Liouville theorem for 2D Navier-Stokes equations in a half space

DOI10.1007/s10958-015-2595-yzbMath1331.35067arXiv1310.1494OpenAlexW1954353683MaRDI QIDQ906548

Gregory A. Seregin

Publication date: 22 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1494

zbMATH Keywords

half planemild bounded ancient solutions

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (11)

Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces ⋮ Localised necessary conditions for singularity formation in the Navier-Stokes equations with curved boundary ⋮ Asymptotic properties of steady plane solutions of the Navier-Stokes equations in a cone-like domain ⋮ Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data ⋮ Liouville-type theorems for the Navier–Stokes equations ⋮ On the large time \(L^\infty \)-estimates of the Stokes semigroup in two-dimensional exterior domains ⋮ Liouville theorems for the Stokes equations with applications to large time estimates ⋮ The vorticity equations in a half plane with measures as initial data ⋮ Scale-invariant estimates and vorticity alignment for Navier-Stokes in the half-space with no-slip boundary conditions ⋮ On local type I singularities of the Navier -- Stokes equations and Liouville theorems ⋮ Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains

Cites Work

• Liouville theorems for the Navier-Stokes equations and applications
• A Liouville theorem for the Stokes system in a half-space
• A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations
• Liouville theorems in unbounded domains for the time-dependent stokes system
• Rescalings at possible singularities of Navier–Stokes equations in half-space
• On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations
• Unnamed Item

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