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On the Navier-Stokes Flows for Heat-Conducting Fluids with Mixed Boundary Conditions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F12%3A00185352" target="_blank" >RIV/68407700:21110/12:00185352 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.sciencedirect.com/science/article/pii/S0022247X11011206" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0022247X11011206</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jmaa.2011.12.017" target="_blank" >10.1016/j.jmaa.2011.12.017</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the Navier-Stokes Flows for Heat-Conducting Fluids with Mixed Boundary Conditions

  • Original language description

    We consider a coupled model for steady flows of viscous incompressible heat-conducting fluids with temperature dependent material coefficients in a fixed three-dimensional open cylindrical channel. We introduce the Banach space $X$ and $Y$, respectively,to be the spaces of possible solutions of this problem and the space of its data, respectively. We show that the corresponding operator of the problem acting between $X$ and $Y$ is Frechet differentiable. Applying the local diffeomorphism theorem we getthe local solvability results for a variational formulation.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>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 Analysis and Its Applications

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    389

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    12

  • Pages from-to

    769-780

  • UT code for WoS article

    000300206700006

  • EID of the result in the Scopus database