四川大学学报（自然科学版）2024，Vol.61Issue(6)：31-36,6.DOI:10.19907/j.0490-6756.2024.061001
一类含加权非线性项的Moore-Gibson-Thompson方程初边值问题解的破裂
Blow-up of solution for the initial boundary value problem of Moore-Gibson-Thompson equation with weighted nonlinear term
摘要
Abstract
In this paper,the blow-up of solution for the initial boundary value problem of Moore-Gibson-Thompson equation with weighted nonlinear term on exterior domain in 3D space,i.e.,the complement of some bounded regions in 3D space,is established,where the boundary conditions are Dirichlet boundary and Neumann boundary conditions,respectively.By using the test function technique and taking advantage of it-eration method,the blow-up of solution with small initial values in the sub-critical case is established.Addi-tionally,the upper bound lifespan estimate of solution is obtained.关键词
加权非线性项/Moore-Gibson-Thompson方程初边值问题/破裂/生命跨度Key words
Weighted nonlinear term/Initial boundary value problem of Moore-Gibson-Thompson equation/Blow-up/Lifespan estimate分类
数理科学引用本文复制引用
明森,范雄梅..一类含加权非线性项的Moore-Gibson-Thompson方程初边值问题解的破裂[J].四川大学学报（自然科学版）,2024,61(6):31-36,6.基金项目
山西省基础研究计划资助项目(20210302123045,202103021223182) （20210302123045,202103021223182）
