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齐远伟教授学术讲座预告(2)

讲座题目:  Propagation of Local Disturbances in Reaction Diffusion Systems Modelling Quadratic Auto-Catalysis

讲座时间:  2016年06月8日上午9:00-11:00

讲座地点:  理学院9层学术报告厅 (914)

主讲人:  齐远伟 教授

内容摘要:  
In this talk, I show the recent work to study the propagation of initial disturbance in quadratic Auto-Catalytic chemical reaction in one-dimensional slab geometry, where two chemical species A, called reactant, and B, called auto-catalyst, are involved in the simple scheme A+B->2B. Experiments demonstrate that chemical systems, for which quadratic or cubic autocatalysis forms a key step, can support propagating chemical wave fronts. When the auto-catalyst is introduced locally into an expanse of the reactant which is initially at uniform concentration, the developing reaction is often observed to generate two wave fronts, which propagate outward from the initial reaction zone. We show rigorously that with such an initial setting the spatial region is divided into three regions by the two wave fronts. In the middle expanding region, the reactant is almost consumed so A≈0, whereas in the other two regions there is basically no reaction so B≈0. Most of the chemical reaction takes place near the wave fronts. The detailed characterization of concentrations is given for each of the three zones.
主讲简介:  
齐远伟,University of Central Florida 教授。他1982年毕业于北京大学数学系,1985年在中科院获得硕士学位,1990年在牛津大学取得博士学位,曾先后在香港科技大学、UC Santa Barbarra任教;也曾在山西大学担任山西省百人计划教授。齐教授是国际上有一定影响的偏微分方程方向的专家,自1994年以来曾多次在牛津大学、British Columbia 大学、中国科学院、清华大学等学校和科研单位进行学术交流;自1998年以来先后二十多次被邀请在世界学术会议上做邀请报告。

正文

In this talk, I show the recent work to study the propagation of initial disturbance in quadratic Auto-Catalytic chemical reaction in one-dimensional slab geometry, where two chemical species A, called reactant, and B, called auto-catalyst, are involved in the simple scheme A+B->2B. Experiments demonstrate that chemical systems, for which quadratic or cubic autocatalysis forms a key step, can support propagating chemical wave fronts. When the auto-catalyst is introduced locally into an expanse of the reactant which is initially at uniform concentration, the developing reaction is often observed to generate two wave fronts, which propagate outward from the initial reaction zone. We show rigorously that with such an initial setting the spatial region is divided into three regions by the two wave fronts. In the middle expanding region, the reactant is almost consumed so A0, whereas in the other two regions there is basically no reaction so B0. Most of the chemical reaction takes place near the wave fronts. The detailed characterization of concentrations is given for each of the three zones.



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