Lax可容许区域上的波流形分解
Decomposition of the wave manifold in Lax admissible regions
摘要：
在几何背景下构造了二次守恒律系统黎曼问题的局部解.本文也对二次系统，将特征面和声速面分解为慢分量和快分量，将波流形分解为允许区域和非允许区域，允许区域有局部激波曲线弧和非局部激波曲线弧。这类区域对于构造黎曼问题的非局部解是非常重要的。我们的研究仅限于Sheaffer-Shearer分类中的对称情况IV。
英文摘要：
Local solutions of Riemann problems for quadratic systems of two conservation laws were constructed in the geometric context. In this paper, also for quadratic systems, we decompose the characteristic and sonic' surfaces in their slow and fast components.These decompositions allow to decompose the wave manifold in regions called admissible region and non admissible region.There are admissible regions having local shock curve arcs and non local shock curve arcs. Such regions are important to construct non local solutions of Riemann problems. Our study is restricted to the symmetric Case IV in the Sheaffer-Shearer classification.
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