\(L^q\)-theory of a singular winding integral operator arising from fluid dynamics.
From MaRDI portal
Publication:1880141
DOI10.2140/pjm.2004.215.297zbMath1057.35028OpenAlexW2031292884MaRDI QIDQ1880141
Toshiaki Hishida, Reinhard Farwig, Detlef Müller
Publication date: 17 September 2004
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2004.215.297
Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Integral operators (47G10)
Related Items (43)
Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ⋮ Stability of Steady Flow Past a Rotating Body ⋮ Asymptotic Structure of Steady Stokes Flow Around a Rotating Obstacle in Two Dimensions ⋮ Accuracy analysis of the boundary integral method for steady Navier-Stokes equations around a rotating obstacle ⋮ 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 ⋮ \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle ⋮ The Stokes flow around a rotating body in the whole space ⋮ Asymptotic Behavior of a Leray Solution around a Rotating Obstacle ⋮ The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body ⋮ The steady motion of a Navier-Stokes liquid around a rigid body ⋮ A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid ⋮ Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies ⋮ On the motion of several rigid bodies in an incompressible non-Newtonian and heat-conducting fluid ⋮ An \(L^{q}\)-approach with generalized anisotropic weights of the weak solution of the Oseen flow around a rotating body in the whole space ⋮ Spectral analysis of a Stokes-type operator arising from flow around a rotating body ⋮ On the stationary Navier-Stokes flows around a rotating body ⋮ Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ⋮ Asymptotic profile of steady Stokes flow around a rotating obstacle ⋮ On the asymptotic structure of a Navier-Stokes flow past a rotating body ⋮ 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 ⋮ The motion of a compressible viscous fluid around rotating body ⋮ Linearized stationary incompressible flow around rotating and translating bodies -- Leray solutions ⋮ On the spectrum of a Stokes-type operator arising from flow around a rotating body ⋮ A linearized model for compressible flow past a rotating obstacle: analysis via modified Bochner-Riesz multipliers ⋮ A simple proof of 𝐿^{𝑞}-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part I: Strong 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^{𝑞}-approach of weak solutions to stationary rotating Oseen equations in exterior domains ⋮ Anisotropic \(L^2\)-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body ⋮ An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle ⋮ Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable ⋮ Maximal regularity for the Stokes system on noncylindrical space-time domains ⋮ \(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body ⋮ Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body ⋮ Strong solutions to the Stokes equations of a flow around a rotating body in weighted Lq spaces ⋮ 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 ⋮ Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle ⋮ Steady solutions with finite kinetic energy for a perturbed Navier-Stokes system in \(\mathbb R^3\) ⋮ L p -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle ⋮ A weighted \(L^q\)-approach to Stokes flow around a rotating body
This page was built for publication: \(L^q\)-theory of a singular winding integral operator arising from fluid dynamics.