講座主題：Entire solutions for reaction-convection-diffusion equations in multiple half-lines with a junction
主講人：劉乃偉
工作單位：煙臺(tái)大學(xué)
活動(dòng)時(shí)間：2019年6月1日（周一）下午14:00-14:30
講座地點(diǎn)：騰訊會(huì)議ID：448374359
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
We deal with entire solutions of bistable reaction–convection–diffusion equation in multiple half-lines with a junction. By characterizing the asymptotic behavior of the front waves as t→?∞ and constructing appropriate sub-solutions and super-solutions, we establish new type of entire solutions, and prove that these entire solutions converge to the front waves in some of half-lines and converge to zero in the remaining half-lines as t→?∞. We also consider the stability of the entire solutions.
主講人介紹：
劉乃偉，副教授，主要從事高維空間反應(yīng)對(duì)流擴(kuò)散方程行波解與整體解的存在性以及漸近行為等方面的研究，主要涉及行波解行波解的漸近行為與穩(wěn)定性、行波解之間的交互作用。目前已在《 J. Differential Equations》、《J. Math. Pures Appl.》、《Nonlinear Analysis》、《Science in China Series A: Mathematics》、《Acta Mathematica Sinica, English Series》、《Electronic J. Differential Equations》及《Electronic J. Qualitative Theory of Differential Equations》等學(xué)術(shù)期刊發(fā)表SCI收錄學(xué)術(shù)論文10余篇。主持完成國(guó)家自然科學(xué)基金青年基金1項(xiàng)，數(shù)學(xué)天元基金1項(xiàng)，山東省自然科學(xué)基金青年基金1項(xiàng)，獲博士后面上資助1項(xiàng)，在研山東省自然科學(xué)基金面上項(xiàng)目1項(xiàng)。
