Necessary conditions for distributed optimal control of linearized compressible Navier-Stokes equations with state constraint
Optimization and Control
2019-10-25 v1
Abstract
A Pontryagin maximum principle for an optimal control problem in three dimensional linearized compressible viscous flows is established using the Ekeland variational principle. The controls are distributed over a bounded domain, while the state variables are subject to a set of constraints and governed by the linearized compressible Navier-Stokes equations. The maximum principle is of integral-type and obtained for minimizers of a tracking-type integral cost functional.
Keywords
Cite
@article{arxiv.1910.11244,
title = {Necessary conditions for distributed optimal control of linearized compressible Navier-Stokes equations with state constraint},
author = {Stefan Doboszczak and Manil T. Mohan and Sivaguru S. Sritharan},
journal= {arXiv preprint arXiv:1910.11244},
year = {2019}
}