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A dynamic problem involving a coupled suspension bridge system : numerical analysis and computational experiments
(American Institute of Mathematical sciences, 2019)
[Abstract]: In this paper we study, from the numerical point of view, a dynamic problem which models a suspension bridge system. This problem is
written as a nonlinear system of hyperbolic partial differential equations ...
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 ...
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 ...
Numerical Behaviour of a New LES Model with Nonlinear Viscosity
(2020)
[Abstract] The objective of this paper is to present a new Large Eddy Simulation (LES) model obtained by filtering a generalized version of the Navier–Stokes equations with nonlinear viscosity. This new model is a ...
Asymptotic Analysis of a Problem for Dynamic Thermoelastic Shells in Normal Damped Response Contact
(2021)
[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 ...