THE EXISTENCE OF A BOUNDED INVARIANT REGION FOR COMPRESSIBLE EULER EQUATIONS IN DIFFERENT GAS STATES

• 作者: Weifeng JIANG Zhen WANG
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 1229-1239
• 页数: 11页
• 语种: 英文

摘要

In this article,by the mean-integral of the conserved quantity,we prove that the one-dimensional non-isentropic gas dynamic equations in an ideal gas state do not possess a bounded invariant region.Moreover,we obtain a necessary condition on the state equations for the existence of an invariant region for a non-isentropic process.Finally,we provide a mathematical example showing that with a special state equation,a bounded invariant region for the non-isentropic process may exist.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Weifeng JIANG		1	0	0.0	0.0
2	Zhen WANG		1	0	0.0	0.0