An initial and boundary value problem modeling of fish-like swimming
From MaRDI portal
Publication:930409
DOI10.1007/s00205-007-0092-2zbMath1138.76072OpenAlexW2109782501MaRDI QIDQ930409
Jean-François Scheid, Marius Tucsnak, Takéo Takahashi, Jorge Alonso San Martín
Publication date: 30 June 2008
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/inria-00087876/file/SMSTT.pdf
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Physiological flow (92C35) Other free boundary flows; Hele-Shaw flows (76D27) Biopropulsion in water and in air (76Z10)
Related Items
Existence of 3D strong solutions for a system modeling a deformable solid inside a viscous incompressible fluid ⋮ A fluid-structure model coupling the Navier-Stokes equations and the Lamé system ⋮ Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters ⋮ Locomotion and control of a self-propelled shape-changing body in a fluid ⋮ Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. I: The linearized system. ⋮ Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. II: The nonlinear system. ⋮ A modified Lagrange-Galerkin method for a fluid-rigid system with discontinuous density ⋮ Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible fluid ⋮ On the self-propulsion of a rigid body in a viscous liquid by time-periodic boundary data ⋮ ON THE STABILITY OF SELF-PROPELLED BODIES WITH RESPECT TO THEIR SHAPE MOTION ⋮ 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 ⋮ The Lagrange-Galerkin method for fluid-structure interaction problems ⋮ Existence for a quasi-static interaction problem between a viscous fluid and an active structure ⋮ The mathematical challenges and modelling of hydroelasticity ⋮ Remote trajectory tracking of a rigid body in an incompressible fluid at low Reynolds number ⋮ Locomotion of deformable bodies in an ideal fluid: Newtonian versus Lagrangian formalisms ⋮ Optimal control problem for viscous systems of conservation laws, with geometric parameter, and application to the shallow-water equations ⋮ 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 ⋮ Well-posedness and applications of classical elastohydrodynamics for a swimming filament ⋮ The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
- The interaction between quasilinear elastodynamics and the Navier-Stokes equations
- Existence of weak solutions for the motion of rigid bodies in a viscous fluid
- Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
- Existence of weak solutions for the motion of an elastic structure in an incompressible viscous fluid.
- On the motion of rigid bodies in a viscous incompressible fluid.
- Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions
- Motion of an elastic solid inside an incompressible viscous fluid
- On the steady self-propelled motion of a body in a viscous incompressible fluid
- A numerical study of undulatory swimming
- Survey of the mathematical theory of fish locomotion
- Locomotion of articulated bodies in a perfect fluid
- Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
- Mechanics of Swimming and Flying
- Mathematical biofluiddynamics and mechanophysiology of fish locomotion
- Fluid-particle flow: a symmetric formulation
- A high-order characteristics/finite element method for the incompressible Navier-Stokes equations
- Wellposedness for the Navier–Stokes flow in the exterior of a rotating obstacle
- Convergence of the Lagrange--Galerkin Method for the Equations Modelling the Motion of a Fluid-Rigid System
- Analysis of the swimming of long and narrow animals
- Weak solutions for a fluid-elastic structure interaction model
