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Measure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction
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SYSNO ASEP 0542432 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Measure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction Author(s) Caggio, M. (HR)
Kreml, Ondřej (MU-W) RID, SAI, ORCID
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Roy, Arnab (MU-W) SAI, ORCID, RID
Tang, T. (CN)Article number 50 Source Title Journal of Mathematical Fluid Mechanics. - : Springer - ISSN 1422-6928
Roč. 23, č. 3 (2021)Number of pages 24 s. Language eng - English Country CH - Switzerland Keywords Euler equations ; fluid-rigid body interaction ; measure-valued solutions ; weak–strong uniqueness Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000647419800007 EID SCOPUS 85105487425 DOI 10.1007/s00021-021-00581-3 Annotation We consider a coupled system of partial and ordinary differential equations describing the interaction between an incompressible inviscid fluid and a rigid body moving freely inside the fluid. We prove the existence of measure-valued solutions which is generated by the vanishing viscosity limit of incompressible fluid–rigid body interaction system under some physically constitutive relations. Moreover, we show that the measure-valued solution coincides with strong solution on the interval of its existence. This relies on the weak-strong uniqueness analysis. This is the first result of an existence of measure-valued solution and weak-strong uniqueness in measure-valued sense in the case of inviscid fluid-structure interaction. 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/10.1007/s00021-021-00581-3
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