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A remark on the derivation of an effective model describing the flow of fluid in a reservoir with small holes
Marušić-Paloka, Eduardo
Prša, Marija
2021
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e-ISBN
2464-8728
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.
Publisher
EUT Edizioni Università di Trieste
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
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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