應(yīng)yl7703永利官網(wǎng)李萬同教授和王賓國教授的邀請,哈爾濱工業(yè)大學(xué)王明新教授將于2021年6月28日-6月30日與我校有關(guān)師生進(jìn)行在線學(xué)術(shù)研討,其中6月28日舉行線上專題學(xué)術(shù)報(bào)告。
報(bào)告題目:Sharp estimates for a nonlocal diffusion problem with a free boundary
報(bào)告摘要:In this talk, we proceed to study the nonlocal diffusion problem proposed by Li and Wang (2021, arXiv:2105.13056), where the left boundary is fixed, while the right boundary is a nonlocal free boundary. We first give some accurate estimates on the longtime behavior by constructing lower solutions, and then investigate the limiting profiles of this problem when the expanding coefficient of free boundary converges to $0$ and $\yy$, respectively. At last, we focus on two important kinds of kernel functions, one of which is compactly supported and the other behaves like $|x|^{-\gamma}$ with $\gamma\in(1,2]$ near infinity. With the help of some upper and lower solutions, we obtain some sharp estimates on the longtime behavior and rate of accelerated spreading.
時(shí) 間:6月28日上午11:00.
地 點(diǎn):騰訊會議ID:694 8382 5110
歡迎廣大師生光臨!
王明新教授簡介
王明新,教授,哈爾濱工業(yè)大學(xué)理學(xué)研究中心特聘教授、二級教授、博士生導(dǎo)師。河南省優(yōu)秀專家稱號及國務(wù)院政府特殊津貼獲得者。1990年獲得北京理工大學(xué)理學(xué)博士學(xué)位,1990-1994年在中國科學(xué)院從事博士后研究,1994.8-2009.9, 東南大學(xué)數(shù)學(xué)系二級教授, 特聘教授, 博士生導(dǎo)師, 江蘇省數(shù)學(xué)學(xué)會副理事長,理學(xué)院副院長, 應(yīng)用數(shù)學(xué)研究所所長, 應(yīng)用數(shù)學(xué)碩士點(diǎn)和應(yīng)用數(shù)學(xué)博士點(diǎn)學(xué)科負(fù)責(zé)人, 江蘇省重點(diǎn)學(xué)科“應(yīng)用數(shù)學(xué)”首席科學(xué)家。現(xiàn)為《應(yīng)用數(shù)學(xué)》,《Advances in Differential Equations and Control Process》,《International Journal of Differential Equations》,《Advances in Pure Mathematics (APM)》,《理論數(shù)學(xué)》雜志編委,《Math. Review》評論員。已在Proc. London Math. Soc.,Trans. Amer. Math. Soc., Indiana Univ. Math. J., SIAM J. Math. Anal., SIAM J. Appl. Math.等國際著名學(xué)術(shù)期刊上發(fā)表論文兩百余篇,同時(shí)還在科學(xué)出版社、高等教育出版社、清華大學(xué)出版社出版科技專著十部(七部為獨(dú)著)。研究工作得到多項(xiàng)國家自然科學(xué)基金資助(主持七項(xiàng),參與一項(xiàng)重點(diǎn)項(xiàng)目),并獲得四項(xiàng)省部級科技獎。
甘肅應(yīng)用數(shù)學(xué)中心
萃英學(xué)院
甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級重點(diǎn)實(shí)驗(yàn)室
yl7703永利官網(wǎng)
2021年6月25日