On the motion of rigid bodies in a viscous compressible fluid

We prove the existence of global-in-time weak solutions to a model describing the motion of several rigid bodies in a viscous compressible fluid. Unlike most recent results of similar type, there is no restriction on the existence time, regardless of possible collisions of two or more rigid bodies a...

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Bibliographic Details
Published inArchive for rational mechanics and analysis Vol. 167; no. 4; pp. 281 - 308
Main Author FEIREISL, Eduard
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 01.05.2003
Berlin Springer Nature B.V
New York, NY
Subjects
CAD
Computer aided design
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
Rigid bodies
Weak solution
Existence theorem
Viscous fluid
Solid dynamic
Variational calculus
Incompressible fluid
Modeling
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Summary:We prove the existence of global-in-time weak solutions to a model describing the motion of several rigid bodies in a viscous compressible fluid. Unlike most recent results of similar type, there is no restriction on the existence time, regardless of possible collisions of two or more rigid bodies and/or a contact of the bodies with the boundary.[PUBLICATION ABSTRACT]
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-002-0242-5