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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
【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.
【Abstract】 Based on the proved existence,uniqueness of nonstationnary solution and 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.
【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)
- 【文献出处】 云南大学学报(自然科学版) ,Journal of Yunnan University(Natural Sciences Edition) , 编辑部邮箱 ,2006年05期
- 【分类号】O175.2
- 【下载频次】18