Spectral Galerkin method in space and time for the 2D \(g\)-Navier-Stokes equations

DOI10.1155/2013/805685zbMath1470.76059OpenAlexW2062311571WikidataQ58917505 ScholiaQ58917505MaRDI QIDQ2319124

Dao Trong Quyet

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/805685

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• Existence and finite time approximation of strong solutions to 2D \(g\)-Navier-Stokes equations
• Galerkin and subspace decomposition methods in space and time for the Navier-Stokes equations
• The global attractor of g-Navier-Stokes equations with linear dampness on \(R^2\)
• The dimension of attractor of the 2D \(g\)-Navier--Stokes equations
• Convergence of the \(g\)-Navier-Stokes equations
• Dynamics of the \(g\)-Navier--Stokes equations
• Existence of solutions of the \(g\)-Navier-Stokes equations
• Long-time behavior for 2D non-autonomous g-Navier–Stokes equations
• THE GLOBAL ATTRACTOR OF THE 2D G-NAVIER-STOKES EQUATIONS ON SOME UNBOUNDED DOMAINS
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• Multilevel Methods in Space and Time for the Navier--Stokes Equations
• Long time stability and convergence for fully discrete nonlinear galerkin methods
• Stability and error analysis for a spectral Galerkin method for the Navier‐Stokes equations with H² or H¹ initial data
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