Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/32276
Title: A remark on the derivation of an effective model describing the flow of fluid in a reservoir with small holes
Authors: Marušić-Paloka, Eduardo
Prša, Marija
Keywords: Stokes problemvery weak solutionconcentrated boundary conditionDirac measure
Issue Date: 2021
Source: Eduardo Marušić-Paloka, Marija Prša, "A remark on the derivation of an effective model describing the flow of fluid in a reservoir with small holes" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)", EUT Edizioni Università di Trieste, Trieste, 2021. pp. 8
Journal: Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics 
Abstract: 
We study the flow of the fluid in a reservoir with several small holes. The velocities on holes (injection and ejection) are prescribed and high. As the size of each holes shrinks to one point, the boundary value degenerates to a Dirac masses concentrated on the boundary. We prove that the solution of the Stokes system, describing the original flow, converges to the very-weak solution of the Stokes system with Dirac measures on the boundary.
Type: Article
URI: http://hdl.handle.net/10077/32276
ISSN: 0049-4704
eISBN: 2464-8728
Rights: Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Appears in Collections:Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)

Show full item record


CORE Recommender

Page view(s)

28
checked on Aug 2, 2021

Google ScholarTM

Check


This item is licensed under a Creative Commons License Creative Commons