数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (4): 406-414.
朱长江, 赵会江
Zhu Changjiang, Zhao Huljiang
摘要: This paper considers the Cauchy problem of the following convection diffusion system
(vu)t+(1)/2(bu2+2uvau2+2buv+v2)x+(g(u,v)f(u,v))=ε(vu)xx, with initial data
(vu)|t=0=(v0(x)u0(x)). A global existence result is established by employing the techniques of F. B. Weissler and the energy method. Here a,b,ε > 0 are constants.