A Weak Solvability to the Steady Navier - Stokes Equations for Compressible Barotropic Fluid with Generalized Impermeability Boundary Conditions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F11%3A00180940" target="_blank" >RIV/68407700:21220/11:00180940 - isvavai.cz</a>
Result on the web
<a href="http://www.informaworld.com/smpp/content~db=all~content=a926690041~frm=abslink" target="_blank" >http://www.informaworld.com/smpp/content~db=all~content=a926690041~frm=abslink</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/00036811003738828" target="_blank" >10.1080/00036811003738828</a>
Alternative languages
Result language
angličtina
Original language name
A Weak Solvability to the Steady Navier - Stokes Equations for Compressible Barotropic Fluid with Generalized Impermeability Boundary Conditions
Original language description
We prove the existence of a steady solution to the Navier-Stokes equations for barotropic compressible fluid in a bounded simply connected domain with the prescribed generalized impermeability conditions u.n=0, cur u.n=0 and curl^2u.n=0 on the boundary,We assume that the state law for the pressure has the form P(rho)=rho^{gamma} for gamma>5/3. We prove several auxiliary lemmas, e.g. on solution of the Stokes problem with the generalized impermeability boundary conditions in W^{2,p}(Omega) or on extension of the equation of continuity satisfied in the sense of distributions from D'(Omega) to D'(R^3) for velocity with the normal component on the boundary of Omega equal to zero.
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
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applicable Analysis
ISSN
0003-6811
e-ISSN
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Volume of the periodical
90
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
17
Pages from-to
141-157
UT code for WoS article
000286823700010
EID of the result in the Scopus database
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