论文标题

时间分数G-Navier-Stokes方程和最佳控制的弱解决方案

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

论文作者

Aadi, Sultana Ben, Akhlil, Khalid, Aayadi, Khadija

论文摘要

在本文中,我们介绍了$ g- $ navier-stokes方程,并带有$ \ mathbb r^2 $的(0,1)$的订单$α\ in(0,1)$的时期导数。然后,我们通过Galerkin近似研究弱解的存在和独特性。最后,考虑并解决了最佳控制问题。

In this paper we introduce the $g-$Navier-Stokes equations with time-fractional derivative of order $α\in(0,1)$ 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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