A Liouville theorem for the Stokes system in a half-space

DOI10.1007/s10958-013-1561-9zbMath1300.35094OpenAlexW2065089469MaRDI QIDQ744524

Gregory A. Seregin, Hao Jia, Vladimír Šverák

Publication date: 25 September 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-013-1561-9

zbMATH Keywords

Liouville theoremStokes system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (8)

Rescalings at possible singularities of Navier–Stokes equations in half-space ⋮ Asymptotic properties of steady plane solutions of the Navier-Stokes equations in a cone-like domain ⋮ Liouville theorem for 2D Navier-Stokes equations in a half space ⋮ Liouville-type theorems for the Navier–Stokes equations ⋮ On the large time \(L^\infty \)-estimates of the Stokes semigroup in two-dimensional exterior domains ⋮ Ancient solutions to Navier-Stokes equations in half space ⋮ A Liouville theorem for the Stokes system in a half-space ⋮ Infinite energy solutions to the Navier-Stokes equations in the half-space and applications

Cites Work

• On a bounded shear flow in a half-space
• Unbounded normal derivative for the Stokes system near boundary
• A Liouville theorem for the Stokes system in a half-space
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