具有线性阻尼Boussinesq方程解的空间衰减估计  

Spatial Decay Estimates for Linear Damped Boussinesq Equation

作　　者：石金诚 肖胜中[2] SHI Jin-cheng;XIAO Sheng-zhong(School of Date Science,Guangzhou Huashang College,Guangzhou 511300,China;Foundation Department,Guangdong AIB Polytechnic College,Guangzhou 510507,China)

机构地区：[1]广州华商学院数据科学学院,广东广州511300 [2]广东农工商职业技术学院基础部,广东广州510507

出　　处：《数学的实践与认识》2023年第12期189-196,共8页Mathematics in Practice and Theory

基　　金：广州华商学院校内导师制项目(2020HSDS16);广东普通高校重点科研项目(自然科学)(2019KZ DXM042);国家自然科学基金(11371175);广东省普通高校人文社会科学研究青年创新人才项目(自然科学)(2017KQNCX265)。

摘　　要：研究了一类四阶双曲型方程解的空间衰减估计.首先构造方程解的表达式,其次结合截面线积分和面积积分,并利用微分不等式的方法,推导出该表达式的相关估计,最后得到方程解的空间衰减估计.The spatial decay estimates of solutions for a class of fourth order hyperbolic equations are studied.Firstly,the expression of the solution of the equation is constructed.Secondly,by combining the section line integral and area integral,and using the method of differential inequality,the correlation estimate of the expression is derived.Finally,the spatial decay estimate of the solution of the equation is obtained.

关 键 词：空间衰减估计 双曲方程 Saint-Venant原则 双调和方程 

分 类 号：O175[理学—数学]