Asymptotic energy and enstrophy concentration in solutions to the Navier-Stokes equations in \(\mathbb{R}^{3}\)

DOI10.1007/S11565-009-0073-5zbMath1205.35211OpenAlexW2073767546MaRDI QIDQ626994

Zdeněk Skalák

Publication date: 19 February 2011

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-009-0073-5

zbMATH Keywords

Navier-Stokes equationsasymptotic behaviorenergy concentrationfast decaysenstrophy concentration

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 (3)

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 ⋮ Initial profile for the slow decay of the Navier-Stokes flow in the half-space

Cites Work

• Conditions for asymptotic energy and enstrophy concentration in solutions to the Navier-Stokes equations
• On asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations
• Large time behavior of energy in exponentially decreasing solutions of the Navier-Stokes equations
• Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries
• Asymptotic energy concentration in the phase space of the weak solutions to the Navier-Stokes equations
• On the decay of higher-order norms of the solutions of Navier–Stokes equations
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