On the motion of a large number of small rigid bodies in a viscous incompressible fluid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00574185" target="_blank" >RIV/67985840:_____/23:00574185 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.matpur.2023.05.007" target="_blank" >https://doi.org/10.1016/j.matpur.2023.05.007</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matpur.2023.05.007" target="_blank" >10.1016/j.matpur.2023.05.007</a>

Result language
angličtina
Original language name
On the motion of a large number of small rigid bodies in a viscous incompressible fluid
Original language description
We consider the motion of N rigid bodies – compact sets (Sε1,⋯,SεN)ε>0 – immersed in a viscous incompressible fluid contained in a domain in the Euclidean space Rd, d=2,3. We show the fluid flow is not influenced by the presence of the infinitely many bodies in the asymptotic limit ε→0 and N=N(ε)→∞ as soon as diamSεi→0asε→0,i=1,⋯,N(ε). The result depends solely on the geometry of the bodies and is independent of their mass densities. Collisions are allowed and the initial data are arbitrary with finite energy.
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/GA21-02411S" target="_blank" >GA21-02411S: Solving ill posed problems in the dynamics of compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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