Travelling waves of auto-catalytic chemical reaction of gene

标题: Travelling waves of auto-catalytic chemical reaction of general order 

主讲人: Professor Yuanwei Qi, University of Central Florida, Orlando, FL 32816, United States 

简介: In this talk we study the existence and non-existence of travelling wave to parabolic system a degenerate nonlinearity (auto-catalytic chemical reaction). Explicit bounds are derived. Furthermore, the necessary and sufficient condition is obtained for the existence of travelling wave solutions. The related estimates improve significantly that of early works. Another case in which two different orders of isothermal auto-catalytic chemical reactions are involved is also studied with interesting new results proved.