Limits of the Stokes and Navier–Stokes equations in a punctured periodic domain

DOI10.1142/S0219530519500118zbMath1439.35392arXiv1407.6942OpenAlexW2962949210WikidataQ127548636 ScholiaQ127548636MaRDI QIDQ5220072

Gabriela Planas, Wei Xue, Jérôme Droniou, James C. Robinson, Michel Chipot

Publication date: 10 March 2020

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6942

zbMATH Keywords

Navier-Stokes equationsasymptotic behaviorPoisson problemflow around vanishing obstacle

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Initial-boundary value problems for second-order parabolic equations (35K20) Stokes and related (Oseen, etc.) flows (76D07) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20)

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The vanishing viscosity limit in the presence of a porous medium ⋮ On the motion of a nearly incompressible viscous fluid containing a small rigid body ⋮ On the motion of a small rigid body in a viscous compressible fluid ⋮ Small moving rigid body into a viscous incompressible fluid ⋮ A small solid body with large density in a planar fluid is negligible ⋮ On the small rigid body limit in 3D incompressible flows

Cites Work

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• On uniform estimates for Laplace equation in balls with small holes
• Small moving rigid body into a viscous incompressible fluid
• The motion of a fluid--rigid disc system at the zero limit of the rigid disc radius
• Incompressible flow around a small obstacle and the vanishing viscosity limit
• Numerical simulation of the fluid dynamics of 2D rigid body motion with the vortex particle method
• Compact sets in the space \(L^ p(0,T;B)\)
• A note on the boundary layer approach to the impulsively started flow past a flat plate
• Two dimensional incompressible ideal flow around a thin obstacle tending to a curve
• A small solid body with large density in a planar fluid is negligible
• On computation of the three-dimensional flow past a stretching sheet
• The motion of a fluid-rigid ball system at the zero limit of the rigid ball radius
• Two-dimensional incompressible viscous flow around a small obstacle
• Incompressible and ideal 2D flow around a small obstacle with constant velocity at infinity
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Photographic evidence of the formation and growth of vorticity behind plates accelerated from rest in still air
• Remarks on the vanishing obstacle limit for a 3D viscous incompressible fluid
• Two-dimensional incompressible viscous flow around a thin obstacle tending to a curve
• The flow of a viscous incompressible fluid past a normal flat plate at low and intermediate Reynolds numbers: the wake
• Three-dimensional Oseen flow past a flat plate
• Prandtl–Batchelor flow past a flat plate at normal incidence in a channel–inviscid analysis
• A coupled particle-continuum model: well-posedness and the limit of zero radius
• Two Dimensional Incompressible Ideal Flow Around a Small Obstacle
• 3D viscous incompressible fluid around one thin obstacle
• Vortex Dynamics in a Two-Dimensional Domain with Holes and the Small Obstacle Limit
• Vortex equilibrium in flows past bluff bodies
• On the small rigid body limit in 3D incompressible flows