213 citations
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- Institute of Rural Management AnandIN102 papers
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15 papers · 1 filter
Two-way Coupling of Fluid--Structure Interaction for Elastic Magneto-Swimmers:A Finite Element ALE Approach
Christophe Prud'Homme, Vincent Chabannes, Laëtitia Giraldi +2
Artificial micro-swimmers actuated by external magnetic fields hold significant promise for targeted biomedical applications, including drug delivery and micro-robot-assisted thera…
Mathematical modeling and simulation of coupled aqueous humor flow and temperature distribution in a realistic 3D human eye geometry
Thomas Saigre, Vincent Chabannes, Christophe Prud'Homme +1
We present a comprehensive computational model to simulate the coupled dynamics of aqueous humor flow and heat transfer in the human eye. To manage the complexity of the model, we…
Towards a computational framework using finite element methods with Arbitrary Lagrangian-Eulerian approach for swimmers with contact
Céline Van Landeghem, Luca Berti, Laëtitia Giraldi +1
Swimming involves a body's capability to navigate through a fluid by undergoing self-deformations. Typically, fluid dynamics are described by the Navier-Stokes equations, and when…
On the set of non radiative solutions for the energy critical wave equation
Raphaël Côte, Camille Laurent
Non radiative solutions of the energy critical non linear wave equation are global solutions that furthermore have vanishing asymptotic energy outside the lightcone at both $t…
A coupled fluid-dynamics-heat transfer model for 3D simulations of the aqueous humor flow in the human eye
Thomas Saigre, Christophe Prud'Homme, Marcela Szopos +1
Understanding human eye behavior involves intricate interactions between physical phenomena such as heat transfer and fluid dynamics. Accurate computational models are vital for co…
Sharp blow-up stability for self-similar solutions of the modified Korteweg-de Vries equation
Simão Correia, Raphaël Côte
We consider the modified Korteweg-de Vries equation. Given a self-similar solution, and a subcritical perturbation of any size, we prove that there exists a unique solution to the…