Mixed Elastico-Plasticity Problems with Partially Unknown Boundaries  

作　　者：Zuo-liang Xu 

机构地区：[1]School of Information, Renmin University of China, Beijing 100872, China

出　　处：《Acta Mathematicae Applicatae Sinica》2007年第4期629-636,共8页应用数学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.10471149,10671207);the Postdoctoral Science Foundation of China(No.2005037447)

摘　　要：In this paper, we study mixed elastico-plasticity problems in which part of the boundary is known, while the other part of the boundary is unknown and is a free boundary. Under certain conditions, this problem can be transformed into a Riemann-Hilbert boundary value problem for analytic functions and a mixed boundary value problem for complex equations. Using the theory of generalized analytic functions, the solvability of the problem is discussed.In this paper, we study mixed elastico-plasticity problems in which part of the boundary is known, while the other part of the boundary is unknown and is a free boundary. Under certain conditions, this problem can be transformed into a Riemann-Hilbert boundary value problem for analytic functions and a mixed boundary value problem for complex equations. Using the theory of generalized analytic functions, the solvability of the problem is discussed.

关 键 词：Mixed elastico-plasticity problems generalized analytic functions unknown boundaries 

分 类 号：O174[理学—数学]