Weak solutions to the time-fractional g-Navier–Stokes equations and optimal control
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Abstract In this paper, we introduce the g-Navier–Stokes equations with time-fractional derivative of order α ∈ ( 0 , 1 ) {\alpha\in(0,1)} in domains of ℝ 2 {\mathbb{R}^{2}} . We then study the existence and uniqueness of weak solutions by means of the Galerkin approximation. Finally, an optimal control problem is considered and solved.
1989 ◽
Vol 2
(1)
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pp. 29-31
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2019 ◽
Vol 50
(4)
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pp. 871-887
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2000 ◽
Vol 330
(11)
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pp. 1007-1011
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2018 ◽
Vol 146
(10)
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pp. 4429-4445
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