Decay rate of solutions to 3D Navier-Stokes-Voigt equations in \(H^m\) spaces

DOI10.1016/j.aml.2016.04.015zbMath1348.35180OpenAlexW2345992016MaRDI QIDQ308881

Pham Thi Trang, Cung The Anh

Publication date: 6 September 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.04.015

zbMATH Keywords

decay rateFourier splitting methodNavier-Stokes-Voigt equationsinductive argument

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Weak solutions to PDEs (35D30)

Related Items (13)

Stabilization of 3D Navier-Stokes-Voigt equations ⋮ Decay characterization of solutions to a 3D magnetohydrodynamics-\(\alpha\) model ⋮ Time optimal control of the unsteady 3D Navier-Stokes-Voigt equations ⋮ Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations ⋮ Optimal Control of Time-Periodic Navier-Stokes-Voigt Equations ⋮ Decay characterization of solutions to the viscous Camassa–Holm equations ⋮ Decay characterization of the solutions to the Navier–Stokes–Voigt equations with damping ⋮ Upper bounds on the number of determining nodes for 3D Navier–Stokes–Voigt equations ⋮ On the regularity and convergence of solutions to the 3D Navier-Stokes-Voigt equations ⋮ Unnamed Item ⋮ Uniform attractors of 3D Navier-Stokes-Voigt equations with memory and singularly oscillating external forces ⋮ Regularity of uniform attractor for 3D non-autonomous Navier-Stokes-Voigt equation ⋮ Global well-posedness and large time behavior of epitaxy thin film growth model

Cites Work

• Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\)
• Attractors for autonomous and nonautonomous 3D Navier-Stokes-Voight equations
• Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
• On questions of decay and existence for the viscous Camassa-Holm equations
• Global attractors and determining modes for the 3D Navier-Stokes-Voight equations
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• Decay characterization of solutions to Navier-Stokes-Voigt equations in terms of the initial datum
• Pull-back attractors for three-dimensional Navier—Stokes—Voigt equations in some unbounded domains
• Pullback attractors for three-dimensional non-autonomous Navier–Stokes–Voigt equations
• Large time behaviour of solutions to the navier-stokes equations
• Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces

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