Organizer: Quoc-Hung Nguyen, Academy of Mathematics and Systems Science,
Chinese Academy of Sciences, Beijing.
1. Friday, October 1st, 2021, 3pm-4pm:
Speaker: Shiwu Yang, Beijing International Center for Mathematical Research, Peking University
Title: Global solutions for the relativistic Vlasov-Maxwell with large Maxwell field
Abstract:
In this talk, we prove that the relativistic Vlasov-Maxwell system in three space dimension admits global solutions when the initial density distribution is sufficiently small and decays with rate $(1+|x|+|v|)^{-9-}$.In particular the Maxwell field is allowed to be arbitrarily large and we give an alternative proof for the small data case without compact support assumption. This is based on joint work with Dongyi Wei.
Location: Room N913, South Building, School of Mathematics
2. Friday, October 22nd, 2021, 3pm-4pm:
Speaker: Chao Wang, School of Mathematical Sciences, Peking University
Title: On the motion of interfaces of compressible and incompressible fluids with surface tension: A priori estimates
Abstract: In this talk, I will talk about two phase flow separated by a free boundary with surface tension. The upper flow is described by compressible Euler equations and the lower flow satisfies the incompressible Euler equations. In this talk, we obtain a priori estimate for the system.
Location: Room N913, South Building, School of Mathematics
3. Tuesday, November 2nd, 2021, 3pm-4pm:
Speaker: Dongfen Bian, Beijing Institute of Technology
Title: On the instability of Z-pinch in plasma
Abstract: In this talk, we will explain the recent results about the instability of z-pinch in plasma for both inviscid and viscous cases. These works are joint with Y. Guo and I. Tice.
Location: Room N913, South Building, School of Mathematics
4. Friday, December 3rd, 2021, 10am-11am:
Speaker: Zhenfu Wang, Beijing International Center for Mathematical Research, Peking University
Title:
Abstract:
Location: Room N913, South Building, School of Mathematics
5. Friday, December 10th, 2021, 10am-11am:
Speaker: Jiajun Tong, Beijing International Center for Mathematical Research, Peking University
Title:On the Free Boundary Evolution in a Tumor Growth Model with Nutrient
Abstract: We study a free boundary problem that naturally arises in a 2-D tumor growth model with nutrient. In this model, the tumor cells proliferate by consuming the nutrient locally, and meanwhile they migrate into ambient empty space because of an incompressibility constraint on the cell density. We shall focus on evolution of the tumor boundary, which couples strongly with the dynamics of nutrient in the bulk. We will show, under suitable assumptions, global well-posedness of evolution of the tumor boundary, provided that it is initially close to a circle. We will also establish its long-time convergence to a circular shape as well as a (sharp) decay estimate. Discussions will be made on several related problems.
Location: Room N913, South Building, School of Mathematics
