具松弛摩阻力的动脉一维管流Cauchy问题整体经典解  

Global Classical Solutions to Cauchy Problem for One Dimensional Flow Basic Equations of Artery Vessels with Relaxation

作　　者：王磊[1] 聂大勇[2] 

机构地区：[1]郑州科技学院基础部,郑州450064 [2]黄河水利职业技术学院基础部,河南开封475000

出　　处：《河南师范大学学报（自然科学版）》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)

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＂.

关 键 词：张弛 动脉一维管流方程组 整体经典解 CAUCHY问题 

分 类 号：O175.27[理学—数学] O332[理学—基础数学]