Artículo de revista
A stability result for the identification of a permeability parameter on navier–stokes equations
Fecha
2022Registro en:
Inverse Problems 38 (2022) 075001
10.1088/1361-6420/ac6971
Autor
Aguayo Araneda, Jorge Sebastián
Osses Alvarado, Axel Esteban
Institución
Resumen
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.