Shang Bin CUI (Shangbin CUI)
In this paper,we study a free boundary problem arising from the modeling of tumor growth.The problem comprises two unknown functions:R=R(t),the radius of the tumor,and u=u(r,t),the concentration of nutrient in the tumor.The function u satisfies a nonlinear reaction diffusion equation in the region 0<r<R(t),t>0,and the function R satisfies a nonlinear integrodi fferential equation containing u.Under some general conditions,we establish global existence of transient solutions,unique existence of a stationary solution,and convergence of transient solutions toward the stationary solution as t→∞.