An \(L^{q}\)-approach with generalized anisotropic weights of the weak solution of the Oseen flow around a rotating body in the whole space

DOI10.1016/j.na.2009.07.017zbMath1239.76020OpenAlexW1973926576MaRDI QIDQ425924

Patrick Penel, Stanislav Kračmar, Katrin Schumacher, Miroslav Krbec, Šarka Matušú-Nečasová

Publication date: 9 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.07.017

zbMATH Keywords

maximal operatorsone-sided weightsLittlewood-Paley theoryanisotropic Muckenhoupt weightsone-sided maximal operatorsrotating obstaclesstationary Oseen flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (5)

Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ⋮ Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ⋮ Linearized stationary incompressible flow around rotating and translating bodies: asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity ⋮ Linearized stationary incompressible flow around rotating and translating bodies -- Leray solutions ⋮ A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation

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