3 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…
math.AP2021
Boundary value problems for two dimensional steady incompressible fluids
Diego Alonso-Orán, Juan Juan J. L. Velázquez
In this paper we study the solvability of different boundary value problems for the two dimensional steady incompressible Euler equation. Two main methods are currently available t…