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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 ...
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 ...