1 citations · 1 across the 7 of their papers we have counts for
7 papers
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…
On 2D Navier-Stokes free boundary: nonnegative density and small viscosity contrast
Francisco Gancedo, Eduardo García-Juárez, Paula Luna-Velasco
This paper is concerned with the evolution of two incompressible, immiscible fluids in two dimensions governed by the inhomogeneous Navier-Stokes equations. We prove global-in-time…
The Immersed Inextensible Interface Problem in 2D Stokes Flow
Eduardo García-Juárez, Po-Chun Kuo, Yoichiro Mori
We study the dynamics of an inextensible, closed interface subject to bending forces and immersed in a two-dimensional and incompressible Stokes fluid. We formulate the problem as…
On Nonlinear Stability of Muskat Bubbles
Francisco Gancedo, Eduardo García-Juárez, Neel Patel +1
In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [25]. Due to a new bubble-adapted formulation, the improvement…
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…