Back to Search
Start Over
Weak solutions for the motion of a self-propelled deformable structure in a viscous Incompressible fluid
- Source :
- Acta Applicandae Mathematicae, Acta Applicandae Mathematicae, Springer Verlag, 2011, 116 (3), pp.329-352. ⟨10.1007/s10440-011-9646-2⟩, Acta Applicandae Mathematicae, 2011, 116 (3), pp.329-352. ⟨10.1007/s10440-011-9646-2⟩
- Publication Year :
- 2011
- Publisher :
- HAL CCSD, 2011.
-
Abstract
- We consider the three-dimensional motion of a self-propelled deformable structure into a viscous incompressible fluid. The deformation of the solid is given whereas its position is unknown. Such a system could model the propulsion of fish-like swimmers. The equations of motion of the fluid are the Navier-Stokes equations and the equations for the structure are deduced from Newton's laws. The corresponding system is a free boundary problem and the main result of the paper is the existence of weak solutions for this problem.
- Subjects :
- Physics
Partial differential equation
Deformation (mechanics)
Applied Mathematics
010102 general mathematics
Motion (geometry)
Equations of motion
Mechanics
01 natural sciences
Physics::Fluid Dynamics
010101 applied mathematics
Classical mechanics
Position (vector)
Fluid–structure interaction
Free boundary problem
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
0101 mathematics
Navier–Stokes equations
ComputingMilieux_MISCELLANEOUS
Subjects
Details
- Language :
- English
- ISSN :
- 01678019 and 15729036
- Database :
- OpenAIRE
- Journal :
- Acta Applicandae Mathematicae, Acta Applicandae Mathematicae, Springer Verlag, 2011, 116 (3), pp.329-352. ⟨10.1007/s10440-011-9646-2⟩, Acta Applicandae Mathematicae, 2011, 116 (3), pp.329-352. ⟨10.1007/s10440-011-9646-2⟩
- Accession number :
- edsair.doi.dedup.....51b0620f10080faab9c23fcf4efa49e0
- Full Text :
- https://doi.org/10.1007/s10440-011-9646-2⟩