A simple proof of 𝐿^{𝑞}-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part I: Strong solutions
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Publication:4908272
DOI10.1090/S0002-9939-2012-11638-7zbMath1261.35106MaRDI QIDQ4908272
Mads Kyed, Giovanni Paolo Galdi
Publication date: 5 March 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)
Related Items (17)
Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ⋮ Asymptotic Structure of Steady Stokes Flow Around a Rotating Obstacle in Two Dimensions ⋮ On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle ⋮ Exponential decay of the vorticity in the steady-state flow of a viscous liquid past a rotating body ⋮ Viscous flow around a rigid body performing a time-periodic motion ⋮ On the Oseen-Type Resolvent Problem Associated with Time-Periodic Flow past a Rotating Body ⋮ \(L^r\)-results of the stationary Navier-Stokes flows around a rotating obstacle ⋮ Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies ⋮ Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ⋮ On the asymptotic structure of a Navier-Stokes flow past a rotating body ⋮ Linearized stationary incompressible flow around rotating and translating bodies -- Leray solutions ⋮ A simple proof of 𝐿^{𝑞}-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part II: Weak solutions ⋮ A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ \(L^3\)-solutions for the stationary Navier-Stokes equations in the exterior of a rotating obstacle ⋮ On the asymptotic structure of steady Stokes and Navier-Stokes flows around a rotating two-dimensional body ⋮ Very weak solutions to the rotating Stokes, Oseen and Navier-Stokes problems in weighted spaces
Cites Work
- Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable
- The steady motion of a Navier-Stokes liquid around a rigid body
- Steady flow of a Navier-Stokes fluid around a rotating obstacle
- \(L^q\)-theory of a singular winding integral operator arising from fluid dynamics.
- An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
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