Simple Waves and a Characteristic Decomposition of the Two Dimensional Compressible Euler Equations
Simple Waves and a Characteristic Decomposition of the Two Dimensional Compressible Euler Equations
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DOI：
10.1007/s00220-006-0033-1
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发表时间：
2006-05
影响因子：
2.4
通讯作者：
Jiequan Li;Tong Zhang;Yuxi Zheng
中科院分区：
文献类型：
--
作者：
Jiequan Li;Tong Zhang;Yuxi Zheng
我们提出了自相似平面上的势流方程的特征分解。分解允许一个证明，任何波附近的一个恒定的状态是一个简单的波的绝热欧拉系统。这个结果是二维定常势流的著名结果和最近压力梯度系统的类似结果的推广。
We present a characteristic decomposition of the potential flow equation in the self-similar plane. The decomposition allows for a proof that any wave adjacent to a constant state is a simple wave for the adiabatic Euler system. This result is a generalization of the well-known result on 2-d steady potential flow and a recent similar result on the pressure gradient system.