\(L^r\)-results of the stationary Navier-Stokes flows around a rotating obstacle
DOI10.1007/s00033-023-02083-wzbMath1527.35210OpenAlexW4386393334MaRDI QIDQ6076744
Publication date: 22 September 2023
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-023-02083-w
Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stokes and related (Oseen, etc.) flows (76D07) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
- Very weak solutions of the stationary Navier-Stokes equations for an incompressible fluid past obstacles
- On the stationary Navier-Stokes flows around a rotating body
- \(L^q\)-estimates for the stationary Oseen equations on exterior domains
- Existence and regularity of very weak solutions of the stationary Navier-Stokes equations
- The steady motion of a Navier-Stokes liquid around a rigid body
- Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains
- An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle
- \(L^3\)-solutions for the stationary Navier-Stokes equations in the exterior of a rotating obstacle
- Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle
- The energy equality and regularity results for the stationary Navier-Stokes equations on the exterior of a rotating obstacle
- An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- On the existence of steady flows of a Navier–Stokes liquid around a moving rigid body
- The Oseen and Navier-Stokes equations in a non-solenoidal framework
- 𝐿^{𝑞}-approach of weak solutions to stationary rotating Oseen equations in exterior domains
- Lq‐estimates for the stationary Oseen equations on the exterior of a rotating obstacle
- 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
- ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS
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