Existence of solutions of the \(g\)-Navier-Stokes equations

DOI10.11650/twjm/1500558459zbMath1060.35103OpenAlexW1540314245MaRDI QIDQ1880538

Hyeong-Ohk Bae, Jaiok Roh

Publication date: 28 September 2004

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

Full work available at URL: https://doi.org/10.11650/twjm/1500558459

zbMATH Keywords

existenceuniquenessstrong solutionsweak solutions\textit{g}-Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (24)

Global attractor of 2D autonomous \(g\)-Navier-Stokes equations ⋮ Existence of weak solutions of Theg-Kelvin-Voight equation ⋮ On the stationary solutions to 2D \(g\)-Navier-Stokes equations ⋮ The long-time behavior of 2D nonautonomous \(g\)-Navier-Stokes equations with weak dampness and time delay ⋮ Random attractors for the two-dimensional stochastic g-Navier-Stokes equations ⋮ Pullback attractor of 2D non-autonomous \(g\)-Navier-Stokes equations on some bounded domains ⋮ Regular measurable backward compact random attractor for \(g\)-Navier-Stokes equation ⋮ Existence and finite time approximation of strong solutions to 2D \(g\)-Navier-Stokes equations ⋮ Weak solutions to the time-fractional \(g\)-Navier-Stokes equations and optimal control ⋮ On the stability of solutions to stochastic 2D \(g\)-Navier-Stokes equations with finite delays ⋮ Dynamics of the stochastic \(g\)-Navier-Stokes equations driven by nonlinear noise ⋮ Pullback attractors in \(V_g\) for non-autonomous 2D \(g\)-Navier-Stokes equations in unbounded domains ⋮ The uniform asymptotic behavior of solutions for 2D g-Navier-Stokes equations with nonlinear dampness and its dimensions ⋮ Pullback attractor of 2D nonautonomous \(g\)-Navier-Stokes equations with linear dampness ⋮ On the weak and strong solutions of the velocity-vorticity model of the $g$-Navier-Stokes equations ⋮ STABILIZATION OF 2D g-NAVIER-STOKES EQUATIONS ⋮ Local uniformly upper semi-continuity of random attractor for g-Navier–Stokes equation ⋮ The global attractor of g-Navier-Stokes equations with linear dampness on \(R^2\) ⋮ Asymptotic behavior of stochastic g-Navier-Stokes equations on a sequence of expanding domains ⋮ Large-domain stability of random attractors for stochastic \(g\)-Navier-Stokes equations with additive noise ⋮ Spectral Galerkin method in space and time for the 2D \(g\)-Navier-Stokes equations ⋮ Asymptotically autonomous dynamics for non-autonomous stochastic \(g\)-Navier-Stokes equation with additive noise ⋮ Unnamed Item ⋮ Weak solutions to the time-fractional \(g\)-Bénard equations

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