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

Kazar Ö., Kaya M.

SAKARYA UNIVERSITY JOURNAL OF SCIENCE, vol.26, no.4, pp.695-702, 2022 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.16984/saufenbilder.1097179
  • Journal Name: SAKARYA UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Academic Search Premier, Business Source Elite, Business Source Premier, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.695-702
  • Gazi University Affiliated: Yes

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.