Long term regularity of the one-fluid Euler-Maxwell system in 3D with vorticity

TL;DR

This paper proves that solutions to the 3D one-fluid Euler-Maxwell system with small initial data and vorticity remain regular over a long period, advancing understanding of plasma dynamics.

Contribution

It establishes long-term regularity results for the Euler-Maxwell system with vorticity, a case previously not fully understood.

Findings

Solutions remain regular over extended periods

Small initial data with vorticity do not lead to singularities

Advances theoretical understanding of plasma models

Abstract

We prove long-term regularity of solutions of the one-fluid Euler-Maxwell system in 3 spatial dimensions, in the case of small initial data with nontrivial vorticity.