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.
Existence and uniqueness, velocity-vorticity formulation, $g$-Navier-Stokes Equations
KAZAR, ÖZGE and KAYA, MERYEM
"On the weak and strong solutions of the velocity-vorticity model of the $g$-Navier-Stokes equations,"
Turkish Journal of Mathematics: Vol. 47:
6, Article 7.
Available at: https://journals.tubitak.gov.tr/math/vol47/iss6/7