On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00601682" target="_blank" >RIV/67985840:_____/24:00601682 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10884-023-10263-5" target="_blank" >https://doi.org/10.1007/s10884-023-10263-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10884-023-10263-5" target="_blank" >10.1007/s10884-023-10263-5</a>

Result language
angličtina
Original language name
On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three
Original language description
In this paper we study the evolution of a small rigid body in a viscous incompressible fluid, in particular we show that a small particle is not accelerated by the fluid in the limit when its size converges to zero under a lower bound on its mass. This result is based on a new a priori estimate on the velocities of the centers of mass of rigid bodies that holds in the case when their masses are also allowed to decrease to zero.
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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