Laboratoire d’Analyse et de Mathématiques Appliquées

Optimal Vaccination Strategies for a Heterogeneous SIS Model

Abstract. We study in a general mathematical framework the optimal allocation of vaccine in an heterogeneous population. We cast the problem of optimal vaccination as a biobjective minimization problem [Formula: see text], where [Formula: see text] and [Formula: see text] stand,...

Global Boundedness Induced by Asymptotically Non‐Degenerate Motility in a Fully Parabolic Chemotaxis Model with Local Sensing

ABSTRACT A fully parabolic chemotaxis model of Keller–Segel type with local sensing is considered. The system features a signal‐dependent asymptotically non‐degenerate motility function, which accounts for a repulsion‐dominated chemotaxis. Global boundedness of classical solution...

The One-Dimensional Compressible Navier–Stokes Equations in Critical Regularity Spaces

Abstract. We are concerned with the barotropic compressible Navier–Stokes equations on the real line. Our primary goal is to establish the global well-posedness in a critical regularity framework in the case where the initial data are small perturbations of a stable constant stat...