𝐿^{𝑞}-approach of weak solutions to stationary rotating Oseen equations in exterior domains

DOI10.1090/S0033-569X-10-01210-4zbMath1258.76058OpenAlexW2092419006MaRDI QIDQ3586727

Patrick Penel, Stanislav Kračmar, Šarka Matušú-Nečasová

Publication date: 1 September 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/journals/qam/2010-68-03/S0033-569X-10-01210-4/home.html

zbMATH Keywords

weak solutionexterior domainrotating bodystationary Oseen flow\(L^q\) approach

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (6)

Steady-State Navier–Stokes Problem Past a Rotating Body: Geometric-Functional Properties and Related Questions ⋮ The energy equality and regularity results for the stationary Navier-Stokes equations on the exterior of a rotating obstacle ⋮ \(L^r\)-results of the stationary Navier-Stokes flows around a rotating obstacle ⋮ Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies ⋮ A simple proof of 𝐿^{𝑞}-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part II: Weak solutions ⋮ Very weak solutions to the rotating Stokes, Oseen and Navier-Stokes problems in weighted spaces

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