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

DOI10.55730/1300-0098.3457OpenAlexW4387164376MaRDI QIDQ6198328

Publication date: 21 February 2024

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3457

zbMATH Keywords

existence and uniqueness $g$-Navier-Stokes equations velocity-vorticity formulation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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Optimal vorticity accuracy in an efficient velocity-vorticity method for the 2D Navier-Stokes equations
Dynamics of the $g$-Navier--Stokes equations
Long-time effects of bottom topography in shallow water
Global well-posedness for the lake equations
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Reaction-diffusion equation on thin domains
Navier-Stokes equations in three-dimensional thin domains with various boundary conditions
Feedback control problem for modified Kelvin-Voigt model
Existence of weak solutions of Theg-Kelvin-Voight equation
Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations
Optimal feedback control problem for inhomogeneous Voigt fluid motion model
On Error Analysis for the 3D Navier–Stokes Equations in Velocity-Vorticity-Helicity Form
Long-time asymptotics of the Navier-Stokes and vorticity equations on ℝ³
Global well-posedness for models of shallow water in a basin with a varying bottom
Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions

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