CERMICS

F-equivalence for parabolic systems and applications to the stabilization of nonlinear PDE

We consider the $F$-equivalence problem for parabolic systems: under which conditions a control system, governed by a parabolic operator $A$ and a control operator $B$, can be made equivalent to an exponentially stable system with arbitrarily large decay rate through an appropria...

Convergence of Explicit Runge–Kutta Discontinuous Galerkin Approximations of the First-Order Form of Maxwell’s Equations with Low Regularity Solutions

Abstract. We establish a convergence result for the approximation of low-regularity solutions to time-dependent PDE systems that have an involution structure similar to Maxwell’s equations and the linear wave equations. The approximation is based on an explicit Runge–Kutta (ERK)...

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,...