摘要
讨论具松弛项摩阻力的动脉一维管流方程组Cauchy问题,在"小"初值的假设条件下,利用局部解延拓的方法证明了其经典解的整体存在性,所得的结果丰富了动脉一维管流的具体成果,也说明了松弛在保持"小解"光滑性意义下具有耗散效应.
In this article, we deal with the Cauchy problem for 1-D flow basic equations of artery vessles with relaxation, under certain assumptions on small initial data, the global resolvability for classical solutions is obtained by extension method of local solution, the results rich the examples of artery vessles, and indicate that relaxation is provided with the effect of dissipation in preserving smoothness of ＂small solutions＂.
出处
《河南师范大学学报（自然科学版）》
CAS
北大核心
2014年第5期29-33,64,共6页
Journal of Henan Normal University(Natural Science Edition)
基金
河南省教育厅科技攻关项目(14A520014)
关键词
张弛
动脉一维管流方程组
整体经典解
CAUCHY问题
relaxation
1-D flow basic equations of artery vessles
global classical solutions
Cauchy problem
