Nonlocal Stefan problem

主講人：李芳 中山大學(xué)副教授

時間：2023年11月2日14：00

地點：三號樓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)于美國明尼蘇達大學(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，關(guān)注反應(yīng)擴散方程中的非局部效應(yīng)等相關(guān)問題。曾主持國家自然科學(xué)基金青年項目、上海市浦江人才計劃項目、上海市自然科學(xué)基金面上項目、廣東省自然科學(xué)基金面上項目，曾參與國家自然科學(xué)基金重點項目?，F(xiàn)主持國家自然科學(xué)基金面上項目和參與數(shù)學(xué)天元基金重點專項。研究成果發(fā)表在J. Math. Pures Appl., J. Funct. Anal., Calc. Var. PDE，Indiana Univ. Math. J.等國際數(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.