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<正> 1.引言 近年来,人们采用了不定常气流方程来计算定常的跨音速气流,取得了一定的成效.在这种计算中,混合型方程组的解被看成为多一个自变量的双曲型方程组解的极限.这启发我们去研究系数和t无关的双曲型方程组的解当t趋向无限时的渐近行为.在本文中,我们利用2]中的结果,先考虑拟线性对称双曲型方程组,以方程组的充分正为代价,对初始条件作了某些限制以后,证明了这种方程组的混合问题的整体解的存在性.然

SOME GLOBAL SOLUTIONS OF QUASILINEAR HYPERBOLIC SYMMETRIS SYSTEMS AND THEIR ASYMPTOTIC BEHAVIOR

Certain initial-boundary value problems for quasilinear hyperbolie symmetrie systems of PDE are eonsidered. The eoeffieients of the systems are independent of the time variable. It is proved that if the system is sufficiently positive a global solution of the problem exists and that the solution tends to the solution of the eorresponding stationary boundary value problem as t→∞.