A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations

DOI10.3934/dcdss.2013.6.1277zbMath1260.35112OpenAlexW2319796350MaRDI QIDQ1942839

Yoshikazu Giga

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2013.6.1277

zbMATH Keywords

Navier-Stokes equationsnon-slip boundary conditionLiouville problemPoiseuille type flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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A Liouville Theorem for the Planer Navier-Stokes Equations with the No-Slip Boundary Condition and Its Application to a Geometric Regularity Criterion ⋮ Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface ⋮ Liouville theorems for the stationary Navier-Stokes equation on a hyperbolic space ⋮ Liouville theorem for 2D Navier-Stokes equations in a half space ⋮ Localized smoothing for the Navier-Stokes equations and concentration of critical norms near singularities ⋮ Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains ⋮ Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains

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