Global Existence and Uniqueness of The Inviscid Velocity-Vorticity Model of The g-Navier-Stokes Equations

Authors : Özge KAZAR, Meryem KAYA

Pages : 695-702

Doi:10.16984/saufenbilder.1097179

View : 22 | Download : 5

Publication Date : 2022-08-31

Article Type : Research Paper

Abstract :In this paper, we prove the global existence and uniqueness of the weak solutions to the inviscid velocity-vorticity model of the g-Navier-Stokes equations. The system is performed by entegrating the velocity-pressure system which is involved by using the rotational formulation of the nonlinearity and the vorticity equation for the g-Navier-Stokes equations without viscosity term. In this study we particularly interest the inviscid velocity-vorticity system of the g-Navier-Stokes equations over the two dimensional periodic box Ω=insert ignore into journalissuearticles values(0,1);^2⊂R^2.
Keywords : Existence and uniqueness, g Navier Stokes equations, inviscid velocity vorticity model