On the motion of a small rigid body in a viscous compressible fluid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00573343" target="_blank" >RIV/67985840:_____/23:00573343 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1080/03605302.2023.2202733" target="_blank" >https://doi.org/10.1080/03605302.2023.2202733</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03605302.2023.2202733" target="_blank" >10.1080/03605302.2023.2202733</a>

Result language
angličtina
Original language name
On the motion of a small rigid body in a viscous compressible fluid
Original language description
We consider the motion of a small rigid object immersed in a viscous compressible fluid in the 3-dimensional Eucleidean space. Assuming the object is a ball of a small radius ε we show that the behavior of the fluid is not influenced by the object in the asymptotic limit (Formula presented.) The result holds for the isentropic pressure law (Formula presented.) for any (Formula presented.) under mild assumptions concerning the rigid body density. In particular, the latter may be bounded as soon as (Formula presented.) The proof uses a new method of construction of the test functions in the weak formulation of the problem, and, in particular, a new form of the so-called Bogovskii operator.
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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