On the dynamic programming approach for the 3D Navier-Stokes equations
Luigi Manca
Abstract
The dynamic programming approach for the control of a 3D flow governed by the stochastic Navier-Stokes equations for incompressible fluid in a bounded domain is studied. By a compactness argument, existence of solutions for the associated Hamilton-Jacobi-Bellman equation is proved. Finally, existence of an optimal control through the feedback formula and of an optimal state is discussed.
Create a lesson
Related papers
UGM: A Unified Framework and New Perspectives for Accelerated Gradient Methods in Smooth and Strongly Convex Optimization
Danqing Zhou, Shiqian Ma, Junfeng Yang
When MILP Beats QP: Piecewise-Linear Reformulations of Sequentially Coupled Bilinear Programs
Quentin Ploussard, Maris Usis, Oluwabunmi Iwakin et al.
Marine Autonomous Vehicle Fleet Scheduling to Maximise Scientific Impact
Mehdi El Krari, Jonathan Smith, Maria Fox
Asymptotic consensus and flocking under decaying persistent excitation on rooted digraphs
Chiara Cicolani, Elisa Continelli, Cristina Pignotti
Co-Optimized Generation, Transmission, and Storage Expansion: System Value and Optimal Duration of Pumped-Storage Hydropower
Rafael Benchimol Klausner, Rafael Kelman
Randomized Quasi-Gauss--Newton Methods for Solving General Nonlinear Equations
Chengchang Liu, Luo Luo