摘要
1. Introduction Fluid flow in a pipe is usually modeled by the quasilinear hyperbolic system where ρ is mass density, G is momentum density, p=p(ρ) is pressure such that p’ (ρ)>0 for 0<ρ<∞, f=f(|G|) is the Moody friction factor and D is pipe diameter (see [5] for detail).
基金
This paper is supported by National science fundation of China.
