ON LINEARIZATION PRINCIPLE FOR NAVIER-STOKES SYSTEM WITH DYNAMIC SLIP BOUNDARY CONDITION

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10475530" target="_blank" >RIV/00216208:11320/23:10475530 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=StkRxt7GlQ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=StkRxt7GlQ</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/cpaa.2023034" target="_blank" >10.3934/cpaa.2023034</a>

Result language
angličtina
Original language name
ON LINEARIZATION PRINCIPLE FOR NAVIER-STOKES SYSTEM WITH DYNAMIC SLIP BOUNDARY CONDITION
Original language description
We consider incompressible Navier-Stokes equations in a bounded 3D regular domain, coupled with the so-called dynamic boundary condition. We rigorously establish the principle of linearized stability. Namely, given a smooth stationary state, we prove that the linearized equation has a complete basis of generalized eigenfunctions, and that the non-linear stability depends on the supremum of the real part of spectrum in the usual way. We work in the class of weak solutions satisfying the energy inequality, for which the global existence (but not uniqueness) is known.
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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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