Uniqueness for optimal control problems of two-dimensional second grade fluids
DOI:
https://doi.org/10.58997/ejde.2022.22Keywords:
Second grade fluids; optimal control; uniquenessAbstract
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.
For more information see https://ejde.math.txstate.edu/Volumes/2022/22/abstr.html
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