Local in Time Strong Solvability of the Non - Steady Navier - Stokes Equations with Navier's Boundary Condition and the Question of the Inviscid Limit
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F10%3A00171268" target="_blank" >RIV/68407700:21220/10:00171268 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Local in Time Strong Solvability of the Non - Steady Navier - Stokes Equations with Navier's Boundary Condition and the Question of the Inviscid Limit
Original language description
In this Note, we prove the existence of strong solutions to the Navier-Stokes equations for incompressible viscous fluids in a general regular bounded domain of R3 on a "short" time interval (0, T_0), independent of the viscosity and of the friction between the fluid and the boundary. The solutions to the Navier-Stokes problem satisfy the inhomogeneous Navier's boundary condition and they reveal a remarkable structure of approximation of the solution to the Euler problem, which enables us to solve completely the question of the inviscid limit of the family of obtained solutions on the time interval (0, T_0).
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F08%2F0012" target="_blank" >GA201/08/0012: Qualitative analysis and numerical solution of flow problems</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Comptes Rendus Mathematique
ISSN
1631-073X
e-ISSN
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Volume of the periodical
348
Issue of the periodical within the volume
19-20
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
5
Pages from-to
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UT code for WoS article
000284983000010
EID of the result in the Scopus database
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