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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of evolution equations Vol. 24; no. 4; p. 84
Main Author: Bravin, Marco
Format: Journal Article
Language:English
Published: Heidelberg Springer Nature B.V 01.12.2024
Subjects:
Barriers
Compressible fluids
Homogenization
Hypotheses
Viscous fluids
ISSN:1424-3199, 1424-3202
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-024-01014-0