應(yīng)yl7703永利官網(wǎng)邀請(qǐng)，上海交通大學(xué)數(shù)學(xué)科學(xué)學(xué)院徐浩博士將于2024年5月1日下午舉行線(xiàn)上學(xué)術(shù)報(bào)告。

報(bào)告題目:Global well-posedness and asymptotic behavior of strong solutions to an initial-boundary value problem of 3D full compressible MHD equations

報(bào)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.

時(shí) 間：5月1日（星期三）15：00-16:00

騰訊會(huì)議ID：864-276-868

歡迎廣大師生光臨!

報(bào)告人簡(jiǎn)介

徐浩，2022年博士畢業(yè)于廈門(mén)大學(xué)，現(xiàn)為上海交通大學(xué)數(shù)學(xué)科學(xué)學(xué)院博士后，在MMMAS, JDE等期刊上發(fā)表SCI論文5篇，主持國(guó)家自然科學(xué)基金青年基金1項(xiàng)與博士后面上基金1項(xiàng)。

甘肅應(yīng)用數(shù)學(xué)中心

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級(jí)重點(diǎn)實(shí)驗(yàn)室

yl7703永利官網(wǎng)

萃英學(xué)院

2024年4月28日