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Uniqueness for Optimal control problems of two-dimensional second grade fluids
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Orientador(es)
Resumo(s)
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 con-dition. Under certain assumptions on the size of the initial data and pa-rameters 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.
Descrição
Nikolai V. Chemetov was supported by the project no. 2021/03758-8 of Regular Research Grant-FAPESP, Brazil, and by the Program of "Docentes Novos", Process no. 20.1.4175.1.0 of Universidade de Sao Paulo. F. Cipriano was partially supported by the Fundacao para a Ciencia e a Tec-nologia.
Palavras-chave
optimal control Second grade fluids uniqueness Analysis