16 citations · 18 across the 8 of their papers we have counts for
10 papers · 1 filter
Nonlinear Stability of 3D Muskat Bubbles
Francisco Gancedo, Eduardo García-Juárez, Susanna V. Haziot +2
This paper studies the three-dimensional Muskat problem for two immiscible fluids in a porous medium subject to gravity and surface tension. We consider the setting in which one fl…
Global Bifurcation and the Constructive Existence of Overhanging Periodic Steady Water Waves
Matthieu Cadiot, Susanna Haziot
We provide a constructive existence proof for overhanging periodic gravity water waves with constant vorticity. By introducing a conformal mapping formulation, we parameterize the…
On the global asymptotic stability for the 3D Peskin Problem at critical regularity
Eduardo García-Juárez, Susanna V. Haziot, Po-Chun Kuo +2
We prove global well-posedness and asymptotic stability for the three-dimensional Peskin problem, which models a closed, elastic membrane immersed in an incompressible Stokes fluid…
Amplitude bounds of steady rotational water waves
Susanna V. Haziot, Walter A. Strauss
We consider classical steady water waves with a free surface, a flat bottom and constant vorticity . In the adverse case we prove that there is an absolute upper bound on…
Critical well-posedness for the 2D Peskin problem with general tension
Eduardo García-Juárez, Susanna V. Haziot
In this paper, we study the two dimensional Peskin problem with general elasticity law. Specifically, we prove global regularity for small perturbations, in suitable critical space…
Desingularization of small moving corners for the Muskat equation
Eduardo García-Juárez, Javier Gómez-Serrano, Susanna V. Haziot +1
In this paper, we investigate the dynamics of solutions of the Muskat equation with initial interface consisting of multiple corners allowing for linear growth at infinity. Specifi…
Note on the dissipation for the general Muskat problem
Susanna V. Haziot, Benoît Pausader
We consider the dissipation of the Muskat problem and we give an elementary proof of a surprising inequality of Constantin-Cordoba-Gancedo-Strain which holds in greater generality.
Global bifurcation for corotating and counter-rotating vortex pairs
Claudia García, Susanna V. Haziot
The existence of a local curve of corotating and counter-rotating vortex pairs was proven by Hmidi and Mateu in via a desingularization of a pair of point vortices. In this paper,…
Large-amplitude steady solitary water waves with constant vorticity
Susanna V. Haziot, Miles. H. Wheeler
This paper considers two-dimensional steady solitary waves with constant vorticity propagating under the influence of gravity over an impermeable flat bed. Unlike in previous works…
Traveling water waves -- the ebb and flow of two centuries
Susanna V. Haziot, Vera Mikyoung Hur, Walter Strauss +4
This survey covers the mathematical theory of steady water waves with an emphasis on topics that are at the forefront of current research. These areas include: variational characte…