On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes
Result description
We study an initial–boundary-value problem for time-dependent flows of heatconducting viscous incompressible fluids in a system of three-dimensional pipes on a time interval (0, T). We are motivated by the bounded domain approach with “donothing” boundary conditions. In terms of the velocity, pressure and temperature of the fluid, such flows are described by a coupled parabolic system with strong nonlinearities and including the natural boundary conditions for the velocity and temperature of the fluid on the part of the boundary where the fluid is supposed to leave the channel. The present analysis is devoted to the proof of the existence, regularity and uniqueness of the solution for the problem described above.
Keywords
Navier–Stokes equationsHeat equationHeat-conducting fluidQualitative propertiesMixed boundary conditions
The result's identifiers
Result code in IS VaVaI
Result on the web
http://www.sciencedirect.com/science/article/pii/S0362546X16302413
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes
Original language description
We study an initial–boundary-value problem for time-dependent flows of heatconducting viscous incompressible fluids in a system of three-dimensional pipes on a time interval (0, T). We are motivated by the bounded domain approach with “donothing” boundary conditions. In terms of the velocity, pressure and temperature of the fluid, such flows are described by a coupled parabolic system with strong nonlinearities and including the natural boundary conditions for the velocity and temperature of the fluid on the part of the boundary where the fluid is supposed to leave the channel. The present analysis is devoted to the proof of the existence, regularity and uniqueness of the solution for the problem described above.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis
ISSN
0362-546X
e-ISSN
1873-5215
Volume of the periodical
149
Issue of the periodical within the volume
January
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
25
Pages from-to
56-80
UT code for WoS article
000390497400003
EID of the result in the Scopus database
2-s2.0-84995563924
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Pure mathematics
Year of implementation
2017