• Collision of nonlinear waves in logotropic system with a Coulomb-type friction

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    • Keywords


      Riemann problem; elementary waves; wave interactions; logotropic system.

    • Abstract


      In this article, we consider the logotropic system of gasdynamics with a Coulomb-type friction to explore all possible collisions of elementary waves. We discuss the elementary waves and their properties in the phase plane to describe the exact Riemann solution. Further, we analyze all possible cases of the elementary wave interactions between same and different families of waves in the phase plane employing the solution of the Riemann problem.

    • Author Affiliations



      1. Department of Mathematics, Birla Institute of Techonology and Science Pilani, K K Birla Goa Campus, Goa 403726, India
      2. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
    • Dates

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