On the decay of higher order derivatives of solutions to Ladyzhenskaya model for incompressible viscous flows

DOI10.1007/s11425-007-0196-zzbMath1153.35062OpenAlexW1545348955MaRDI QIDQ943444

Wei Jiang, Bo-Qing Dong

Publication date: 9 September 2008

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0196-z

zbMATH Keywords

upper and lower bounds\(L^2\) decayLadyzhenskaya model

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45)

Related Items (8)

Existence of the uniform trajectory attractor for a 3D incompressible non-Newtonian fluid flow ⋮ Asymptotic profile of solutions to the two-dimensional dissipative quasi-geostrophic equation ⋮ Error estimates for solutions of the semilinear parabolic equation in whole space ⋮ Large time behavior for weak solutions of the 3D globally modified Navier-Stokes equations ⋮ The asymptotic behavior of solutions to three-dimensional Navier-Stokes equations with nonlinear damping ⋮ \(H^4\)-boundedness of pullback attractor for a 2D non-Newtonian fluid flow ⋮ Pullback dynamics of a 3D modified Navier-Stokes equations with double delays ⋮ Random attractor for the Ladyzhenskaya model with additive noise

Cites Work

• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
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• Large time behavior to the system of incompressible non-Newtonian fluids in \(\mathbb{R}^2\)
• Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
• Algebraic L2 decay for the solution to a class system of non-Newtonian fluid in Rn
• Large time behaviour of solutions to the navier-stokes equations
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• Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
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• On the decay of higher-order norms of the solutions of Navier–Stokes equations
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