具常重特征的拟线性双曲组的经典解的奇性形成

The formation of singularity for the classical solutions to the quasilinear hyperbolic systems with characteristics with constant multiplicity

考虑具常重特征的拟线性双曲组的Cauchy问题.在仅要求常重特征在u=0为线性退化的假设下,减弱初值的衰减性,得到解的破裂结果以及生命跨度的精确估计.

This paper considered the Cauchy problem of quasilinear hyperbolic systems with constant multiplicity characteristics.Under the assumption that constant multiplicity characteristics are linear degeneracy in u=0,this paper weaken decaying initial date and obtained a blow-up result and the life-span of the solution.