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Modeling of flows through a channel by the Navier–Stokes variational inequalities
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SYSNO ASEP 0540784 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Modeling of flows through a channel by the Navier–Stokes variational inequalities Author(s) Kračmar, S. (CZ)
Neustupa, Jiří (MU-W) RID, SAI, ORCIDSource Title Acta Polytechnica. - : České vysoké učení technické - ISSN 1210-2709
Roč. 61, SI (2021), s. 89-98Number of pages 10 s. Language eng - English Country CZ - Czech Republic Keywords Navier-Stokes equation ; variational inequality ; do nothing outflow boundary condition Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000618346400009 EID SCOPUS 85101384090 DOI 10.14311/AP.2021.61.0089 Annotation We 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://doi.org/10.14311/AP.2021.61.0089
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