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.
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Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Project Number | - |
Publication Date | August 31, 2022 |
Submission Date | April 1, 2022 |
Acceptance Date | May 30, 2022 |
Published in Issue | Year 2022 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.