The Non-Relativistic Limit for the e-MHD Equations

الملخص EN

We investigate the non-relativistic limit for the e-MHD equations in a three-dimension unit periodic torus.

With the prepared initial data, our result shows that the small parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems (incompressible Euler equations) have smooth solutions.

Moreover, the formal limit is rigorously justified.