Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two

In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacl...

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Vydáno v:Journal of evolution equations Ročník 24; číslo 4; s. 84
Hlavní autor: Bravin, Marco
Médium: Journal Article
Jazyk:angličtina
Vydáno: Heidelberg Springer Nature B.V 01.12.2024
Témata:
Barriers
Compressible fluids
Homogenization
Hypotheses
Viscous fluids
ISSN:1424-3199, 1424-3202
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Shrnutí:In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacle does not influence the dynamics of a viscous compressible fluid in dimension two.
Bibliografie:ObjectType-Article-1
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ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-024-01014-0