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We prove the local-in-time well-posedness of the relativisticVlasov-Maxwell-Landau system in a bounded domain $\Omega$ with the specularreflection condition. Our result covers the case when $\Omega$ is a non-convexdomain, e.g., solid torus. To the best of our knowledge, this is the firstlocal well-posedness result for a nonlinear kinetic model with aself-consistent magnetic effect in a three-dimensional $\textbf{bounded}$domain.

The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition