Riemann problems for hyperbolic systems

Abstract

In this report, we defined hyperbolic system and given some examples. We study the behavior of hyperbolic system. Later, we revised the exact solution of the Riemann Problem for the non- linear PDE, which in hyperbolic system of the general form of conservation laws which governs one-
dimensional isentropic magnetogasdynamics. Lastly, we find the solution using phase plane analysis and interactions of elementary waves between the same families as well as different families.