中科院数学与系统科学研究院

数学研究所

偏微分方程研讨班

 

报告人: 琚强昌 研究员 (北京应用物理与计算数学研究所)
  目:The singular limit of compressible MHD equations
  间:2021.12.06(星期一),10:30-11:30
  点:思源楼S817
  要:We obtain the convergence rate estimates for singular limits of the compressible ideal magneto-hydrodynamic equations when the Mach and Alfven numbers tend to zero at different rates. Since the uniform boundedness of the first time derivative of solutions isnt propagated for positive time in general for three-scale system, it is shown that the issue of convergence rates for three-scale singular limits is much more complicated than for the classical two-scale.This is a recent joint work with Bin Cheng from Surrey university and Steve Schochet from Tel-Aviv university.

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报告人: 罗 涛 教授 (香港城市大学)
  目:On the Free Boundary Problem of 3-D  Full Compressible Euler Equations Coupled With a Nonlinear Poisson Equation
  间:2021.12.10(星期五),14:00-15:00
  点:腾讯会议:341 715 136
  要:For the problem of full compressible Euler Equations with variable entropy coupled with a nonlinear Poisson equation in three spatial dimensions with a general free boundary not restricting to a graph, we identify a stability condition for the electric potential of which the outer normal derivative is positive on the free surface besides the Taylor sign condition for the pressure to obtain a priori estimates on the Sobolev norms of the fluid variables and bounds for geometric quantities of free surface. This talk is based on a joint work with K. Trivisa and H. Zeng.

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