Boundary Layer to a System of Viscous Hyperbolic Conservation Laws

在这篇论文，我们调查 n × n 的起始边界的值问题的答案的大时间的行为有在一半的人工的粘性的能量守恒定律的夸张系统线(0， ∞ ) 。如果相应夸张部分以否定繁殖速度包含至少一块典型的地，我们首先证明边界层存在。我们推进如此的边界层是的表演非在小起始的不安下面线性地稳定。证明被一个基本精力方法给。

In this paper, we investigate the large-time behavior of solutions to the initial-boundary value problem for n × n hyperbolic system of conservation laws with artificial viscosity in the half line （0, ∞）. We first show that a boundary layer exists if the corresponding hyperbolic part contains at least one characteristic field with negative propagation speed. We further show that such boundary layer is nonlinearly stable under small initial perturbation. The proofs are given by an elementary energy method.