The relativistic Vlasov-Maxwell system models the evolution of a collisionless plasma (completely ionized gas) and is a system of coupled nonlinear wave and kinetic transport equations. It remains an open problem to prove global existence and uniqueness of solutions to this system in three-dimensional space. We will discuss the progress on this problem and techniques such as Strichartz estimates for the wave equation, interpolation inequalities and conservation laws.
Francisco Gancedo García
Sala de reuniones del IMUS, Edificio Celestino Mutis