From the 1 of 5 linked papers with an AI index.
5 papers
Uniformly Rotating Euler Configurations with Multiple Vorticity Holes
Vittorio Baroncini, Juan Carlos Cantero, Claudia GarcÃa +3
We construct new families of uniformly rotating vortex-patch solutions of the two-dimensional incompressible Euler equations consisting of a simply connected outer patch and multip…
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…
Survey on periodic vortex patches
Claudia GarcÃa
The paper surveys classical results on the existence of periodic vortex patch solutions for the two‑dimensional incompressible Euler equations, presenting a unified exposition of e…
Time-periodic leapfrogging vortex rings in the 3D Euler equations
Claudia GarcÃa, Zineb Hassainia, Taoufik Hmidi
We prove the existence of time-periodic leapfrogging vortex rings for the three-dimensional incompressible Euler equations, thereby providing a rigorous realization of a phenomenon…
Unraveling Residualization: enhancing its application and exposing its relationship with the FWL theorem
Catalina GarcÃa GarcÃa, Román Salmerón Gómez, Claudia GarcÃa GarcÃa
The residualization procedure has been applied in many different fields to estimate models with multicollinearity. However, there exists a lack of understanding of this methodology…