守恒型Hsieh方程解的衰减率估计  

Decay Rates of Solutions to Conservative Form of Hsieh’s Equation

作　　者：樊龙 涂雨秋 FAN Long;TROUBA Nafissa Toureche(School of Mathematics and Statistics,Shanxi Datong University,Datong 037009,China;Faculty of Science and Technology,University of Ahmed DRAIA,Adrar 01000,Algeria)

机构地区：[1]山西大同大学数学与统计学院,山西大同037009 [2]艾哈迈德德里亚大学科技学院,阿尔及利亚阿德拉尔01000

出　　处：《应用数学》2024年第3期877-884,共8页Mathematica Applicata

基　　金：the National Natural Science Foundation of China(12201368);Shanxi Datong University,Dr.Scientific Research Fund(2021-B-09);Shanxi Provincial Department of Education Technology Innovation Fund projects(2021L381)。

摘　　要：本文主要研究一类守恒型Hsieh方程解的衰减率.通过构造矫正函数以及采用能量积分方法,可得该方程的解在时间t趋于无穷时指数衰减到0.The main work of this paper is to study the decay rates of the solutions to the Cauchy problem of conservative form of Hsieh’s equation.By constructing the correcting function and using energy estimates,we obtain the result that the solutions to the Cauchy problem decay to 0 as t goes to infinity exponentially.

关 键 词：Hsieh方程 守恒形式 衰减率 能量估计 

分 类 号：O175[理学—数学]