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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...
The dramatic rise in production of electric vehicles, coupled with expected growth in the use of grid-connected battery systems for storing electricity from renewable sources, raises a crucial questio...
Limit Theory for Panel Data Models with Cross Sectional Dependence and Sequential Exogeneity
Panel Data Models Sequential Exogeneity
2015/9/22
The paper derives a general Central Limit Theorem (CLT) and asymptotic distributions for sample moments related to panel data models with large . The results allow for the data to be cross sec...
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...
Entrainment of Micromechanical Limit Cycle Oscillators in the Presence of Frequency Instability
Limit cycles micromechanical devices optical resonators oscillators thermomechanical processes
2015/8/27
The nonlinear dynamics of micromechanical oscil-lators are explored experimentally. Devices consist of singly and doubly supported Si beams, 200nm thick and 35 μm long.When illuminated within a laser ...
Comparative Analysis of Computational Methods for Limit-Cycle Oscillations
Comparative Analysis Computational Methods Limit-Cycle Oscillations
2015/7/2
Various methods are explored in the computation of time-periodic solutions for autonomous systems. The purpose of the work is to illuminate the capabilities and limitations of methods, including a new...
Reduction of the Adjoint Gradient Formula in the Continuous Limit
Adjoint Gradient Formula Continuous Limit
2015/7/2
We present a new continuous adjoint method for Aerodynamic Shape Optimization (ASO) using the Euler equations, which reduces the computational cost of the gradi ents by reducing the volume integral pa...
Mesostructural Characterization and Probabilistic Modeling of the Design Limit States of Parallel Strand Lumber
Constitutive Modeling Finite Element Modeling Material Characterization Mechanics of Materials Parallel Strand Lumber (PSL) Probabilistic Mechanics
2014/11/4
Over recent decades, the public tendency toward using the structural composite lumber (SCL), a common composite of wood made of wood strands or veneers glued and compressed together, as structural mem...