Uniqueness for optimal control problems of two-dimensional second grade fluids
Date
2022-03-18
Authors
Almeida, Adilson
Chemetov, Nikolai V.
Cipriano, Fernanda
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded domain, supplemented with a Navier slip boundary condition. Under certain assumptions on the size of the initial data and parameters of the model, we prove second-order sufficient optimality conditions. Furthermore, we establish a global uniqueness result for the solutions of the first-order optimality system.
Description
Keywords
Second grade fluids, Optimal control, Uniqueness
Citation
Almeida, A., Chemetov, N. V., & Cipriano, F. (2022). Uniqueness for optimal control problems of two-dimensional second grade fluids. <i>Electronic Journal of Differential Equations, 2022</i>(22), pp. 1-12.
Rights
Attribution 4.0 International