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L-p-strong solution to fluid-rigid body interaction system with Navier slip boundary condition
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SYSNO ASEP 0548750 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title L-p-strong solution to fluid-rigid body interaction system with Navier slip boundary condition Author(s) Al Baba, H. (LB)
Ghosh, Amrita (MU-W) SAI
Muha, B. (HR)
Nečasová, Šárka (MU-W) RID, SAI, ORCIDSource Title Journal of Elliptic and Parabolic Equations. - : Springer - ISSN 2296-9020
Roč. 7, č. 2 (2021), s. 439-489Number of pages 51 s. Language eng - English Country CH - Switzerland Keywords fluid-structure interaction ; rigid body ; maximal regularity 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 000712496000001 EID SCOPUS 85117889785 DOI 10.1007/s41808-021-00134-9 Annotation We study a fluid-structure interaction problem describing movement of a rigid body inside a bounded domain filled by a viscous fluid. The fluid is modelled by the generalized incompressible Naiver–Stokes equations which include cases of Newtonian and non-Newtonian fluids. The fluid and the rigid body are coupled via the Navier slip boundary conditions and balance of forces at the fluid-rigid body interface. Our analysis also includes the case of the nonlinear slip condition. The main results assert the existence of strong solutions, in an Lp- Lq setting, globally in time, for small data in the Newtonian case, while existence of strong solutions in Lp-spaces, locally in time, is obtained for non-Newtonian case. The proof for the Newtonian fluid essentially uses the maximal regularity property of the associated linear system which is obtained by proving the R-sectoriality of the corresponding operator. The existence and regularity result for the general non-Newtonian fluid-solid system then relies upon the previous case. Moreover, we also prove the exponential stability of the system in the Newtonian case. 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/s41808-021-00134-9
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