The role of pressure in the theory of weak solutions to the Navier-Stokes equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524152" target="_blank" >RIV/67985840:_____/20:00524152 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-39639-8_4" target="_blank" >http://dx.doi.org/10.1007/978-3-030-39639-8_4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-39639-8_4" target="_blank" >10.1007/978-3-030-39639-8_4</a>
Alternative languages
Result language
angličtina
Original language name
The role of pressure in the theory of weak solutions to the Navier-Stokes equations
Original language description
Sections 1 and 2 contain an introduction, notation and definitions and basic properties of used function spaces and operators. A pressure, associated with a weak solution to the Navier-Stokes equations for incompressible fluid, is constructed in section 3. The interior regularity of the pressure in regions, where the velocity satisfies Serrin's integrability conditions, is studied in section 4. Finally, section 5 is devoted to criteria of regularity for weak solutions to the Navier-Stokes equations, formulated in terms of the pressure.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Fluids Under Pressure
ISBN
978-3-030-39638-1
Number of pages of the result
68
Pages from-to
349-416
Number of pages of the book
638
Publisher name
Springer
Place of publication
Basel
UT code for WoS chapter
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