Zobrazeno 1 - 10
of 182
pro vyhledávání: '"Juárez, Eduardo"'
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 a boundary integral equation in terms of the tangent angle and demonst
Externí odkaz:
http://arxiv.org/abs/2405.02446
Autor:
Lazcano, Raquel, Madroñal, Daniel, Florimbi, Giordana, Sancho, Jaime, Sanchez, Sergio, Leon, Raquel, Fabelo, Himar, Ortega, Samuel, Torti, Emanuele, Salvador, Ruben, Marrero-Martin, Margarita, Leporati, Francesco, Juarez, Eduardo, Callico, Gustavo M, Sanz, Cesar
Hyperspectral (HS) imaging presents itself as a non-contact, non-ionizing and non-invasive technique, proven to be suitable for medical diagnosis. However, the volume of information contained in these images makes difficult providing the surgeon with
Externí odkaz:
http://arxiv.org/abs/2404.10631
Autor:
Sancho, Jaime, Villa, Manuel, Chavarrías, Miguel, Juarez, Eduardo, Lagares, Alfonso, Sanz, César
Over the last two decades, augmented reality (AR) has led to the rapid development of new interfaces in various fields of social and technological application domains. One such domain is medicine, and to a higher extent surgery, where these visualiza
Externí odkaz:
http://arxiv.org/abs/2404.00048
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 is two fold. We significantly condense the proof and we now obtain th
Externí odkaz:
http://arxiv.org/abs/2312.14323
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 spaces, of the circle solution, possibly containing corners. For such initi
Externí odkaz:
http://arxiv.org/abs/2311.10157
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. Specifically, we prove that if the initial data contains a finite set of smal
Externí odkaz:
http://arxiv.org/abs/2305.05046
This paper introduces the 3D Peskin problem: a two-dimensional elastic membrane immersed in a three-dimensional steady Stokes flow. We obtain the equations that model this free boundary problem and show that they admit a boundary integral reduction,
Externí odkaz:
http://arxiv.org/abs/2301.12153
This paper studies the dynamics of two incompressible immiscible fluids in 2D modeled by the inhomogeneous Navier-Stokes equations. We prove that if initially the viscosity contrast is small then there is global-in-time regularity. This result has be
Externí odkaz:
http://arxiv.org/abs/2109.08764
In this paper we show a constructive method to obtain $\dot{C}^\sigma$ estimates of even singular integral operators on characteristic functions of domains with $C^{1+\sigma}$ regularity, $0<\sigma<1$. This kind of functions were shown in first place
Externí odkaz:
http://arxiv.org/abs/2109.08762
We show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by $00$.
Comment: 20 pages, 3 figures
Comment: 20 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/2109.02565