Professors Chen Xingwu, Chen Guanggan and Wang Xiaohu were invited to give academic lectures in our college

College of Applied Mathematics    Reviewer:

On the afternoon of May 20th, Chen Xingwu, professor and doctoral supervisor of Sichuan University, Chen Guanggan, professor and doctoral supervisor of Sichuan Normal University, and Wang Xiaohu, professor of Sichuan University, were invited by the School of Applied Mathematics. 《Periodic orbits of Filippov systems with a line of discontinuity》、 《The finite and effective elements of SPDE》and《Convergence and dynamics of differential equations driven by stationary process》. This academic lecture was presided over by President Zhou Yuqian, and teachers and students of the School of Applied Mathematics actively participated in the lecture.

The main content of Professor Chen Xingwu's presentation is to discuss the periodic orbits of planar linear Filippov systems with discontinuities. He first introduced the relationship between the number and properties of sliding periodic orbitals and then summarized the coexistence relationship between sliding periodic orbitals and cross periodic orbitals.

Professor Chen Guangan first summarized the current research status and achievements of a class of stochastic partial differential equations driven by white noise, and then proposed three problems for the system: the infinite state space dimension makes the system too complex to be geometrically visualized; Uncountable variable space points make the numerical simulation of the system expensive; The driving noise makes the uncertainty of the system too large to be predicted. After that, academic exchanges are made on the finite element and efficient element of stochastic partial differential equations.

Professor Wang Xiaohu introduced the convergence and path dynamics of differential equations driven by stationary processes, such as the Euler approximation of Brownian motion, also known as Wong-Zakai approximation. He also discussed the convergence and path dynamics of differential equations in combination with three kinds of equations: reaction diffusion equation, lattice system and wave equation.

After the lecture, the experts exchanged and discussed with the teachers and students present, and answered some questions in the course of listening to the lecture and related questions in the academic research. This exchange activity created a good academic exchange atmosphere, provided a lot of academic thinking, and greatly promoted the students' academic enthusiasm.