Optimal control problems with state constraint governed by Navier-Stokes equations

2010/05/18 by Hanbing Liu, Liu, Hanbing
Engineering · Mathematics · #93B50 #93C05 #93C35 #Algorithm #Applied mathematics #Compressibility #Computational Fluid Dynamics and Aerodynamics #Computer science #Constraint (computer-aided design) #Control (management) #FOS: Mathematics #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Maximum principle #Mechanics #Navier-Stokes equation solutions #Navier–Stokes equations #Optimal control #Optimization and Control (math.OC) #Physics #Stability and Controllability of Differential Equations #State (computer science) #Work (physics) #math.OC #msc:93B50 #msc:93C05 #msc:93C35

paper · pdf · doi:10.48550/arxiv.1005.3176

published in arXiv (Cornell University) (Cornell University) · 22pages

arxiv created 2010/05/18 · openalex publication_date 2010/05/18 · arxiv updated 2010/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

This work deals with the existence of optimal solution and the maximum principle for optimal control problem governed by Navier-Stokes equations with state constraint in 3-D. Strong results in 2-D also are given.

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