Ensemble optimal control problems governed by a Fokker-Planck equation with space-time
dependent controls are investigated. These problems require the minimisation of objective …

A numerical scheme to solve the optimal control problem, governed by Fokker–Planck (FP)
equation, is presented. In particular, a bilinear optimal control framework is considered for …

The sequential quadratic hamiltonian (SQH) method is a novel numerical optimization
procedure for solving optimal control problems governed by differential models. It is based …

The Vlasov–Poisson system describes the time evolution of a plasma in the so-called
collisionless regime. The investigation of a high-temperature plasma that is influenced by an …

In this work we present a new stochastic framework for obtaining optimal treatment regimes
in prostate cancer. We model the realistic scenario of randomized clinical trials for …

This work is devoted to the analysis of a numerical approximation to a general multi-
dimensional kinetic Fokker–Planck (FP) equation with reaction and source terms and …

The Wigner quasi-density function allows a phase-space formulation of statistical quantum
mechanics that is of fundamental importance in theoretical investigation and in applications …

In this paper, we consider the fluid dynamical formulation of optimal transport for general
nonlinear control systems that are of control-affine form for general cost functionals. When …

A new optimization framework to design steady equilibrium solutions of the Vlasov–Poisson
system by means of external electric fields is presented. This optimization framework …

Heterogeneity and low regularity issues in PDEs arising from Fluid Mechanics Page 1 HAL Id:
tel-04442860 https://hal.science/tel-04442860 Submitted on 6 Feb 2024 HAL is a multi-disciplinary …