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[00434] Three pieces Riemann problem for $2$-D full Euler system in the Noble-Abel gas

  • Session Time & Room : 4D (Aug.24, 15:30-17:10) @G602
  • Type : Contributed Talk
  • Abstract : We present Riemann problem governed by $2$-D full Euler system in the Noble-Abel gas. Riemann data, consisting three constants, are distributed in three distinct regions with an assumption that two adjoining regions can be connected by only one planar elementary wave. We present criteria for existence of different configurations of elementary waves for isentropic, as well as full, Euler system. We also discuss the effect of the Noble-Abel gas and the angle of regions on elementary waves and corresponding stream curves. Note: The present article has been published on 17 May 2022 in the journal ''Mathematical Methods in the Applied Sciences''/ Volume 45, Issue 16 with DOI:10.1002/mma.8377.
  • Classification : 35L65, 35L67, 35Q30, 35Q31, 35Q35, Hyperbolic Conservation Laws, Shocks and Singularities for Hyperbolic equations, Navier-Stokes equations, Euler equations, PDEs in connection with fluid mechanics.
  • Format : Talk at Waseda University
  • Author(s) :
    • Harsita Srivastava (Dr. B. R. Ambedkar National Institute of Technology Jalandhar, Punjab)
    • M. Zafar (Dr. B. R. Ambedkar National Institute of Technology Jalandhar, Punjab)