应best365在线官网登录入口邀请，上海交通大学数学科学学院徐浩博士将于2024年5月1日下午举行线上学术报告。

报告题目:Global well-posedness and asymptotic behavior of strong solutions to an initial-boundary value problem of 3D full compressible MHD equations

报告摘要：This talk is concerned with an initial-boundary value problem of full compressible magnetohydrodynamics (MHD) equations on 3D bounded domains subject to non-slip boundary condition for velocity, perfectly conducting boundary condition for magnetic field, and homogeneous Dirichlet boundary condition for temperature. The global well-posedness of strong solutions with initial vacuum is established and the exponential decay estimates of the solutions are obtained, provided the initial total energy is suitably small. More interestingly, it is shown that for $p\in(3,6)$, the $L^p$-norm of the gradient of density remains uniformly bounded for all $t\geq0$. This is in sharp contrast to that in [Chen-Chen-Wang, arXiv:2208.04480. Li-Lv-Wang,arXiv: 2207.00441v1.], where the exponential growth of the gradient of density in $L^p$-norm was explored.

时 间：5月1日（星期三）15：00-16:00

腾讯会议ID：864-276-868

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报告人简介

徐浩，2022年博士毕业于厦门大学，现为上海交通大学数学科学学院博士后，在MMMAS, JDE等期刊上发表SCI论文5篇，主持国家自然科学基金青年基金1项与博士后面上基金1项。

甘肃应用数学中心

甘肃省高校应用数学与复杂系统省级重点实验室

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