Large time behavior of energy in exponentially decreasing solutions of the Navier-Stokes equations

DOI10.1016/j.na.2008.10.095zbMath1170.35496OpenAlexW4231386522MaRDI QIDQ1021757

Zdeněk Skalák

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.095

zbMATH Keywords

Navier-Stokes equationsglobal strong solutionenergy concentrationlarge time behavior of energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (5)

On large-time energy concentration in solutions to the Navier-Stokes equations in general domains ⋮ Solutions to the Navier-Stokes equations with the large time energy concentration in the low frequencies ⋮ Asymptotic energy and enstrophy concentration in solutions to the Navier-Stokes equations in \(\mathbb{R}^{3}\) ⋮ On large‐time energy concentration in solutions to the Navier‐Stokes equations in the whole 3D space ⋮ Initial profile for the slow decay of the Navier-Stokes flow in the half-space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains
• Fast decaying solutions of the Navier-Stokes equation and asymptotic properties
• On asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations
• Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries
• On upper and lower bounds of rates of decay for nonstationary Navier-Stokes flows in the whole space.
• Asymptotic energy concentration in the phase space of the weak solutions to the Navier-Stokes equations
• On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$
• Large time behaviour of solutions to the navier-stokes equations
• Decay Results for Weak Solutions of the Navier-Stokes Equations on Rⁿ
• Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
• Solutions of evolution equations of slow exponential decay'

This page was built for publication: Large time behavior of energy in exponentially decreasing solutions of the Navier-Stokes equations