在二维空间中建立了一类具临界幂的非线性耦合波动系统爆破解的存在性.并进一步研究爆破解的定性行为,得到爆破解的L~2集中性质.

We show the existence of blow-up solutions for a coupled nonlinear wave system with critical power in dimension two.Furthermore,we study the qualitative property of the blow-up solutions,and prove that the blow-up solutions have L~2 con- centration property.