82 citations · 403 across the 26 of their papers we have counts for
4 papers · 2 filters
Derivation of a homogenized two-temperature model from the heat equation
Laurent Desvillettes, François Golse, Valeria Ricci
This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusio…
Improved duality estimates and applications to reaction-diffusion equations
José A. Cañizo, Laurent Desvillettes, Klemens Fellner
We present a refined duality estimate for parabolic equations. This estimate entails new results for systems of reaction-diffusion equations, including smoothness and exponential c…
Existence theory for a kinetic-fluid coupling when small droplets are treated as part of the fluid
Saad Benjelloun, Laurent Desvillettes, Ayman Moussa
We consider in this paper a spray constituted of an incompressible viscous gas and of small droplets which can breakup. This spray is modeled by the coupling (through a drag force…
Entropy, Duality and Cross Diffusion
Laurent Desvillettes, Thomas Lepoutre, Ayman Moussa
This paper is devoted to the use of the entropy and duality methods for the existence theory of reaction-cross diffusion systems consisting of two equations, in any dimension of sp…