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The motion of a rigid body and a viscous fluid in a bounded domain in presence of collisions
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SYSNO ASEP 0487359 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title The motion of a rigid body and a viscous fluid in a bounded domain in presence of collisions Author(s) Chemetov, N. (PT)
Nečasová, Šárka (MU-W) RID, SAI, ORCIDISSN 2577-8242 Article number 00014 Source Title Fluid Mechanics Research International Journal. - : MedCrave Group - ISSN 2577-8242
Roč. 2, č. 1 (2018)Number of pages 4 s. Language eng - English Country US - United States Keywords Navier-Stokes equations ; Navier boundary condition ; solidification Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA16-03230S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 DOI 10.15406/fmrij.2018.02.00014 Annotation We consider the motion of a rigid body in a bounded domain filled by viscous incompressible fluid. The fluid is described by the Navier-Stokes equations. We assume the Navier condition on the boundary of the body and the Dirichlet condition on the boundary of the domain. We give the global-in-time solvability result of the weak solution. The result allows a possibility of collisions of the body with the boundary of the domain. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2019
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