高维拟线性双曲型方程组的对角化问题

本文讨论了高维一阶拟线性方程组可对角化的条件，并给出其在二维等熵流方程组、三维空气动力学方程组及具有旋转对称性的守恒律组等情形的应用；然后给出了高维拟线性对角型方程组Ｃａｕｃｈｙ问题存在整体经典解的一个充要条件，并给出其应用。

DIAGONALIZATION OF HIGHER DIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS

In this paper, the author deals with the diagonalizable condition for higer dimensional quasilinear hyperbolic systems of first order, and gives some applications on the systems of two-dimensional inmentroplc flow, the systems of gas dynamic and the systems of conservation laws with rotational invarlance; In Sect. 3, we give a necessary and sufficient condition on global smooth solution for Cauchy problem of higher dimensional quasilinear hyperbolic systems in diagonal form, and give its application.