A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid

DOI10.1016/j.anihpc.2016.11.003zbMath1457.76070OpenAlexW2222004866MaRDI QIDQ1679723

Ana Leonor Silvestre, Toshiaki Hishida, Takéo Takahashi

Publication date: 21 November 2017

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2016.11.003

zbMATH Keywords

exterior domainrotating bodyasymptotic solution behavior

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Flow control and optimization for incompressible viscous fluids (76D55) PDEs in connection with control and optimization (35Q93)

Related Items (5)

Stability of time-dependent motions for fluid-rigid ball interaction ⋮ On the self-propulsion of a rigid body in a viscous liquid by time-periodic boundary data ⋮ On the Oseen fundamental solution and the asymptotic profile of flows past a translating object ⋮ Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system ⋮ Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid

Cites Work

• On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains
• Asymptotic profile of steady Stokes flow around a rotating obstacle
• Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable
• Asymptotic structure of a Leray solution to the Navier-Stokes flow around a rotating body
• The stationary exterior 3D-problem of Oseen and Navier-Stokes equations in anisotropically weighted spaces
• The steady motion of a Navier-Stokes liquid around a rigid body
• On the steady self-propelled motion of a body in a viscous incompressible fluid
• \(L^q\)-theory of a singular winding integral operator arising from fluid dynamics.
• On the asymptotic structure of a Navier-Stokes flow past a rotating body
• \(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body
• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle
• ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID
• Prolongement Unique Des Solutions
• A control theoretic approach to the swimming of microscopic organisms
• Optimal Boundary Control for the Evolutionary Navier--Stokes System: The Three-Dimensional Case
• Estimates of Oseen kernels in weighted \(L^p\) spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid