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
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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.