On the motion of rigid bodies in a viscous fluid

Eduard Feireisl

Applications of Mathematics (2002)

  • Volume: 47, Issue: 6, page 463-484
  • ISSN: 0862-7940

Abstract

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We consider the problem of motion of several rigid bodies in a viscous fluid. Both compressible and incompressible fluids are studied. In both cases, the existence of globally defined weak solutions is established regardless possible collisions of two or more rigid objects.

How to cite

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Feireisl, Eduard. "On the motion of rigid bodies in a viscous fluid." Applications of Mathematics 47.6 (2002): 463-484. <http://eudml.org/doc/33127>.

@article{Feireisl2002,
abstract = {We consider the problem of motion of several rigid bodies in a viscous fluid. Both compressible and incompressible fluids are studied. In both cases, the existence of globally defined weak solutions is established regardless possible collisions of two or more rigid objects.},
author = {Feireisl, Eduard},
journal = {Applications of Mathematics},
keywords = {rigid body; compressible fluid; incompressible fluid; global existence; rigid body; compressible fluid; incompressible fluid; global existence},
language = {eng},
number = {6},
pages = {463-484},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the motion of rigid bodies in a viscous fluid},
url = {http://eudml.org/doc/33127},
volume = {47},
year = {2002},
}

TY - JOUR
AU - Feireisl, Eduard
TI - On the motion of rigid bodies in a viscous fluid
JO - Applications of Mathematics
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 6
SP - 463
EP - 484
AB - We consider the problem of motion of several rigid bodies in a viscous fluid. Both compressible and incompressible fluids are studied. In both cases, the existence of globally defined weak solutions is established regardless possible collisions of two or more rigid objects.
LA - eng
KW - rigid body; compressible fluid; incompressible fluid; global existence; rigid body; compressible fluid; incompressible fluid; global existence
UR - http://eudml.org/doc/33127
ER -

References

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  14. Global weak solutions for the two dimensional motion of several rigid bodies in an incompressible viscous fluid, Arch. Rational Mech. Anal. 161 (2002), 93–112. (2002) MR1870954
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  16. On the effect of internal friction of fluids on the motion of pendulums, Trans. Cambridge Phil. Soc. 9 (1851), 80–85. (1851) 

Citations in EuDML Documents

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  1. Patricio Cumsille, Takéo Takahashi, Wellposedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid
  2. Jaime H. Ortega, Lionel Rosier, Takéo Takahashi, Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
  3. M. Hillairet, Chute stationnaire d’un solide dans un fluide visqueux incompressible au-dessus d’un plan incliné. Partie 2
  4. Jaime H. Ortega, Lionel Rosier, Takéo Takahashi, Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
  5. Jaime Ortega, Lionel Rosier, Takéo Takahashi, On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid
  6. Franck Sueur, Sur la dynamique de corps solides immergés dans un fluide incompressible

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