线性阻尼Boussinesq方程解的Phragmén-Lindelof二择一性  

Phragmén-Lindelof Alternative for Solutions of Linearly Damped Boussinesq Equation

作　　者：石金诚 SHI Jincheng(School of Date Science,Guangzhou Huashang College,Guangzhou 511300,China)

机构地区：[1]广州华商学院数据科学学院,广东广州511300

出　　处：《应用数学》2024年第2期466-475,共10页Mathematica Applicata

基　　金：国家自然科学基金项目(11371175);广东普通高校重点科研项目(自然科学)(2019KZDXM042);广州华商学院科研团队项目(2021HSKT01)。

摘　　要：研究一类含有双调和算子的双曲方程解的空间性态.利用能量方法,构造一个能量表达式,推导出该能量表达式所满足的二阶微分不等式,通过求解该不等式,得到解的Phragmén-Lindelof型的二择一结果.该结果表明,Saint-Venant原则对于线性阻尼Boussinesq方程同样适用.The spatial properties of a class of biharmonic hyperbolic equations were studied.Based on energy methods,an energy expression was constructed,and a second order differential inequality was derived for the energy expression.The Phragmén-Lindelof alternative results were obtained by solving this inequality.These results showed that the Saint-Venant Principle was also valid for the linear damped Boussinesq equation.

关 键 词：Phragmén-Lindelof二择一 双曲方程 Saint-Venant原则 双调和方程 

分 类 号：O175.29[理学—数学]