The motion of the rigid body in viscous fluid including collisions. Global solvability result

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00463845" target="_blank" >RIV/67985840:_____/17:00463845 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.nonrwa.2016.09.011" target="_blank" >http://dx.doi.org/10.1016/j.nonrwa.2016.09.011</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2016.09.011" target="_blank" >10.1016/j.nonrwa.2016.09.011</a>

Result language
angličtina
Original language name
The motion of the rigid body in viscous fluid including collisions. Global solvability result
Original language description
We shall consider the problem of the motion of a rigid body in an incompressible viscous fluid filling a bounded domain. This problem was studied by several authors. They mostly considered classical non-slip boundary conditions, which gave them very paradoxical result of no collisions of the body with the boundary of the domain. Only recently there are results when the Navier type of boundary is considered. In our paper we shall consider the Navier condition on the boundary of the body and the non-slip condition on the boundary of the domain. This case admits collisions of the body with the boundary of the domain. We shall prove the global existence of weak solution of the problem.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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