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

Year 2022, Volume: 26 Issue: 4, 695 - 702, 31.08.2022

Özge Kazar , Meryem Kaya

https://doi.org/10.16984/saufenbilder.1097179

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=(0,1)^2⊂R^2.

Keywords

Existence and uniqueness, g-Navier-Stokes equations, inviscid velocity-vorticity model

Supporting Institution

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Thanks

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References

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