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Delta wave interactions in a non-strictly hyperbolic system with non-convex flux

Author

Listed:
  • Minhajul

    (Birla Institute of Technology and Science Pilani)

  • T. Raja Sekhar

    (Indian Institute of Technology Kharagpur)

Abstract

In this paper, we consider the Riemann problem and wave interactions for a $$2 \times 2$$ 2 × 2 non-strictly hyperbolic system of conservation laws with non-convex flux. Riemann problem can not be solved always in the usual class of elementary waves and the solution develops $$\delta $$ δ -waves. We construct the exact solution to the Riemann problem for the governing system and discuss all possible cases of wave interactions involving $$\delta $$ δ -wave.

Suggested Citation

  • Minhajul & T. Raja Sekhar, 2024. "Delta wave interactions in a non-strictly hyperbolic system with non-convex flux," Indian Journal of Pure and Applied Mathematics, Springer, vol. 55(2), pages 577-596, June.
    • Handle: RePEc:spr:indpam:v:55:y:2024:i:2:d:10.1007_s13226-023-00390-6
    DOI: 10.1007/s13226-023-00390-6
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