Shock Formation in the Magnetohydrodynamic Equation

In this article we aim to predict the behavior of a magnetized fluid which is governed by the Magnetohydrody- namic equation in the inviscid limit, which means that the Reynolds number is over 2000 and the system is turbu- lent. This requries a good knowledge of Magnetohydrodynamics, the conditions governing it, stochastic processes and the methods of solving the KPZ and burgers equations, bearing in mind that this isn’t possible without studying different fields of turbulence and statistical mechanics. It is shown that there are relations between three nonlinear evolutionary equations named KPZ, Burgers and Magnetohydrodynamics, then from our findings not only the field moments can be calculated but the time that the singularities appear for the magnetohydrodynamics equation can also be computed.