带组合非线性项的双波动方程耦合系统解的破裂OA
Blow-up of solutions to a coupled system of double wave equations with combined nonlinearities
本文研究了一类带组合非线性项与小初值的双波动方程耦合方程组的Cauchy问题解的破裂性态.通过构造泛函,建立泛函的下界估计,运用迭代方法,在次临界情形得到解的破裂,进而建立解的生命跨度的上界估计.
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.
阎金芳;明森;韩伟
中北大学数学学院,太原 030051中北大学数学学院,太原 030051中北大学数学学院,太原 030051
数理科学
组合非线性项双波动方程组迭代方法破裂生命跨度估计
combined nonlinearitiescoupled double wave equationsiteration approachblow-uplifespan estimate
《华中师范大学学报（自然科学版）》 2026 (3)
485-492,8
山西省基础研究计划项目(20210302123045).
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