Almeida, AdilsonChemetov, Nikolai V.Cipriano, Fernanda2023-04-172023-04-172022-03-18Almeida, 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. 1-12.1072-6691https://hdl.handle.net/10877/16581We 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalSecond grade fluidsOptimal controlUniquenessArticle