2 papers
math.AP2025
Splash-squeeze singularities and analytic breakdown in ideal incompressible MHD
Diego Córdoba, Alberto Enciso, Matthew Hernandez
We construct splash-squeeze singularities for the free boundary ideal incompressible plasma-vacuum system, in which two arcs of the plasma boundary come together to form a smooth,…
math.AP2024
Bounds on the Aspect Ratio of the Momentum Support of a 2D Collisionless Plasma
Matthew Hernandez, Neel Patel, Elena Salguero
The relativistic Vlasov-Maxwell system is a kinetic model for collisionless plasmas. For the two-dimensional model, global well-posedness of this model is known and was proven by d…