Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Journal of Evolution Equations

DOI: 10.1007/s00028-024-01014-0

Author: Marco Bravin

Institutions: Universidad de Cantabria, Delft University of Technology

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Universidad de Cantabria