On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework

DOI10.3934/krm.2024005zbMath1548.49043MaRDI QIDQ6612859

Jan Bartsch, Alfio Borzì

Publication date: 1 October 2024

Published in: Kinetic and Related Models (Search for Journal in Brave)

zbMATH Keywords

Monte Carlo methodsfeedback controlensemble optimal control problemsKeilson-Storer collision termkinetic models in phase space

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Optimal feedback synthesis (49N35) PDE constrained optimization (numerical aspects) (49M41)

Cites Work

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• Abstract time-dependent transport equations
• Mean field control hierarchy
• Adjoint DSMC for nonlinear Boltzmann equation constrained optimization
• A theoretical investigation of Brockett's ensemble optimal control problems
• Stochastic Optimal Control in Infinite Dimension
• A Family of Symplectic Integrators: Stability, Accuracy, and Molecular Dynamics Applications
• A Note on the Generation of Random Normal Deviates
• A second variational theory for optimal periodic processes
• Spectral analysis of transport equations with bounce-back boundary conditions
• Trace theorems and kinetic equations for non divergence free external forces
• Linear transport equation with specular reflection boundary condition
• Geometric numerical integration illustrated by the Störmer–Verlet method
• Optimal Control of the Keilson-Storer Master Equation in a Monte Carlo Framework
• On Brownian motion, Boltzmann’s equation, and the Fokker-Planck equation
• Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation
• MOCOKI: a Monte Carlo approach for optimal control in the force of a linear kinetic model
• Adjoint DSMC for nonlinear spatially-homogeneous Boltzmann equation with a general collision model

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