3 papers
math.AP2026
Asymptotic Velocity Profiles for Homoenergetic Rayleigh-Boltzmann Flows under Dominant Shear
Nicola Miele, Alessia Nota, Juan J. L. Velázquez
In this paper, we study a particular class of solutions to the Rayleigh--Boltzmann equation, known in the nonlinear setting as \emph{homoenergetic solutions}. These solutions take…
math.AP2025
The global attractor of the inelastic linear Boltzmann equation in a gravity field for Maxwell molecules
Théophile Dolmaire, Nicola Miele, Alessia Nota
In this article we consider the linear inelastic Boltzmann equation in presence of a uniform and fixed gravity field, in the case of Maxwell molecules. We first obtain a well-posed…
math.AP2025
Homoenergetic solutions for the Rayleigh-Boltzmann equation: existence of a stationary non-equilibrium solution
Nicola Miele, Alessia Nota, Juan J. L. Velázquez
In this paper we consider a particular class of solutions of the linear Boltzmann-Rayleigh equation, known in the nonlinear setting as Homoenergetic solutions. These solutions desc…