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Self-propelled motion of a rigid body inside a density dependent incompressible fluid
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SYSNO ASEP 0540653 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Self-propelled motion of a rigid body inside a density dependent incompressible fluid Author(s) Nečasová, Šárka (MU-W) RID, SAI, ORCID
Roy, Arnab (MU-W) SAI, ORCID, RID
Ramaswamy, M. (IN)
Schlömerkemper, A. (DE)Article number 9 Source Title Mathematical Modelling of Natural Phenomena. - : EDP Sciences - ISSN 0973-5348
Roč. 16, č. 1 (2021)Number of pages 26 s. Language eng - English Country FR - France Keywords self-propelled motion ; fluid-structure interaction system ; Navier–Stokes equations ; nonnegative density ; Navier boundary conditions Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000626127800003 EID SCOPUS 85102145855 DOI 10.1051/mmnp/2020052 Annotation This paper is devoted to the existence of a weak solution to a system describing a self-propelled motion of a rigid body in a viscous fluid in the whole ℝ3. The fluid is modelled by the incompressible nonhomogeneous Navier-Stokes system with a nonnegative density. The motion of the rigid body is described by the balance of linear and angular momentum. We consider the case where slip is allowed at the fluid-solid interface through Navier condition and prove the global existence of a weak solution. 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/10.1051/mmnp/2020052
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