應yl7703永利官網(wǎng)王智誠教授和張亮教授的邀請,中國科技大學金祝成博士將于2024年5月7日-9日訪問蘭州大學,期間于5月8日舉辦專題學術(shù)報告。
報告題目:Propagation phenomena in nonautonomous Fisher-KPP equations with nonlocal diffusion
時 間:5月8日上午9:00
地 點:騰訊會議 336-255-228
報告摘要:In this talk, we aim to understand and to describe the propagation phenomena generating from Fisher-KPP equations with nonlocal diffusion in general time heterogeneous media. The propagation phenomena can be mathematically quantified by two notions: traveling waves and spreading speeds. We first study generalized travelling waves for equations with general time heterogeneities both for the dispersal kernel and the reaction term. We investigate the existence and nonexistence of generalized travelling waves for such a problem. Under certain assumptions, we derive a sharp estimate for the average speed functions of generalized traveling waves. Next we show the exact spreading speeds for a nonlocal diffusion KPP equation equipped with compactly supported initial data. We use some ideas from the uniform persistence theory in dynamical systems.
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報告人簡介
金祝成,中國科學技術(shù)大學博士后研究員,博士畢業(yè)于法國諾曼底勒阿弗爾大學。研究興趣為反應擴散系統(tǒng)的傳播現(xiàn)象及其在生物學中的應用,主要關(guān)注非均勻環(huán)境、非局部擴散以及捕食食餌系統(tǒng)中的傳播動力學。相關(guān)研究成果在JDE、JNS等雜志發(fā)表。
甘肅應用數(shù)學中心
yl7703永利官網(wǎng)
萃英學院
2024年5月6日