Optimal control of vortices in non-homogeneous Navier–Stokes flows

Autor:	J. Ferchichi, Slim Chaabane, Karl Kunisch
Rok vydání:	2007
Předmět:	Physics::Fluid Dynamics Dynamical systems theory Incompressible flow Applied Mathematics Mathematical analysis Fluid dynamics Vorticity Optimal control Dynamical system Analysis Second derivative Vortex Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 66:2618-2634
ISSN:	0362-546X
DOI:	10.1016/j.na.2006.03.044
Popis:	Optimal control of time dependent fluid flow governed by the incompressible Navier–Stokes equations is considered. A cost functional based on a local dynamical systems characterization of vortices is investigated. The resulting functional is a non-convex function of the velocity gradient tensor. The optimality system based on a Lagrangian formulation and adjoint equations describing first-order necessary optimality conditions is provided. The gradient and the second derivative of the cost functional with respect to the control are derived.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3fb63a380e08c0c590115374ff54d3c4 https://doi.org/10.1016/j.na.2006.03.044 Zobrazit plný text záznamu Full Text from ScienceDirect