一类燃烧模型方程组的整体经典解

Classical Solutions for A Class of Combustion Model Equations

燃烧模型是拟线性双曲方程组中一类重要的物理模型.考虑燃烧模型方程组的Cauchy问题,利用特征线和局部经典解延拓的方法证明了经典解的整体存在性.

Combustion model is an important physical model in quasilinear hyperbolic equations.Cauchy problem for combustion model equations,was considered and the global existence of classical solutions was proved by using the method of characteristics and local extension of classical solution.