华中师范大学学报(自然科学版)2026,Vol.60Issue(3):485-492,8.DOI:10.19603/j.cnki.1000-1190.2026.03.013
带组合非线性项的双波动方程耦合系统解的破裂
Blow-up of solutions to a coupled system of double wave equations with combined nonlinearities
摘要
Abstract
This paper aims to investigate blow-up dynamics of solutions to the small data Cauchy problem for a coupled system of double wave equations with combined nonlinearities.By establishing lower bound estimates of the constructed functionals and using iteration method,blow-up and upper bound lifespan estimate of solutions in the sub-critical case was deduced.关键词
组合非线性项/双波动方程组/迭代方法/破裂/生命跨度估计Key words
combined nonlinearities/coupled double wave equations/iteration approach/blow-up/lifespan estimate分类
数理科学引用本文复制引用
阎金芳,明森,韩伟..带组合非线性项的双波动方程耦合系统解的破裂[J].华中师范大学学报(自然科学版),2026,60(3):485-492,8.基金项目
山西省基础研究计划项目(20210302123045). (20210302123045)