Blow up and grazing collision in viscous fluid solid interaction systems
Hillairet, Matthieu ; Takahashi, Takéo
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010), p. 291-313 / Harvested from Numdam
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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.

Publié le : 2010-01-01
DOI : https://doi.org/10.1016/j.anihpc.2009.09.007
Classification:  35R35,  76D03,  76D05 
@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},
     volume = {27},
     year = {2010},
     pages = {291-313},
     doi = {10.1016/j.anihpc.2009.09.007},
     mrnumber = {2580511},
     zbl = {1187.35290},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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) pp. 291-313. doi : 10.1016/j.anihpc.2009.09.007. http://gdmltest.u-ga.fr/item/AIHPC_2010__27_1_291_0/

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