ON THE UNIQUENESS OF THE SOLUTION AND FINITE-DIMENSIONAL ATTRACTORS FOR THE 3D FLOW WITH DYNAMIC SLIP BOUNDARY CONDITION

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10492763" target="_blank" >RIV/00216208:11320/24:10492763 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ZNhaXHnKFl" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ZNhaXHnKFl</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.57262/die037-1112-859" target="_blank" >10.57262/die037-1112-859</a>

Result language
angličtina
Original language name
ON THE UNIQUENESS OF THE SOLUTION AND FINITE-DIMENSIONAL ATTRACTORS FOR THE 3D FLOW WITH DYNAMIC SLIP BOUNDARY CONDITION
Original language description
We consider 3D incompressible non-Newtonian fluid, subject to a dynamic boundary condition. Using an iteration scheme in Nikolski-Bochner spaces, we obtain additional fractional time regularity of arbitrary weak solution, provided the power-law exponent is above the critical value r = 11/5. This implies uniqueness of solutions. We also show existence of the global attractor and even a finite-dimensional exponential attractor.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GX20-11027X" target="_blank" >GX20-11027X: Mathematical analysis of partial differential equations describing far-from-equilibrium open systems in continuum thermodynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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