On shape stability of incompressible fluids subject to Navier's slip condition
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00373951" target="_blank" >RIV/67985840:_____/12:00373951 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00021-011-0086-6" target="_blank" >http://dx.doi.org/10.1007/s00021-011-0086-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-011-0086-6" target="_blank" >10.1007/s00021-011-0086-6</a>
Alternative languages
Result language
angličtina
Original language name
On shape stability of incompressible fluids subject to Navier's slip condition
Original language description
The paper is concerned with the equations of motion for incompressible fluids that slip at the wall. Particular interest is in the domain dependence of weak solutions. We prove that the solutions depend continuously on the perturbation of the boundary provided that the latter remains in the class C1, 111 . The result is applicable to a wide class of shape optimization problems and is optimal in terms of boundary regularity.
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/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Fluid Mechanics
ISSN
1422-6928
e-ISSN
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Volume of the periodical
14
Issue of the periodical within the volume
3
Country of publishing house
CH - SWITZERLAND
Number of pages
15
Pages from-to
575-589
UT code for WoS article
000308064800011
EID of the result in the Scopus database
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