Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition

DOI10.2969/jmsj/1180135499zbMath1124.35058OpenAlexW2140690553MaRDI QIDQ873721

Senjo Shimizu, Yoshihiro Shibata

Publication date: 2 April 2007

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

Full work available at URL: https://doi.org/10.2969/jmsj/1180135499

zbMATH Keywords

energy estimatesfree boundary problemStokes equationsanalytical semigroup

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

The \(L_p\)-\(L_q\) decay estimate for the multidimensional compressible flow with free surface in the exterior domain ⋮ \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle ⋮ Penalty method for the stationary Navier-Stokes problems under the slip boundary condition ⋮ On the Relation Between the Large Time Behavior of the Stokes Semigroup and the Decay of Steady Stokes Flow at Infinity ⋮ On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain ⋮ An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface ⋮ The Work of Yoshihiro Shibata ⋮ ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS ⋮ Decay estimates of gradient of the Stokes semigroup in exterior Lipschitz domains

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