Protocells自由边界生长模型的适定性  

Well-posedness for a Free Boundary Problem Modeling Protocells

作　　者：柏萌[1] 崔尚斌[1] 

机构地区：[1]中山大学数学与计算科学学院,广东广州510275

出　　处：《中山大学学报（自然科学版）》2009年第4期11-14,共4页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金资助项目(10771223)

摘　　要：研究模拟protocells生长的自由边界问题,此问题中控制自由边界Ω(t)移动的演化方程为Vn=-v n-βv,其中Vn表示边界Ω(t)的法向速度,v为构造物质的密度,β为正常数。在1999年,Cu i和Friedm an已研究了此问题径向对称的情况。主要针对径向不对称的情况。利用Banach空间中抛物方程的抽象理论证明此问题在little H lder空间是局部适定的。A free boundary problem modeling the growth of protocells is studied, in which the evolution equation governing the motion of the free boundary aΩ（t） is given by Vn=av/an-βv, where Vn denotesthe normal velocity of aΩ（t） , v is the density of the building material, andβ is a positive constant. The radially symmetric case of this problem was previously studied by Cui and Friedman in 1999. The general radially non-symmetric case is studied. With the abstract theory for parabolic differential equations in Banach spaces, the free boundary problem is locally well-posed in little Holder spaces is proved.

关 键 词：自由边界问题 PROTOCELLS 适定性 

分 类 号：O175[理学—数学]