数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (1): 22-34.
易法槐
Yi Fahuai
摘要: In this paper we consider an evolutionary continuous casting problem with convection
∂tx+b∂yx-△k(u)+v·▽u=0 coupled with Stokes equation in the liquid phase
∂tv-ν△v+▽p=f(u) The mixed boundary condition is put on temprature. The existence of a weak solution is obtained by using methods of regularization, temperature dependent penalty form in the Stokes equation and compact arguments.