具记忆项的热弹耦合梁方程组的整体解  

The Global Solution for Memories Term of Thermoelastic Coupled Beam Equations

作　　者：张文林[1] 张慧愿 宁宝权[1] 张府柱[1] ZHANG Wen-lin;ZHANG Hui-yuan;NING Bao-quan;ZHANG Fu-zhu(Liupanshui Normal University,Liupanshui 553001,China)

机构地区：[1]六盘水师范学院,贵州六盘水553001

出　　处：《六盘水师范学院学报》2017年第3期36-39,共4页Journal of Liupanshui Normal University

基　　金：贵州省教育厅基金(黔教合KY字【2016】265号;黔教合KY字【2016】271号;黔教合KY字【2016】103号);六盘水师范学院科学研究计划项目(LPSSY201503);六盘水师范学院校级基金项目(LPSSYDXS1601);贵州省教改项目(GZSJG10977201505)

摘　　要：基于同时考虑具有非线性项和记忆项的热弹耦合梁方程的初边值问题,在非线性项和记忆项满足一定的条件下,利用Faedo-Galerkin方法得到了方程的弱解和强解的整体存在性,为其在力学上的研究提供理论依据。We consider the initial-bou ndary value problem of nonlinear term and memory term of thermoelastic coupled beam equations.Under the certain conditions of the nonlinear term and memory term,we obtained the equation of the global existence of the weak and strong solutions by using Faedo-Galerkin method,which provides a theoretical basis for the study of mechanics.

关 键 词：热弹耦合梁方程 记忆项 GALERKIN方法 整体解 

分 类 号：O175[理学—数学]