Grupo de Modelización e Resolución de Modelos (GMRM)
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Mathematical perspective on XFEM implementation for models involving contribution on interfaces
(Elsevier, 2024)[Abstract] Models involving interfaces with discontinuities or even singularities of some fields across them are very frequent in real life problems modelling. In the last decades, the use of the eXtended Finite Element ... -
Asymptotic study of a thin layer of viscous fluid between two surfaces
(University of Primorska Press, 2021)[Abstract:] In this work, we are interested in studying the behavior of an incompressible viscous fluid moving between two closely spaced surfaces, also in motion. -
A new thin layer model for viscous flow between two nearby non-static surfaces
(Wiley, 2023)[Abstract:] We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show, using a formal asymptotic expansion of the solution, that its asymptotic behavior, when the distance between ... -
Asymptotic Analysis of a Thin Fluid Layer Flow Between Two Moving Surfaces
(Elsevier, 2022-03-01)[Abstract] In this paper we study the behavior of an incompressible viscous fluid moving between two very close surfaces also in motion. Using the asymptotic expansion method we formally justify two models, a lubrication ... -
Mathematical and Asymptotic Analysis of Thermoelastic Shells in Normal Damped Response Contact
(Elsevier, 2021-12)[Abstract] The purpose of this paper is twofold. We first provide the mathematical analysis of a dynamic contact problem in thermoelasticity, when the contact is governed by a normal damped response function and the ...