Equilibrium configuration of a rectangular obstacle immersed in a channel flow

DOI10.5802/crmath.95zbMath1455.35168arXiv2004.10062OpenAlexW3109630214MaRDI QIDQ2214472

Denis Bonheure, Giovanni Paolo Galdi, Gazzola, Filippo

Publication date: 8 December 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10062

zbMATH Keywords

channel flowPoiseuille flowobstacle

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Viscous vortex flows (76D17) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Existence and uniqueness result for a fluid-structure-interaction evolution problem in an unbounded 2D channel ⋮ Asymmetric equilibrium configurations of a body immersed in a 2d laminar flow ⋮ Attractors for a fluid-structure interaction problem in a time-dependent phase space ⋮ On the steady motion of Navier-Stokes flows past a fixed obstacle in a three-dimensional channel under mixed boundary conditions ⋮ A connection between symmetry breaking for Sobolev minimizers and stationary Navier-Stokes flows past a circular obstacle

Cites Work

• Unnamed Item
• Shape variation and optimization. A geometrical analysis
• Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability
• Mathematical models for suspension bridges. Nonlinear structural instability
• Eight(y) mathematical questions on fluids and structures
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• The Differentiability of the Drag with Respect to the Variations of a Lipschitz Domain in a Navier--Stokes Flow
• Inertial migration of rigid spheres in two-dimensional unidirectional flows

This page was built for publication: Equilibrium configuration of a rectangular obstacle immersed in a channel flow