Simple waves of the two dimensional compressible Euler system for a class of pressure laws

Wei Xiao () and Weili Li ()
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Wei Xiao: Chang’An University
Weili Li: Chang’An University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 4, 1113-1122

Abstract: Abstract In this paper, we consider a two-dimensional compressible Euler system for a class of pressure laws Chen (Arch Ration Mech Anal 166:81–98, 2003), and use the characteristic decomposition to establish that any wave adjacent to a constant state must be a simple wave. These results are generalization of the well-known theorem on reducible equations in Courant and Friedrichs’s monograph Courant, ansd Friedrichs (Supersonic flow and shock waves, Interscience, New York, 1948).

Keywords: Riemann problem; Characteristic decomposition; Simple wave; Euler equations; 35L65 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00023-w

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