Weak solutions to the time-fractional g-Navier-Stokes equations and optimal control

Sultana Ben Aadi; Khalid Akhlil; Khadija Aayadi

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arXiv · 2006.02865

Weak solutions to the time-fractional g-Navier-Stokes equations and optimal control

Sultana Ben Aadi·Khalid Akhlil·Khadija Aayadi

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Abstract

In this paper we introduce the $g-$Navier-Stokes equations with time-fractional derivative of order $\alpha\in(0,1)$ in domains of $\mathbb R^2$. We then study the existence and uniqueness of weak solutions by means of Galerkin approximation. Finally, an optimal control problem is considered and solved.

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Sultana Ben Aadi, Khalid Akhlil, Khadija Aayadi. 2020-06-04. Weak solutions to the time-fractional g-Navier-Stokes equations and optimal control. https://arxiv.org/abs/2006.02865

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