相互作用波动方程组整体解的爆破性

On Blow-up of Globle Solutions for Interaction Waves

利用能量守恒定律和积分不等式技巧,讨论了相互作用波动方程组utt-Δ(u+v)=f(u,v), vtt-Δ(u+v)=g(u,v), t>0,x∈Ω整体解的爆破性,得到了关于系统爆破性的一些性质,并给出了blow up时间的一个界.

In this paper, the problem on blowup of globle solutions for interaction wavesutt-Δ(u+v)=f(u,v), t>0, x∈Ω, vtt-Δ(u+v)=g(u,v), t>0, x∈Ωis discussed by introducing energy conservation laws and integral inequalities. Some properties of blowup and an estimate of the blowup time are obstained.