topic in fluid mechanics. It is closely related to turbulence. Whereas the laminar velocity profile is linearly stable for all Reynolds numb...
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：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...
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...
IUTAM Symposium on Dynamics and stability of fluid interfaces
IUTAM Seminar Dynamics Fluid interfaces stable
2017/12/13
Log in 提交 IUTAM Symposium on Dynamics and stability of fluid interfaces.
It is shown that a transformation of time can allow the periodic solution of a strongly nonlinear oscillator to be written as a simple cosine function. This enables the stability of strongly nonlinear...
Effect of quasiperiodic gravitational modulation on the stability of a heated fluid layer
quasiperiodic gravitational modulation stability heated fluid layer
2015/8/27
Thermal instability in a horizontal Newtonian liquid layer with rigid boundaries is investigated in the presence of vertical quasiperiodic forcing having two incommensurate frequencies ? 1 and ? 2 . B...
Nodal Points and the Nonlinear Stability of High-Order Methods for Unsteady Flow Problems on Tetrahedral Meshes
Nodal Points Nonlinear Stability High-Order Methods Unsteady Flow Problems Tetrahedral Meshes
2015/7/3
High-order methods have the potential to efficiently generate accurate solutions to fluid dynamics problems of practical interest. However, high-order methods are less robust than lower-or...
On the Non-linear Stability of Flux Reconstruction Schemes
High-order methods Flux reconstruction Nodal discontinuous Galerkin method Spectral difference method Non-linear stability
2015/7/3
The flux reconstruction (FR) approach unifies various high-order schemes, in cluding collocation based nodal discontinuous Galerkin (DG) methods, and all spectral difference methods (at le...
Dispersion stability and thermal conductivity of propylene glycol-based nanofluids
Nanofluids Propylene glycol Alumina nanoparticles Titania nanoparticles Thermal conductivity Dispersion stability
2012/5/29
The dispersion stability and thermal conductivity of propylene glycol based nanofluids containing Al2O3 and TiO2 nanoparticles were studied in the temperature range of 20 to 80 {\deg}C. Nanofluids wit...
Nonlinear mushy-layer convection with chimneys: stability and optimal solute fluxes
Nonlinear mushy-layer convection chimneys stability and optimal solute fluxes Fluid Dynamics
2012/5/28
We model buoyancy-driven convection with chimneys -- channels of zero solid fraction -- in a mushy layer formed during directional solidification of a binary alloy in two-dimensions. A large suite of ...
Lateral Stability Analysis of Hypersonic Vehicle under Pressure Fluctuation by Solving Mathieu Differential Equation
Lateral Stability Analysis of Hypersonic Vehicle Pressure Fluctuation Mathieu Differential Equation Fluid Dynamics
2012/4/20
Two recent test failures of Hypersonic Technology Vehicle 2 impose a strike to the increasingly growing enthusiasm, not only on the United States side. It is important to find out the exact failure re...
Bi-stability in turbulent, rotating spherical Couette flow
Bi-stability turbulent rotating spherical Couette flow Fluid Dynamics
2011/8/11
Abstract: Flow between concentric spheres of radius ratio $\eta = r_\mathrm{i}/r_\mathrm{o} = 0.35$ is studied in a 3 m outer diameter experiment. We have measured the torques required to maintain con...
Stability and turbulent transport in rotating shear flows: prescription from analysis of cylindrical and plane Couette flows data
Stability and turbulent transport rotating shear flow
2011/8/30
This paper provides a prescription for the turbulent viscosity in rotating shear flows for use e.g. in geophysical and astrophysical contexts. This prescription is the result of the detailed analysis ...