主講人：李芳 中山大學(xué)副教授
時(shí)間：2023年11月2日14：00
地點(diǎn)：三號(hào)樓332室
舉辦單位：數(shù)理學(xué)院
主講人介紹：李芳，本科畢業(yè)于浙江大學(xué)，博士畢業(yè)于美國(guó)明尼蘇達(dá)大學(xué)?，F(xiàn)在中山大學(xué)數(shù)學(xué)學(xué)院工作，副教授，博士生導(dǎo)師。主要研究非線(xiàn)性橢圓和拋物方程(組)。這些方程(組)涉及生物、化學(xué)、材料等很多科學(xué)領(lǐng)域。近年來(lái)，關(guān)注反應(yīng)擴(kuò)散方程中的非局部效應(yīng)等相關(guān)問(wèn)題。曾主持國(guó)家自然科學(xué)基金青年項(xiàng)目、上海市浦江人才計(jì)劃項(xiàng)目、上海市自然科學(xué)基金面上項(xiàng)目、廣東省自然科學(xué)基金面上項(xiàng)目，曾參與國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目?，F(xiàn)主持國(guó)家自然科學(xué)基金面上項(xiàng)目和參與數(shù)學(xué)天元基金重點(diǎn)專(zhuān)項(xiàng)。研究成果發(fā)表在J. Math. Pures Appl., J. Funct. Anal., Calc. Var. PDE，Indiana Univ. Math. J.等國(guó)際數(shù)學(xué)期刊上。
內(nèi)容介紹：Nonlocal diffusion is introduced to describe the movement or interaction of some organisms between non-adjacent spatial locations. In this talk, we study the nonlocal version of the classical Stefan problem. We first demonstrate the wellposedness and the convergence between nonlocal Stefan problem and classical Stefan problem. Next, we construct some examples to demonstrate some new phenomena due to the appearance of nonlocal diffusion, like the discontinuous movement of population range. At the end, the spreading/vanishing phenomena is discussed when reaction term is introduced. This is joint work with Xinfu Chen and Maolin Zhou.