Work

Optimal control of 3D Navier-Stokes-Voigt equations for convex control constraints

Year: 2024

Type: article

Abstract: We study a distributed optimal control problem for Navier-Stokes-Voigt equations in three-dimensional bounded domains with convex control constraints and a general cost functional. We prove the existence of optimal solutions, the first-order necessary optimality conditions, and the second-order sufficient optimality conditions as well as the Lipschitz stability of optimal solutions with respect to the initial data.

Source: Evolution equations and control theory

DOI: 10.3934/eect.2024056

Authors: Cung The Anh, Vu Hai Son

Institution: Hanoi National University of Education

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403548609

FWCI:

Cites: 33

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Related to: 10