The vanishing limit of a rigid body in three-dimensional viscous incompressible fluid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10512328" target="_blank" >RIV/00216208:11320/25:10512328 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=O7c9.223HE" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=O7c9.223HE</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00208-024-03052-y" target="_blank" >10.1007/s00208-024-03052-y</a>

Result language
angličtina
Original language name
The vanishing limit of a rigid body in three-dimensional viscous incompressible fluid
Original language description
We consider the evolution of a small rigid body in an incompressible viscous fluid filling the whole space R3. When the small rigid body shrinks to a "massless" point in the sense that its density is constant, we prove that the solution of the fluid-rigid body system converges to a solution of the Navier-Stokes equations in the full space. Based on some Lp-Lq estimates of the fluid-structure semigroup and a fixed point argument, we obtain a uniform estimate of velocity of the rigid body. This allows us to construct admissible test functions which plays a key role in the procedure of passing to the limit.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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