Analyse, analyse numérique et contrôle des milieux continus

Zero entropic relaxation time for a ferromagnetic fluid system

22 mai 2018, 16:30

1h

Orateur

Stefano Scrobogna (Centre Basque de Mathématiques Appliqueées, Bilbao, Espagne)

Description

In the physical sciences, relaxation usually means the return of a perturbed system to equilibrium. Each relaxation process can be categorized by a relaxation time $\tau$, for a generic commercial grade ferrofluid (a mixture of nanoscale ferromagnetic particles of a compound containing iron suspended in a fluid) the relaxation time is very small, of the order $\tau \approx {10}^{-9}$; it makes hence sense to provide an asymptotic approximation when $\tau \to 0$. In this talk I will explain how to construct solutions for the Shliomis model of ferrofluids in a critical space of infinite $L^2$ energy uniformly for $\tau \in (0,{\tau }_0)$, such uniform construction will allow us to study the limit regime $\tau \to 0$ and the convergence of the critical solutions.