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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Compressible fluid limit for the Landau equation
Landau方程 可压缩 流体极限
2023/11/29
We are concerned with the compressible Euler limit for smooth solutions to the Landau equation with Coulomb potentials in the whole space. Specifically, over any finite time interval where the full co...
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 ...
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 ...
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：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...
Limit Cycle Oscillations in CW Laser-Driven NEMS
Finite element method (FEM) laser drive limit cycle oscillation self-oscillation thermal stress
2015/8/27
Limit cycle, or self-oscillations, can occur in a variety of NEMS devices illuminated within an interference field. As the device moves within the field, the quantity of light absorbed and hence the r...
Perturbation analysis of entrainment in a micromechanical limit cycle oscillator
Resonance MEMS Bifurcation Perturbation
2015/8/27
We study the dynamics of a thermo-mechanical model for a forced disc shaped, micromechanical limit cycle oscillator.The forcing can be accomplished either parametrically, by modulating the laser beam ...
Dynamics of three coupled limit cycle oscillators with application to artificial intelligence
MEMS oscillators Associative memory Phase-locked motion Coupled oscillators
2015/8/27
We study a system of three limit cycle oscillators which exhibits two stable steady states. The system is modeled by both phase-only oscillators and by van der Pol oscillators. We obtain and compare t...
Swimming by medusae Sarsia tubulosa in the viscous vortex ring limit
jet propulsion impulsive Stokeslet impulsive stresslet
2014/4/1
As organisms swim in their natural environment, they are constantly striving to forage successfully,
escape from predation, and search for mates to reproduce. At some stage in their life cycle, most ...
The Kibble-Zurek Problem: Universality and the Scaling Limit
Kibble-Zurek nonequilibrium quench adiabatic
2012/2/27
Near a critical point, the equilibrium relaxation time of a system diverges and any change of control/thermodynamic parameters leads to non-equilibrium behavior. The Kibble-Zurek problem is to determi...
Evaluation of load control end-feed in hydroforming of pre-bent dp600 steel tube using the extended stress-based forming limit curve (xsflc) failure criterion
hydroforming stress-based failure criterion load control end-feed formability tube bending
2010/3/11
The work presented in this paper utilizes advanced nite element models ofthe pre-bending and hydroforming processes to investigate the e ect of load control endfeed (EF) on the formability of DP600 s...