两相连续铸钢问题非稳态解的渐近性质  

Asymptotic behavior of nonstationary solution for two-phase continuous casting problem

作　　者：王丽洁[1] 

机构地区：[1]华南师范大学数学系,广东广州510631

出　　处：《云南大学学报（自然科学版）》2006年第5期378-383,397,共7页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(10371045);广东省自然科学基金资助项目(5005930)

摘　　要：在已经证明了两相连续铸钢问题非稳态解的存在性,唯一性及周期解的存在性的基础上,进一步研究了解的渐近性质:如果边界上给出周期边界条件,则当t→+∞时初边值问题的解一致收敛到周期解.主要方法是估计未知函数的一致连续模.Based on the proved existence, uniqueness of nonstationnary solution ano existence of periodic solution for two-phase continuous casting problem, we further research the asymptotic behavior of solution. If the boundary condition is periodic then the solution of initial and boundary value problem will converges to a periodic solution as t→＋∞. The main method is to estimate the uniform norm of continuity of solution.

关 键 词：连续铸钢 周期解 渐近性质 

分 类 号：O175.29[理学—数学]