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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long-time asymptotics of soliton equations via the nonlinear steepest descent method
非线性 最速下降法 孤立子方程 长时间渐近性
2023/11/13
Based on the matrix block technique, the Deift-Zhou nonlinear steepest descent method is developed in order to study the asymptotic analysis of solutions of some nonlinear evolution equations associat...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Finite-Time Splash for the free boundary incompressible Navier–Stokes equations (I)
自由边界 不可压缩 Navier-Stokes方程 有限时间飞溅
2023/5/18
In this talk, we consider the incompressible Navier-Stokes equations with free boundary, which has a finite-time splash singularity for a large class of specially prepared initial data. The approach i...
Discovery reveals a reversible magnetic field around a fast radio burst for the first time
快速射电暴 可逆磁场 无线电波闪光
2023/5/15
An international team of researchers has revealed new evidence on the nature of mysterious fast radio bursts (FRBs) – objects in space that produce brief, intense flashes of radio waves from distant g...
With new experimental method, researchers probe spin structure in 2D materials for first time（图）
2D材料 自旋结构 “魔角”石墨烯
2023/6/26
By observing spin structure in “magic-angle” graphene, a team of scientists led by Brown University researchers have found a workaround for a long-standing roadblock in the field of two-dimensional el...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long-time behavior of Alfven waves in a flowing plasma
阿尔文波 流动 等离子体 长期行为
2023/4/28
In this talk, we consider the long-time behavior of the linearized MHD equations around a steady flowing plasma. We confirm the following physical phenomenon: there will be a generation of a magnetic ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long time behavior of the Sine-Gordon equation
正弦 戈登方程 长时间行为 黎曼-希尔伯特问题
2023/4/26
We use the nonlinear steepest descent for Riemann-Hilbert problems to compute the long-time asymptotics of the solutions to the sine-Gordon equation whose initial condition belongs to some weighted So...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Space-time finite and boundary element methods for the wave equation
波动方程 时空有限元 边界元方法
2023/4/21
In this talk we will review some recent results on space-time finite and boundary element methods for the wave equation. As a first model problem we consider the inhomogeneous wave equation with zero ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
How, and for what purpose, are cities and populations tracked, virtualized, and simulated by computational infrastructures in realtime? The semester's second Preston Thomas Memorial Symposium — "Real ...
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：Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
Landau–Lifshitz–Gilbert 二维 有限时间 奇点形成
2023/4/19
Landau-Lifshitz-Gilbert equation (LLG) describes magnetization of ferromagnets. In this paper, we consider the singularity formation of LLG from R^2 to S^2. For any prescribed N distinct points q^{j} ...
LHCb begins using unique approach to process collision data in real-time（图）
LHCb 碰撞数据 大型强子对撞机
2023/5/29
Current technology does not allow all Large Hadron Collider (LHC) proton–proton collision data to be stored and analysed. It is therefore necessary to filter out the data according to the scientific g...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy stability of exponential time differencing schemes for the nonlocal Cahn-Hilliard equation
非局部 Cahn-Hilliard方程 指数时间 差分方案 能量稳定性
2023/4/24
In this talk, we consider a class of exponential time differencing (ETD) schemes for solving the nonlocal Cahn-Hilliard equation. We first use the Fourier collocation method to discretize the space do...
The ongoing search for signs of life on Mars relies in part on terrestrial analogs – places on Earth closely resembling the past or current geology and climate of the red planet that can be readily ex...
If she hits just the right pitch, a singer can shatter a wine glass. The reason is resonance. While the glass may vibrate slightly in response to most acoustic tones, a pitch that resonates with the m...