On the steady self-propelled motion of a body in a viscous incompressible fluid
From MaRDI portal
Publication:1805996
DOI10.1007/s002050050156zbMath0957.76012OpenAlexW2012404765MaRDI QIDQ1805996
Publication date: 25 March 2001
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002050050156
Navier-Stokes equationsStokes approximationexterior problemsteady self-propelled motionsurface velocity distribution
Related Items
A control theoretic approach to the swimming of microscopic organisms ⋮ Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid ⋮ On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid ⋮ Exact controllability of a fluid--rigid body system ⋮ Local null controllability of a rigid body moving into a Boussinesq flow ⋮ The steady motion of a Navier-Stokes liquid around a rigid body ⋮ An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow ⋮ A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid ⋮ A fluid-structure model coupling the Navier-Stokes equations and the Lamé system ⋮ Fluid-Rigid Structure Interaction System with Coulomb's Law ⋮ Stability of time-dependent motions for fluid-rigid ball interaction ⋮ On the motion of several rigid bodies in an incompressible non-Newtonian and heat-conducting fluid ⋮ Existence of strong solutions for the problem of a rigid-fluid system. ⋮ Locomotion and control of a self-propelled shape-changing body in a fluid ⋮ On the self-propulsion of a rigid body in a viscous liquid by time-periodic boundary data ⋮ An initial and boundary value problem modeling of fish-like swimming ⋮ The motion of a fluid-rigid ball system at the zero limit of the rigid ball radius ⋮ Nonuniqueness of a solution to the problem on motion of a rigid body in a viscous incompressible fluid ⋮ Solvability of the problem of the self-propelled motion of several rigid bodies in a viscous incompressible fluid ⋮ Moving boundary problems ⋮ Control at a distance of the motion of a rigid body immersed in a two-dimensional viscous incompressible fluid ⋮ $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids ⋮ Flow of a viscous incompressible fluid around a body: boundary-value problems and minimization of the work of a fluid ⋮ One-dimensional swimmers in viscous fluids: dynamics, controllability, and existence of optimal controls ⋮ A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\) ⋮ On the motion of rigid bodies in a viscous fluid. ⋮ Existence for a quasi-static interaction problem between a viscous fluid and an active structure ⋮ LOCOMOTION OF ARTICULATED BODIES IN AN IDEAL FLUID: 2D MODEL WITH BUOYANCY, CIRCULATION AND COLLISIONS ⋮ On the Oseen fundamental solution and the asymptotic profile of flows past a translating object ⋮ On the long-time behaviour of a rigid body immersed in a viscous fluid ⋮ Remote trajectory tracking of a rigid body in an incompressible fluid at low Reynolds number ⋮ Self-propelled motion of a torus rotating about its centerline in a viscous incompressible fluid ⋮ Self-propelled motion of a rigid body inside a density dependent incompressible fluid ⋮ Locomotion of deformable bodies in an ideal fluid: Newtonian versus Lagrangian formalisms ⋮ ON THE SELF-DISPLACEMENT OF DEFORMABLE BODIES IN A POTENTIAL FLUID FLOW ⋮ Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid ⋮ On the slow motion of a self-propelled rigid body in a viscous incompressible fluid. ⋮ Well-posedness of \(2-D\) and \(3-D\) swimming models in incompressible fluids governed by Navier-Stokes equations ⋮ The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation