報(bào)告題目：Fujita-Kato solution for the 3D viscous compressible pressureless flow with discontinuous and large-variation density

報(bào) 告 人：徐夫義

報(bào)告時(shí)間：2025年5月21日 15：00

報(bào)告地點(diǎn)： 蓮花街校區(qū)惟德樓315會(huì)議室

報(bào)告人簡(jiǎn)介：

徐夫義，山東理工大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院副院長(zhǎng)，教授，博士生導(dǎo)師。2013年7月畢業(yè)于北京航空航天大學(xué)數(shù)學(xué)與系統(tǒng)科學(xué)學(xué)院，獲理學(xué)博士學(xué)位，主要從事流體動(dòng)力學(xué)方程相關(guān)問(wèn)題的研究?，F(xiàn)為中國(guó)高等教育學(xué)會(huì)教育數(shù)學(xué)專(zhuān)業(yè)委員會(huì)理事。主持完成國(guó)家自然科學(xué)基金2項(xiàng)，省部級(jí)項(xiàng)目5項(xiàng)。已在Cal. Var. PDEs，Commun. Contemp. Math.，Nonlinearity，J. Differential Equations，J. Math. Fluid Mech.， Dynamics of PDE，中國(guó)科學(xué).數(shù)學(xué)等國(guó)內(nèi)外知名學(xué)術(shù)期刊發(fā)表SCI檢索50余篇。

報(bào)告內(nèi)容簡(jiǎn)介：In this talk, we are concerned with the Cauchy problem for the tridimensional pressureless gases system arising from models of collective behavior. Our objective is to construct the global existence and uniqueness of the so-called Fujita-Kato solution to the system, specifically in the case where the initial densityρ_0 is discontinuous and the initial velocity u_0 has critical regularity. Unlike previous works, the key advancement here is how to deal with the discontinuous density with large-variation. This is a joint work with Xiaojie. Wang and Jiahong. Wu.

歡迎廣大師生參加！

數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
2025年5月19日