Numerical Algorithm for Optimal Control of Continuity Equations

2017/08/18 by Nikolay Pogodaev, Pogodaev, Nikolay · 1 citation
Mathematics · #49M05 #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Navier-Stokes equation solutions #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1708.05516

openalex publication_date 2017/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An optimal control problem for the continuity equation is considered. The aim of a controller is to maximize the total mass within a target set at a given type moment. An iterative numerical algorithm for solving this problem is presented.

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