Generalized Scale-Invariant Solutions to the Two-Dimensional Stationary Navier--Stokes Equations

DOI10.1137/140963030zbMath1446.76092arXiv1403.7330OpenAlexW2023872134MaRDI QIDQ5253432

Peter Wittwer, Julien Guillod

Publication date: 26 May 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7330

zbMATH Keywords

Navier-Stokes equationsexact solutionsfluid-structure interactionsspirals

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (7)

Self-similar 2d Euler solutions with mixed-sign vorticity ⋮ Self-similar solutions of stationary Navier-Stokes equations ⋮ On the asymptotic behaviour of 2D stationary Navier–Stokes solutions with symmetry conditions ⋮ The two‐dimensional stationary Navier–Stokes equations in toroidal Besov spaces ⋮ Existence of the stationary Navier-Stokes flow in \(\mathbb{R}^2\) around a radial flow ⋮ Stability of planar exterior stationary flows with suction ⋮ On the asymptotic stability of steady flows with nonzero flux in two-dimensional exterior domains

Cites Work

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• Asymptotic behaviour of solutions to the stationary Navier–Stokes equations in two-dimensional exterior domains with zero velocity at infinity
• On steady Stokes and Navier-Stokes problems with zero velocity at infinity in a three-dimensional exterior domain

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