A note on characteristic decomposition for two-dimensional Euler system in van der Waals fluids

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• 作者：M. Zafar ^{zafar@math.iitb.ac.in" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Simple wave ; Riemann invariant ; Euler system ; Characteristic decomposition ; Van der Waals fluid
• 刊名：International Journal of Non-Linear Mechanics
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：86
• 期：Complete
• 页码：33-36
• 全文大小：358 K

文摘

This paper is devoted to the generalization of a well-known result on reducible equations by Courant and Friedrichs [7] and a motivational result on compressible Euler system within the context of ideal gases by Li et al. [10]. The characteristic decomposition technique has been used to prove that any hyperbolic state, adjacent to a constant state, is simple for a pseudo-steady isentropic irrotational flow, modeled by Euler equations, in van der Waals fluids. Furthermore, this result is extended to full Euler system in self-similar coordinates provided the pseudo-flow characteristics are extending into a constant state.