Nonstationary one-dimensional problem of magnetogasdynamics. Riemann waves

N. V. Saltanov - V. S. Tkalich

Abstract
The nonstationary problem of gasdynamics and magnetogasdynamics is treated in the classical and relativistic cases with two cyclic coordinates present. An analogy is established between the one-dimensional nonstationary relativistic and two-dimensional stationary problems. It is shown that the basic equation of the one-dimensional relativistic problem coincides with Sedov's equation in Rudnev‘s form, with an accuracy to the terms involved. Conditions are found which make possible Riemann waves: in this case the basic equation becomes linear. Equations for the Riemann invariants are obtained. Simple Riemann waves are examined. Expressions for the physical quantities are found. Refs 8.