Number of the records: 1
Interactions between Elasticity and Fluid Mechanics
- 1.
SYSNO ASEP 0565915 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title Motion of several rigid bodies in a compressible fluid - mixed case Author(s) Nečasová, Šárka (MU-W) RID, SAI, ORCID
Ramaswamy, M. (IN)
Roy, A. (DE)
Schlömerkemper, A. (DE)Source Title Interactions between Elasticity and Fluid Mechanics. - Berlin : EMS, 2022 / Garrione M. ; Gazzola F. - ISBN 978-3-98547-027-3 Pages s. 135-174 Number of pages 40 s. Number of copy 500 Number of pages 248 Publication form Print - P Language eng - English Country DE - Germany Keywords compressible fluids ; several rigid bodies ; mixed case Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA22-01591S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 DOI 10.4171/ESIAM/3/6 Annotation n this article we show local-in-time existence of a weak solution to a system of partial differential equations describing the evolution of a compressible isentropic fluid which contains several rigid bodies. The fluid-structure interaction is incorporated by the Navier-slip boundary condition at the interface of the fluid and the rigid bodies. At the boundary of the fluid’s container, we assume Dirichlet boundary conditions. This work follows an earlier article of the same authors regarding the evolution of a compressible fluid that contains one rigid body and assumes Navier-slip boundary conditions at the interface as well as at the boundary of the container. The novelties comprise a new bound on the maximal time, for which we can prove existence of weak solutions, different test functions and a different extension of the fluid velocity from the fluid domain to the whole container. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023
Number of the records: 1