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[00021] Study of sonic-supersonic patch arising in axisymmetric relativistic transonic flow

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @G601
  • Type : Contributed Talk
  • Abstract : In this work, we study a sonic-supersonic patch arising in 3-D axisymmetric relativistic transonic flows. The main difficulty here is the coupling of nonhomogeneous terms due to axisymmetry and the sonic degeneracy for the relativistic flow. However, using the characteristic decompositions of angle variables, we prove the existence and regularity of solutions in partial hodograph plane first and then by using an inverse transformation, we construct a smooth solution in the physical plane.
  • Classification : 35L65, 35M10, 35M33, 35Q75, 35A01
  • Author(s) :
    • RAHUL BARTHWAL (Indian Institute of Technology Kharagpur)
    • RAHUL BARTHWAL (Indian Institute of Technology Kharagpur)
    • T Raja Sekhar (Indian Institute of Technology Kharagpur)