2 papers
math.AP2026
Rigidity results for Euler flows in two dimensional exterior domains
Diego Alonso-Orán, Daniel Sánchez-Simón del Pino, Juan J. L. Velázquez
We study steady solutions of the two dimensional incompressible Euler equations in the exterior of a compact domain. We assume that fluid enters the exterior domain through every p…
math.AP2024
The three dimensional magneto-hydrostatic equations with Grad-Rubin boundary value
Diego Alonso-Orán, Daniel Sánchez-Simón del Pino, Juan J. L. Velázquez
In this work, we study the well-posedness of the three dimensional magneto-hydrostatic equation under Grad-Rubin boundary value conditions. The proof relies on a fixed point argume…