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Propagation phenomenon in a diffusion system with the Belousov-Zhabotinskii chemical reaction

發(fā)布者:文明辦發(fā)布時(shí)間:2022-09-15瀏覽次數(shù):656


主講人:王智誠(chéng) 蘭州大學(xué)教授


時(shí)間:2022年9月16日9:30


地點(diǎn):騰訊會(huì)議 742 224 834


舉辦單位:數(shù)理學(xué)院


主講人介紹:王智誠(chéng),蘭州大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院教授,博士生導(dǎo)師。1994年本科畢業(yè)于西北師范大學(xué),2007年在蘭州大學(xué)獲理學(xué)博士學(xué)位。在Trans. AMS、Arch. Rational Mech. Anal.、SIAM J. Math. Anal.、SIAM J. Appl. Math.、JMPA、Calc. Var. PDE、JDE、JDDE、Nonlinearity等雜志發(fā)表SCI論文90多篇。2011和2019年分別獲得甘肅省自然科學(xué)二等獎(jiǎng),主持完成兩項(xiàng)國(guó)家自然科學(xué)基金面上項(xiàng)目以及教育部博士點(diǎn)基金等多項(xiàng)省部級(jí)項(xiàng)目,正在主持一項(xiàng)甘肅省基礎(chǔ)研究創(chuàng)新群體項(xiàng)目、一項(xiàng)國(guó)家自然科學(xué)基金面上項(xiàng)目并參加一項(xiàng)國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目。目前擔(dān)任兩個(gè)SCI雜志International  J.  Bifurc. Chaos 和Mathematical Biosciences and Engineering (MBE) 的編委(Associate editor)


內(nèi)容介紹:This talk is concerned with propagation phenomena in a diffusion system with the Belousov-Zhabotinskii chemical reaction in high-dimentional space. We first show that the system admits V-shaped traveling fronts in $\R^2$. Then using the V-shaped traveling fronts, we show that there exists a new type of entire solution originated from three moving planar traveling fronts, and evolved to a V-shaped traveling front as time changes. Finally, we show that all the transition fronts of the system in $\R^N$ share the same global mean speed by constructing suitable radially symmetric expanding and retracting sub-super solutions.