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6 papers · 2 filters
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…
A scattering operator for some nonlinear elliptic equations
Raphaël Côte, Camille Laurent
We consider non linear elliptic equations of the form for suitable analytic nonlinearity , in the vinicity of infinity in , that is on the com…
Model order reduction and sensitivity analysis for complex heat transfer simulations inside the human eyeball
Thomas Saigre, Christophe Prud'Homme, Marcela Szopos
Heat transfer in the human eyeball, a complex organ, is significantly influenced by various pathophysiological and external parameters. Particularly, heat transfer critically affec…