On the Instantaneous Spreading for the Navier–Stokes System in the Whole Space

DOI10.1051/cocv:2002021zbMath1080.35063OpenAlexW2006989472MaRDI QIDQ4421092

Lorenzo Brandolese, Yves Meyer

Publication date: 19 August 2003

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2002__8__273_0

zbMATH Keywords

Navier-Stokes equationssymmetriesspace-decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (16)

Pointwise decay estimate of Navier-Stokes flows in the half space with slowly decreasing initial value ⋮ Spatial asymptotic expansions in the incompressible Euler equation ⋮ Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations. ⋮ New asymptotic profiles of nonstationary solutions of the Navier-Stokes system ⋮ Perfect fluid flows on \(\mathbb{R}^d\) with growth/decay conditions at infinity ⋮ On the asymptotic behavior of solutions of the 2d Euler equation ⋮ Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces ⋮ Asymptotic profiles and concentration-diffusion effects in fractional incompressible flows ⋮ On large‐time energy concentration in solutions to the Navier‐Stokes equations in the whole 3D space ⋮ Notes on the space-time decay rate of the Stokes flows in the half space ⋮ On the characterization of the Navier-Stokes flows with the power-like energy decay ⋮ Conditions on the Pressure for Vanishing Velocity in the Incompressible Fluid Flows in ℝ^N ⋮ On the weighted decay for solutions of the Navier-Stokes system ⋮ Real Variable Methods in Harmonic Analysis and Navier–Stokes Equations ⋮ Stability of singular solutions to the Navier-Stokes system ⋮ Spatial decay of the velocity field of an incompressible viscous fluid in \(\mathbb R^d\)

Cites Work

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• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Some integral identities and remarks on the decay at infinity of the solutions to the Navier-Stokes equations in the entire space
• On the localization of symmetric and asymmetric solutions of the Navier–Stokes equations in
• On the decay properties of solutions to the non-stationary Navier–Stokes equations in R³
• A weighted equation approach to decay rate estimates for the Navier–Stokes equations

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