Fluid–rigid body interaction in a compressible electrically conducting fluid

Jan Scherz

Mathematische Nachrichten, 2023, vol. 296, issue 12, 5513-5550

Abstract: We consider a system of multiple insulating rigid bodies moving inside of an electrically conducting compressible fluid. In this system, we take into account the interaction of the fluid with the bodies as well as with the electromagnetic fields trespassing both the fluid and the solids. The main result of this paper yields the existence of weak solutions to the system. While the mechanical part of the problem can be dealt with via a classical penalization method, the electromagnetic part requires an approximation by means of a hybrid discrete–continuous in time system: The discrete part of the approximation enables us to handle the solution‐dependent test functions in our variational formulation of the induction equation, whereas the continuous part makes sure that the nonnegativity of the density and subsequently a meaningful energy inequality is preserved in the approximate system.

Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.202200345

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:296:y:2023:i:12:p:5513-5550

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().