MOTIONS OF CURVES IN THE GALILEAN SPACE G_3

作     者：Ufuk OZTURK Suleyman CENGIZ Esra Betul KOC OZTURK 

作者机构：Department of Mathematics Faculty of Science ank?r? Karatekin University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2015年第35卷第5期

页      面：1046-1054页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Galilean geometry equiform geometry motions of curves inextensible flows Burgers' equation Frenet frames 

摘      要：In this article, we study the flows of curves in the Galilean 3-space and its equiform geometry without any constraints. We find that the Frenet equations and the intrinsic quantities of the inelastic flows of curves are independent of time. We show that the motion of curves in the Galilean 3-space and its equiform geometry are described by the inviscid and viscous Burgers＇ equations.