Geodesic
Blow up and grazing collision in viscous fluid solid interaction systems
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 291-313

Voir la notice de l'article provenant de la source Numdam

We investigate qualitative properties of strong solutions to a classical system describing the fall of a rigid ball under the action of gravity inside a bounded cavity filled with a viscous incompressible fluid. We prove contact between the ball and the boundary of the cavity implies blow up of strong solutions and such a contact has to occur in finite time under symmetry assumptions on the initial data.

DOI : 10.1016/j.anihpc.2009.09.007
Classification : 35R35, 76D03, 76D05
Keywords: Fluid–structure interaction, Navier–Stokes equations, Rigid body, Cauchy theory, Qualitative properties, Collisions 
@article{AIHPC_2010__27_1_291_0,
     author = {Hillairet, Matthieu and Takahashi, Tak\'eo},
     title = {Blow up and grazing collision in viscous fluid solid interaction systems},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {291--313},
     publisher = {Elsevier},
     volume = {27},
     number = {1},
     year = {2010},
     doi = {10.1016/j.anihpc.2009.09.007},
     mrnumber = {2580511},
     zbl = {1187.35290},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.007/}
}
TY  - JOUR
AU  - Hillairet, Matthieu
AU  - Takahashi, Takéo
TI  - Blow up and grazing collision in viscous fluid solid interaction systems
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2010
SP  - 291
EP  - 313
VL  - 27
IS  - 1
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.007/
DO  - 10.1016/j.anihpc.2009.09.007
LA  - en
ID  - AIHPC_2010__27_1_291_0
ER  - 
%0 Journal Article
%A Hillairet, Matthieu
%A Takahashi, Takéo
%T Blow up and grazing collision in viscous fluid solid interaction systems
%J Annales de l'I.H.P. Analyse non linéaire
%D 2010
%P 291-313
%V 27
%N 1
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.007/
%R 10.1016/j.anihpc.2009.09.007
%G en
%F AIHPC_2010__27_1_291_0
Hillairet, Matthieu; Takahashi, Takéo. Blow up and grazing collision in viscous fluid solid interaction systems. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 291-313. doi: 10.1016/j.anihpc.2009.09.007

Cité par Sources :