报告题目：Optimal decay rates of the compressible magnetohydrodynamic equations

报告人：厦门大学王华桥

报告时间：12月19日下午18:30-19:15

报告地点：数计学院4号楼302室

We use a pure energy method recently developed by Guo and Wang to prove the optimal time decay rates of the solutions to the compressible magnetohydrodynamic equations in the whole space. In particular, the optimal decay rates of the higher-order spatial derivatives of solutions are obtained.

报告题目：Decay estimates of solutions to the compressible Euler-Maxwell system in $R^3$

报告人：厦门大学王焰金（教授）

报告时间：12月19日下午19:30-20:15

报告地点：数计学院4号楼302室

摘要:  We study the large time behavior of solutions near a constant equilibrium to the compressible Euler–Maxwell system in R3. We first refine a global existence theorem by assuming that the H3 norm of the initial data is small, but the higher order derivatives can be arbitrarily large. If the initial data belongs to$H^{-s}$(0≤s<3 /2) or $b^{-s}_{2,\\infty}$(0lp–l2(1≤p≤2) type of the decay rates follows without requiring that the lp norm of initial data is small.