On the double Riemann wave solutions in nonrelativistic and relativistic fluids
Abstract:
Usual Riemann wave is an exact one dimensional solution of fluid equations.
A first generalization of this solution is a multidimensional simple wave.
A further non-trivial generalization is a double wave in which there are
two coupled but independent phases. In this work a development of this
solution is given to obtain the time of discontinuity formation. In presenting
this solution for relativistic flows, it is demonstrated the initial conditions
must satisfy a specific equation. Also the existence of Riemann invariants
is investigated through characteristic surfaces.