WeightedLpDecay for Solutions of the Navier-Stokes Equations

DOI10.1080/03605300600781659zbMath1121.35101OpenAlexW2316733039MaRDI QIDQ5294665

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Publication date: 25 July 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300600781659

zbMATH Keywords

strong solutionsNavier-Stokes equationspatial decaytime decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

• Unnamed Item
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• A remark on time-analyticity for the Kuramoto--Sivashinsky equation
• A weighted equation approach to decay rate estimates for the Navier–Stokes equations
• Pointwise Decay of Solutions and of Higher Derivatives to Navier--Stokes Equations
• On the well‐posedness of the Euler equations in the Triebel‐Lizorkin spaces
• Temporal and spatial decays for the Navier–Stokes equations
• Weighted bounds for the velocity and the vorticity for the Navier–Stokes equations

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