2 papers
math.AP2026
Self-Similar Solutions to the Hele-Shaw Problem with Surface Tension
Siddhant Agrawal, Neel Patel
We consider the Hele-Shaw problem with surface tension in an infinite domain. We prove the existence of a family of self-similar solutions. At , these solutions have a corner…
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…