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arXiv · 1910.11244

Necessary conditions for distributed optimal control of linearized compressible Navier-Stokes equations with state constraint

Stefan Doboszczak·Manil T. Mohan·Sivaguru S. Sritharan
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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.

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Stefan Doboszczak, Manil T. Mohan, Sivaguru S. Sritharan. 2019-10-24. Necessary conditions for distributed optimal control of linearized compressible Navier-Stokes equations with state constraint. https://arxiv.org/abs/1910.11244

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