EXISTENCE OF STRONG MILD SOLUTION OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE WITH NONDECAYING INITIAL DATA

From MaRDI portal
Publication:3118909

DOI10.4134/JKMS.2012.49.1.113zbMath1234.35176OpenAlexW2021582363MaRDI QIDQ3118909

Bum Ja Jin, Hyeong-Ohk Bae

Publication date: 6 March 2012

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2012.49.1.113




Related Items (26)

Navier wall law for nonstationary viscous incompressible flowsOn estimates for the Stokes flow in a space of bounded functionsDecay properties for the incompressible Navier-Stokes flows in a half spaceMaximum norm estimates of the solution of the Navier-Stokes equations in the halfspace with bounded initial dataA Liouville Theorem for the Planer Navier-Stokes Equations with the No-Slip Boundary Condition and Its Application to a Geometric Regularity CriterionGlobal existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in half-planeAnalyticity of the Stokes semigroup in spaces of bounded functionsWeighted decay results for the nonstationary Stokes flow and Navier-Stokes equations in half spacesAlgebraic decay of weak solutions to 3D Navier-Stokes equations in general unbounded domainsThe exponential decay of solutions to the nonstationary magneto‐hydrodynamic equationsGlobal well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying dataThe Green tensor of the nonstationary Stokes system in the half spaceUnnamed ItemLong-time behavior for the nonstationary Navier-Stokes flows in \(L^1(\mathbb R_+^n)\)Decay results of the nonstationary Navier-Stokes flows in half-spacesSome uniqueness result of the Stokes flow in a half space in a space of bounded functionsThe \(L^\infty\)-Stokes semigroup in exterior domainsContinuous alignment of vorticity direction prevents the blow-up of the Navier-Stokes flow under the no-slip boundary conditionOn weighted estimates for the Stokes flows, with application to the Navier-Stokes equationsScale-invariant estimates and vorticity alignment for Navier-Stokes in the half-space with no-slip boundary conditionsAsymptotic behavior of solutions to the nonstationary magneto-hydrodynamic equationsEstimates for the Navier-Stokes equations in the half-space for nonlocalized dataAttractors for the inhomogeneous incompressible Navier-Stokes flowsThe Navier-Stokes equations in a space of bounded functionsAsymptotic behavior of weak solutions to the inhomogeneous Navier-Stokes equationsExterior Navier–Stokes flows for bounded data




This page was built for publication: EXISTENCE OF STRONG MILD SOLUTION OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE WITH NONDECAYING INITIAL DATA