The Initialization Problem for the Equations of Incompressible Asymmetric Fluids

We investigate the initialization problem for the incompressible asymmetric fluids equations in two space dimensions. The problem is formulated as an optimal control problem. We prove that this problem has at least one and at most finite many solutions. Finally, we determine sufficient conditions to...

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Bibliographic Details
Published in:Applied mathematics & optimization 2021-10, Vol.84 (2), p.1317-1340
Main Authors: Braz e Silva, P., Cunha, C., Rojas-Medar, M. A.
Format: Article
Language:English
Subjects:
Applied mathematics
Asymmetry
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Computational fluid dynamics
Control
Fluid flow
Incompressible flow
Mathematical analysis
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Optimal control
Optimization
Simulation
Systems Theory
Theoretical
Viscosity
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Description
Summary:We investigate the initialization problem for the incompressible asymmetric fluids equations in two space dimensions. The problem is formulated as an optimal control problem. We prove that this problem has at least one and at most finite many solutions. Finally, we determine sufficient conditions to assure uniqueness of the solution.
ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-020-09678-z