主講人：朱長(zhǎng)江  華南理工大學(xué)教授

時(shí)間：2021年11月22日9：00

地點(diǎn)：騰訊會(huì)議 317 742 351

舉辦單位：數(shù)理學(xué)院

主講人介紹：朱長(zhǎng)江，博士，華南理工大學(xué)教授、博士生導(dǎo)師，國(guó)際數(shù)學(xué)學(xué)術(shù)期刊《Kinetic and Related  Models》、《ISRN Mathematical Analysis》、《Acta Mathematica  Scientia》、《數(shù)學(xué)物理學(xué)報(bào)》等雜志編委，《數(shù)學(xué)教育學(xué)報(bào)》副主編，教育部高等學(xué)校數(shù)學(xué)類(lèi)教學(xué)指導(dǎo)委員會(huì)委員，教育部“創(chuàng)新團(tuán)隊(duì)發(fā)展計(jì)劃”、國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目、國(guó)家級(jí)教學(xué)團(tuán)隊(duì)、國(guó)家級(jí)一流本科專(zhuān)業(yè)、國(guó)家級(jí)精品課程、精品資源共享課程和一流本科課程負(fù)責(zé)人，全國(guó)百篇優(yōu)秀博士學(xué)位論文指導(dǎo)教師。主持完成的研究成果獲教育部自然科學(xué)獎(jiǎng)二等獎(jiǎng)，教學(xué)成果兩次獲國(guó)家級(jí)教學(xué)成果獎(jiǎng)二等獎(jiǎng)。2012年被評(píng)為全國(guó)優(yōu)秀科技工作者，2017年入選國(guó)家“萬(wàn)人計(jì)劃”教學(xué)名師，2020年獲中國(guó)教師發(fā)展基金會(huì)杰出教學(xué)獎(jiǎng)。  

內(nèi)容介紹：In this paper, we consider the large time behavior of the weak solution to the  free boundary problem for one-dimensional isentropic compressible Navier-Stokes  equations with degenerate viscosity and vacuum. Under appropriate smallness  conditions on the initial data (initial energy), we give the optimal decay rate  of the density function along with the behavior of it near the vacuum interfaces  is studied. In the meanwhile, we obtain also sharper decay rates for the norms  in terms of the velocity function. The key is to establish some new  global-in-time weighted estimates (both in time and space) uniformly up to the  vacuum boundary. This is a joint work with Guangyi Hong.