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Time-averaged shallow water model: asymptotic derivation and numerical validation
(2015)
The objective of this paper is to derive, from the Navier-Stokes equations in a shallow domain,a new bidimensional shallow water model able to filter the high frequency oscillations that are produced, when the Reynolds ...
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 ...
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 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.
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 ...