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Modeling of flows through a channel by the Navier–Stokes variational inequalities

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    SYSNO ASEP0540784
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleModeling of flows through a channel by the Navier–Stokes variational inequalities
    Author(s) Kračmar, S. (CZ)
    Neustupa, Jiří (MU-W) RID, SAI, ORCID
    Source TitleActa Polytechnica. - : České vysoké učení technické - ISSN 1210-2709
    Roč. 61, SI (2021), s. 89-98
    Number of pages10 s.
    Languageeng - English
    CountryCZ - Czech Republic
    KeywordsNavier-Stokes equation ; variational inequality ; do nothing outflow boundary condition
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    Method of publishingOpen access
    Institutional supportMU-W - RVO:67985840
    UT WOS000618346400009
    EID SCOPUS85101384090
    DOI10.14311/AP.2021.61.0089
    AnnotationWe deal with a mathematical model of a flow of an incompressible Newtonian fluid through a channel with an artificial boundary condition on the outflow. We explain how several artificial boundary conditions formally follow from appropriate variational formulations and the way one expresses the dynamic stress tensor. Predominantly considered to be the most appropriate from the physical point of view, does not enable one to derive an energy inequality, we explain how this problem can be overcome by using variational inequalities. We derive a priori estimates, which are the core of the proofs, and present theorems on the existence of solutions in the unsteady and steady cases.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2022
    Electronic addresshttps://doi.org/10.14311/AP.2021.61.0089
Number of the records: 1  

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