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math.AP2026
Smooth nonradial stationary solutions to SQG via the half-Yamabe equation
Ãngel Castro, Antonio J. Fernández, Claudia GarcÃa
We prove the existence of infinitely many smooth nonradial stationary solutions to the surface quasi-geostrophic (SQG) equation with finite kinetic energy. Our construction is base…
math.AP2026
Global-in-time estimates for the 2D one-phase Muskat problem with contact points
Edoardo Bocchi, Ãngel Castro, Francisco Gancedo
In this paper, we study the dynamics of a two-dimensional viscous fluid evolving through a porous medium or a Hele-Shaw cell, driven by gravity and surface tension. A key feature o…