Original Papers

Acta Mechanica

, Volume 126, Issue 1, pp 139-151

First online:

Shock propagation in gas dynamics: Explicit form of higher order compatibility conditions

  • M. P. LazarevAffiliated withInstitute of the Physics of the Earth, USSR Academy of Sciences
  • , R. RavindranAffiliated withDepartment of Mathematics, Indian Institute of Science
  • , P. PrasadAffiliated withDepartment of Mathematics, Indian Institute of Science

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With the use of tensor analysis and the method of singular surfaces, an infinite system of equations can be derived to study the propagation of curved shocks of arbitrary strength in gas dynamics. The first three of these have been explicitly given here. This system is further reduced to one involving scalars only. The choice of dependent variables in the infinite system is quite important, it leads to coefficients free from singularities for all values of the shock strength.