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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： On the dimension of limit sets on the real projective plane via stationary measures
实射影平面 极限集 维数 平稳测度
2023/11/29
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the dimension of limit sets on the real projective plane via stationary measures
实射 影平面 极限集 维数 平稳测度
2023/11/15
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On deformation limit in deformation theory
变形理论 变形极限 射影流形
2023/11/15
This talk mainly concerns the projective, Moishezon and Kahler loci of a family. We first introduce four conjectures on this topic and then the works of the deformation limit of projective manifolds a...
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：On the L2 rate of convergence in the limit from the Hartree to the Vlasov–Poisson Equation
哈特里到弗拉索夫 泊松方程 极限 L2收敛率
2023/4/13
We consider the semiclassical limit from the Hartree equation with Coulomb interaction potential to the Vlasov–Poisson equation. Using a new stability estimate for the difference of the square roots o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonrelativistic limit of the Klein-Gordon equations: convergence rates and long time approximations
克莱因-戈登方程 非相对论极限 收敛率 长时间近似
2023/4/18
We study the nonrelativistic limit of the cubic Klein-Gordon equations. We show the cubic Klein-Gordon equation converges to the cubic Schr\"odinger equation with a convergence rate of order $\epsilon...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global quasineutral Euler limit for the Vlasov-Poisson-Landau system with rarefaction waves
稀薄波 弗拉索夫-泊松-朗道系统 准中性 欧拉极限
2023/4/24
The formal limit of the one-dimensional Vlasov-Poisson-Landau (VPL) system in the combined small Knudsen and quasineutral regimes gives the compressible Euler system. In the talk I will present a rece...
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...