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Entire solutions for reaction-convection-diffusion equations in multiple half-lines with a junction
作者:     供圖:     日期:2020-05-29     來源:    

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),。