dc.creator | Aguayo Araneda, Jorge Sebastián | |
dc.creator | Osses Alvarado, Axel Esteban | |
dc.date.accessioned | 2023-07-21T17:40:03Z | |
dc.date.accessioned | 2023-09-08T11:52:23Z | |
dc.date.available | 2023-07-21T17:40:03Z | |
dc.date.available | 2023-09-08T11:52:23Z | |
dc.date.created | 2023-07-21T17:40:03Z | |
dc.date.issued | 2022 | |
dc.identifier | Inverse Problems 38 (2022) 075001 | |
dc.identifier | 10.1088/1361-6420/ac6971 | |
dc.identifier | https://repositorio.uchile.cl/handle/2250/194905 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8752245 | |
dc.description.abstract | In this work, we present a stability result for the inverse problem of recovering a smooth scalar permeability parameter given by the Brinkman's law applied to the steady Navier-Stokes equations from local observations of the fluid velocity on a fixed domain. In comparison with (Choulli et al 2013 Appl. Anal. 92 2127-43), we prove a logarithmic estimate under weaker assumptions, since our proof is based in a strategy that does not require pressure observations. This kind or result are useful for inverse problems in soft tissue elastography (see Honarvar et al 2012 Phys. Med. Biol. 57 5909-27). Finally, we present some numerical tests that validate our theoretical results. | |
dc.language | en | |
dc.publisher | IOP | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | |
dc.source | Inverse Problems | |
dc.subject | Navier-stokes equations | |
dc.subject | Carleman inequalities | |
dc.subject | Stability estimateinverse problems | |
dc.title | A stability result for the identification of a permeability parameter on navier–stokes equations | |
dc.type | Artículo de revista | |