Journée jeunes MMCS/EDPA

mardi 3 mars 2026, 14:00 → 17:00 Europe/Paris

Solal Perrin-Rousse: " Mathematical insights on Dynamical Mean-Field Theory "

Résumé:

I will talk about my work during my PhD thesis, where we provided a mathematical analysis of the Dynamical Mean-Field Theory (DMFT), a prototypical example of a class of approximations in quantum mechanics known as embedding methods. I will start by a short mathematical formulation of the DMFT equations, which require the definition of the finite Hubbard and Anderson impurity models, as well as the one-body time-ordered Green’s functions, together with a specific impurity solver, namely the Iterated Perturbation Theory (IPT) solver. Within this framework, we were able to prove that the DMFT equations admit a solution for any set of physical parameters. I will emphasize the role played by the Pick functions in this mathematical model.

 

Fanch Coudreus: " "

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Matthieu Pageard: " Well-posedness for 2D non-homogeneous incompressible fluids with odd viscosity" 

Résumé:  Viscosity in fluids is often related to the dissipation of energy. However, in physical systems where the microscopic dynamics do not obey time-reversal symmetry, a non-dissipative viscosity can emerge, often referred to as "odd viscosity". In this talk, we will consider the initial value problem for a system of equations describing the motion of two-dimensional non-homogeneous incompressible fluids exhibiting odd viscosity effects. We will prove the local existence and uniqueness of strong solutions in sufficiently regular Sobolev spaces. Differently from previous works, we will suppose the odd viscosity coefficient to be a general function of the density of the fluid.

 

 

Pierre Gonin-Joubert: " "

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