On the trajectory of a light small rigid body in an incompressible viscous fluid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00584768" target="_blank" >RIV/67985840:_____/24:00584768 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00332-024-10022-w" target="_blank" >https://doi.org/10.1007/s00332-024-10022-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00332-024-10022-w" target="_blank" >10.1007/s00332-024-10022-w</a>

Result language
angličtina
Original language name
On the trajectory of a light small rigid body in an incompressible viscous fluid
Original language description
In this paper, we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid body in the limit when its mass and its size tend to zero. We show that the velocity of the center of mass of the rigid body coincides with the background fluid velocity in the limit. We are able to consider the limit when the volume of the rigid bodies converges to zero while their densities are a fixed constant.
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/GA22-01591S" target="_blank" >GA22-01591S: Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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