4 papers
Nonlinear Stability of 3D Muskat Bubbles
Francisco Gancedo, Eduardo García-Juárez, Susanna V. Haziot +2
This paper studies the three-dimensional Muskat problem for two immiscible fluids in a porous medium subject to gravity and surface tension. We consider the setting in which one fl…
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…
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…
On Nonlinear Stability of Muskat Bubbles
Francisco Gancedo, Eduardo García-Juárez, Neel Patel +1
In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [25]. Due to a new bubble-adapted formulation, the improvement…