Existence of Strong Solutions for a Perfect Elastic Beam Interacting with Navier–Stokes Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10512316" target="_blank" >RIV/00216208:11320/25:10512316 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=UbkUt.-ZTb" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=UbkUt.-ZTb</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00220-025-05386-3" target="_blank" >10.1007/s00220-025-05386-3</a>

Result language
angličtina
Original language name
Existence of Strong Solutions for a Perfect Elastic Beam Interacting with Navier–Stokes Equations
Original language description
A perfectly elastic beam is situated on top of a two dimensional fluid canister. The beam is deforming in accordance to an interaction with a Navier-Stokes fluid. Hence a hyperbolic equation is coupled to the Navier-Stokes equation. The coupling is partially of geometric nature, as the geometry of the fluid domain is changing in accordance to the motion of the beam. Here the existence of a unique strong solution for large initial data and all times up to geometric degeneracy is shown. For that an a-priori estimate on the time-derivative of the coupled solution is introduced. For the Navier-Stokes part it is a critical estimate in the spirit of Ladyzhenskaya applied directly to the in-time differentiated system.
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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