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Paper   IPM / Physic / 6757
School of Physics
  Title:   Two-Dimensional Double Simple Waves in Pair Plasma at Relativistic Temperatures
1.  D.D. Tskhakaya
2.  H. Eshraghi
  Status:   Published
  Journal: Phys. Plasmas
  No.:  6
  Vol.:  9
  Year:  2002
  Pages:   2518-2525
  Supported by:  IPM
The two-dimensional problem for double simple waves in an electronpositron plasma is analytically solved. The relations between the hydrodynamical quantities and two components of the wave velocity are found. For explicit description of spatial and time behavior of quantities, the initial distributions (for instance of the velocity) must be known. The initial distributions must satisfy a definite condition, which means that the double simple wave cannot be developed from every initial condition. As in the usual simple wave, the two-dimensional double simple wave can suffer discontinuities during its evolution. An equation for the characteristic surface (characterizing the propagation of disturbances under the double simple wave restriction) is constructed. It is also shown that in the two-dimensional case it is impossible to find any Riemann invariant.

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