On the weak and strong solutions of the velocity-vorticity model of the $g$-Navier-Stokes equations

Authors: ÖZGE KAZAR, MERYEM KAYA

Abstract: In this work, we consider a velocity-vorticity formulation for the $g$-Navier-Stokes equations. The system is constructed by combining the velocity-pressure system which is included by using the rotational formulation of the nonlinearity and the vorticity equation for the $g$ -Navier-Stokes equations. We prove the existence and uniqueness of weak and strong solutions of this system with the periodic boundary conditions.

Keywords: Existence and uniqueness, velocity-vorticity formulation, $g$-Navier-Stokes Equations

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