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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：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 classical theory of hypothesis testing was fashioned for a scientific world of
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technology – ...
Positive Solutions of Semipositone BVPs for Differential Systems on Time Scales
Positive solution Semipositone boundary value problem Differential systems Time scales
2011/10/12
The paper is concerned with the semipositone Sturm-Liouville-like boundary value problems of second-order differential systems on time scales with two parameters. Applying a fixed point theorem in con...
On long-time decay for modified Klein-Gordon equation
Klein-Gordon equation relativistic equations resolvent spectral representa-tion
2010/12/6
We obtain a dispersive long-time decay in weighted energy norms for solutions of the Klein-Gordon equation in a moving frame. The decay extends the results of Jensen, Kato and Murata for the equations...