應(yīng)yl7703永利官網(wǎng)王躍循教授邀請(qǐng)，華南師范大學(xué)華南數(shù)學(xué)應(yīng)用與交叉研究中心李進(jìn)開(kāi)教授將于2021年5月12日-5月14日訪問(wèn)蘭州大學(xué)，期間將舉辦專題學(xué)術(shù)報(bào)告。

報(bào)告題目:Commutator estimates on bounded domains and applications to IBVP to compressible Navier-Stokes equations

報(bào)告摘要：In this talk, we will present estimates on two kinds of commutators defined on bounded domains: one is a natural extension in the case of general bounded domains of the classic Riesz commutator and the other is that of the spatial derivatives with the solution mapping of the co-normal derivative problem of the Laplacian. These two kinds of commutators arise in studying the IBVP to the compressible Navier-Stokes equations with Navier slip boundary conditions. As an application of these commutator estimates as well as a BMO estimate for the gradient of solutions to the Lame system subject to the Navier slip boundary conditions, we establish the global well-posedness of strong solutions to the isentropic compressible Navier-Stokes equations with general Navier slip boundary conditions on general boundary domains, under the condition that the initial energy is small. The initial vacuum is allowed.

時(shí) 間：5月13日（星期四）10：00

地 點(diǎn)：理工樓518

歡迎廣大師生光臨!

李進(jìn)開(kāi)教授簡(jiǎn)介

李進(jìn)開(kāi)，華南師范大學(xué)華南數(shù)學(xué)應(yīng)用與交叉研究中心教授，博士生導(dǎo)師，國(guó)家特聘青年專家，曾獲得“2020世界華人數(shù)學(xué)家聯(lián)盟最佳論文獎(jiǎng)”金獎(jiǎng)（2020 ICCM Best Paper Award）以及“第二屆中國(guó)科協(xié)優(yōu)秀科技論文”獎(jiǎng)。主要從事流體動(dòng)力學(xué)方程方面的研究，主要包括大氣海洋動(dòng)力學(xué)偏微分方程（以Primitive Equations為代表）、Navier-Stokes方程組、復(fù)雜流體等。目前已在包括CPAM, Adv. Math, JFA, ARMA, CPDE, SIMA等國(guó)際學(xué)術(shù)期刊上發(fā)表論文多篇，主持國(guó)家自然科學(xué)基金面上項(xiàng)目1項(xiàng)及省部級(jí)基金3項(xiàng)。

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

2021年5月10日