Involve: A Journal of Mathematics

  • Involve
  • Volume 6, Number 3 (2013), 311-322.

Shock profile for gas dynamics in thermal nonequilibrium

Wang Xie

Full-text: Open access


In this paper, we study the existence and the properties of a shock profile for a system of thermal nonequilibrium gas dynamics. We find a neat condition to ensure the existence of the shock profile. Moreover, we calculate the shock profile solution explicitly.

Article information

Involve, Volume 6, Number 3 (2013), 311-322.

Received: 24 May 2012
Revised: 5 October 2012
Accepted: 10 October 2012
First available in Project Euclid: 20 December 2017

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q31: Euler equations [See also 76D05, 76D07, 76N10]

shock profile thermal nonequilibrium


Xie, Wang. Shock profile for gas dynamics in thermal nonequilibrium. Involve 6 (2013), no. 3, 311--322. doi:10.2140/involve.2013.6.311.

Export citation


  • R. Courant and K. O. Friedrichs, Supersonic flow and shock waves, Pure and Applied Mathematics 1, Interscience, New York, 1948.
  • G. B. Whitham, Linear and nonlinear waves, Pure and Applied Mathematics 42, Wiley, New York, 1974.
  • W.-A. Yong and K. Zumbrun, “Existence of relaxation shock profiles for hyperbolic conservation laws”, SIAM J. Appl. Math. 60:5 (2000), 1565–1575.