On the L p - L q decay estimate for the Stokes equations with free boundary conditions in an exterior domain

DOI10.3233/ASY-171449zbMath1394.35373OpenAlexW2791882890MaRDI QIDQ4575572

Yoshihiro Shibata

Publication date: 13 July 2018

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-171449

zbMATH Keywords

free boundary problemStokes equationsexterior domains\(L_p\)-\(L_q\) decay estimatewithout surface tension

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) A priori estimates in context of PDEs (35B45) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35)

Related Items (6)

Maximal \(L^p-L^q\) regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation ⋮ The \(L_p\)-\(L_q\) decay estimate for the multidimensional compressible flow with free surface in the exterior domain ⋮ On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain ⋮ Periodic \(\mathrm{L}_p\) estimates by \(\mathscr{R}\)-boundedness: applications to the Navier-Stokes equations ⋮ ℛ $${\mathcal R}$$ Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations ⋮ Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains

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