An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model
Keyword(s):
In this paper, we study an optimal control problem associated to a 3D-chemotaxis-Navier-Stokes model. First we prove the existence of global weak solutions of the state equations with a linear reaction term on the chemical concentration equation, and an external source on the velocity equation, both acting as controls on the system. Second, we establish aregularity criterion to get global-in-time strong solutions. Finally, we prove the existence of an optimal solution, and we establish a first-order optimality condition.
1992 ◽
Vol 164
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pp. 178-205
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2014 ◽
Vol 11
(03)
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pp. 477-491
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1989 ◽
Vol 2
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pp. 29-31
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2007 ◽
Vol 333
(1)
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pp. 295-310
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2008 ◽
Vol 13
(3)
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pp. 351-377
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2020 ◽
Vol 26
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pp. 29
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