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Weak-strong uniqueness for the compressible fluid-rigid body interaction
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SYSNO ASEP 0521522 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Weak-strong uniqueness for the compressible fluid-rigid body interaction Tvůrce(i) Kreml, Ondřej (MU-W) RID, SAI, ORCID
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Piasecki, T. (PL)Zdroj.dok. Journal of Differential Equations. - : Elsevier - ISSN 0022-0396
Roč. 268, č. 8 (2020), s. 4756-4785Poč.str. 30 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova fluid-structure interaction ; fluid ; incompressible fluid Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA19-04243S GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000510863100023 EID SCOPUS 85075398778 DOI 10.1016/j.jde.2019.10.038 Anotace In this work we study the coupled system of partial and ordinary differential equations describing the interaction between a compressible isentropic viscous fluid and a rigid body moving freely inside the fluid. In particular the position and velocity of the rigid body in the fluid are unknown and the motion of the rigid body is driven by the normal stress forces of the fluid acting on the boundary of the body. We prove that the strong solution, which is known to exist under certain smallness assumptions, is unique in the class of weak solutions to the problem. The proof relies on a correct definition of the relative energy, to use this tool we then have to introduce a change of coordinates to transform the strong solution to the domain of the weak solution in order to use it as a test function in the relative energy inequality. Estimating all arising terms we prove that the weak solution has to coincide with the transformed strong solution and finally that the transformation has to be in fact an identity. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2021 Elektronická adresa https://doi.org/10.1016/j.jde.2019.10.038
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