Publications (24)
Breakdown of smoothness for the Muskat problem
Angel Castro, Diego Cordoba, Charles Fefferman +1
In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down i…
On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term
Angel Castro, Diego Córdoba, Daniel Lear
We consider the 2D Boussinesq equations with a velocity damping term in a strip , with impermeable walls. In this physical scenario, where the \textit{Bouss…
Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity
Angel Castro, David Lannes
In this paper we derive a new formulation of the water waves equations with vorticity that generalizes the well-known Zalkarov-Craig-Sulem formulation used in the irrotational case…
Uniformly rotating smooth solutions for the incompressible 2D Euler equations
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
In this paper, we show the existence of a family of compactly supported smooth vorticities, which are solutions of the 2D incompressible Euler equation and rotate uniformly in time…
Fully nonlinear long-waves models in presence of vorticity
Angel Castro, David Lannes
We study here Green-Naghdi type equations (also called fully nonlinear Boussinesq, or Serre equations) modeling the propagation of large amplitude waves in shallow water. The novel…
A naive parametrization for the vortex-sheet problem
Angel Castro, Diego Cordoba, Francisco Gancedo
We consider the dynamics of a vortex sheet that evolves by the Birkhoff-Rott equations. The fluid evolution is understood as a weak solution of the incompressible Euler equations w…
Splash singularities for the one-phase Muskat problem in stable regimes
Angel Castro, Diego Cordoba, Charles Fefferman +1
This paper shows finite time singularity formation for the Muskat problem in a stable regime. The framework we found is with a dry region, where the density and the viscosity are s…
Exploring the halo occupation distribution for moderate X-ray luminosity active galactic nuclei in the EAGLE cosmological simulation
Liliana Altamiran-Dévora, Hector Aceves, Angel Castro +1
The hydrodynamical cosmological simulation \eagle{} is used to model the Halo Occupation Distribution (HOD) of moderate X-ray luminosity active galactic nuclei (mXAGN), extending p…
Finite time singularities for the free boundary incompressible Euler equations
Angel Castro, Diego Córdoba, Charles Fefferman +2
In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Euler equations (also known for some particular scenarios as the water wave pro…
Global existence of quasi-stratified solutions for the confined IPM equation
Angel Castro, Diego Córdoba, Daniel Lear
In this paper, we consider a confined physical scenario to prove global existence of smooth solutions with bounded density and finite energy for the inviscid incompressible porous…
Turning waves and breakdown for incompressible flows
Angel Castro, Diego Cordoba, Charles Fefferman +2
We consider the evolution of an interface generated between two immiscible incompressible and irrotational fluids. Specifically we study the Muskat and water wave problems. We show…
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
Angel Castro, Diego Cordoba, Charles Fefferman +2
The Muskat problem models the evolution of the interface given by two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach the linear stability of th…
Uniformly rotating analytic global patch solutions for active scalars
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
We show that there exists a family of analytic convex global rotating solutions for the vortex patch equations, bifurcating from ellipses. As a byproduct, the analyticity proof can…
phoptic -- a Python package for reducing astronomical images
Zackery A. Irving, Noel Castro Segura, Diego Altamirano +6
phoptic is an open‑source Python package that provides a flexible photometry pipeline for reducing astronomical images, supporting multiple instruments and offering optimal photome…
Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
Motivated by the recent work of Hassainia and Hmidi [Z. Hassainia, T. Hmidi - On the {V}-states for the generalized quasi-geostrophic equations,arXiv preprint arXiv:1405.0858], we…
Remarks on geometric properties of SQG sharp fronts and -patches
Angel Castro, Diego Córdoba, Javier Gómez-Serrano +1
Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and -patches. We establish that ellipses are not rotational so…
AKARI Infrared Camera Observations of the 3.3 μm PAH feature in Swift/BAT AGNs
Angel Castro, T. Miyaji, M. Shirahata +6
We explore the relationships between the 3.3 μm polycyclic aromatic hydrocarbon (PAH) feature and active galactic nucleus (AGN) properties of a sample of 54 hard X-ray selected br…
Splash singularities for the free boundary Navier-Stokes equations
Angel Castro, Diego Córdoba, Charles Fefferman +2
In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down…
Global smooth solutions for the inviscid SQG equation
Angel Castro, Diego Córdoba, Javier Gómez-Serrano
In this paper, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.
Star-disk interactions in multi-band photometric monitoring of the classical T Tauri star GI Tau
Zhen Guo, Gregory J. Herczeg, Jessy Jose +16
The variability of young stellar objects is mostly driven by star-disk interactions. In long-term photometric monitoring of the accreting T Tauri star GI Tau, we detect extinction…
Splash singularity for water waves
Angel Castro, Diego Córdoba, Charles Fefferman +2
We exhibit smooth initial data for the 2D water wave equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result t…
Finite time singularities for water waves with surface tension
Angel Castro, Diego Córdoba, Charles Fefferman +2
Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension does not prevent a finite time splash or splat singulari…
Singularity Formation in a Surface Wave Model
Angel Castro, Diego Cordoba, Francisco Gancedo
In this paper we study the Burgers equation with a nonlocal term of the form where is the Hilbert transform. This system has been considered as a quadratic approximation f…
Structural stability for the splash singularities of the water waves problem
Angel Castro, Diego Córdoba, Charles Fefferman +2
In this paper we show a structural stability result for water waves. The main motivation for this result is that we would like to exhibit a water wave whose interface starts as a g…