UNIQUENESS FOR OPTIMAL CONTROL PROBLEMS OF TWO-DIMENSIONAL SECOND GRADE FLUIDS

Autor(es)

Almeida, Adilson ; Chemetov, Nikolai, V ; Cipriano, Fernanda

• Tipo de documento: Artigo Científico
• Fonte: Electronic Journal of Differential Equations; v. 2022, n. 22, p. 12-pg., 2022-03-18.

Resumo

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. (AU)

• Processo FAPESP: 21/03758-8 - Problemas matemáticos em dinâmica de fluidos
• Beneficiário: Nikolai Vasilievich Chemetov
• Modalidade de apoio: Auxílio à Pesquisa - Regular