# Conic Lagrangian Varieties and Localized Asymptotic Solutions of Linearized Equations of Relativistic Gas Dynamics

*2019, Volume 24, Number 6, pp. 671-681*

Author(s):

**Allilueva A. I., Shafarevich A. I.**

We study asymptotic solution of the Cauchy problem for the linearized system of
relativistic gas dynamics. We assume that initial condiditiopns are strongly localized near a
space-like surface in the Minkowsky space. We prove that the solution can be decomposed into
three modes, corresponding to different routsb of the equations of characteristics. One of these
roots is twice degenerate and the there are no focal points in the corresponding miode. The other
two roots are simple; in order to describe the corresponding modes, we use the modificication
of the Maslov’s canonical operator which was obtained recently.

Access to the full text on the Springer website |