Open AccessThe Interaction of Waves in the Zero-Pressure Euler Equations with a Coulomb-Like Friction Term
Author(s) -
Aiju Wang,
Wangxun Yu,
Yanyan Zhang
Publication year - 2022
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2022/4837968
Subject(s) - shock wave , zero (linguistics) , coulomb , riemann hypothesis , term (time) , physics , euler's formula , euler equations , discontinuity (linguistics) , classical mechanics , mathematics , mathematical analysis , mechanics , quantum mechanics , philosophy , linguistics , electron
In this study, the interaction of waves in the zero-pressure Euler equations with a Coulomb-like friction term is considered, which is equivalent to the Riemann problem with three constant initial states for the zero-pressure Euler equations. By solving generalized Rankine–Hugoniot relations under suitable entropy conditions, four different structures of explicit solutions are obtained uniquely, in which the interactions among contact discontinuity, vacuum, and delta shock are presented.
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