seminar: Exponential asymptotic stability for an elliptic equation with memory arising in electrical conduction
speaker: Micol Amar (Università di Roma)abstract: Electric potentials are used in diagnostic devices to investigate the properties of a biological tissue, which can be modelled as a composite media with a periodic microscopic structure constituted by two finely mixed phases (intra and extra cellular) separated by an imperfect interface (cellular membrane). The membrane acts as a capacitor and different microscopic models have been proposed in order to take into account this effect. We discuss these models and investigate how the microscopic and macroscopic behavior can be obtained from the Maxwell equations in the quasi-stationary approximation, by means of homogenization andor concentration processes. We prove also the time exponential asymptotic stability of the solution, providing in this way a theoretical justification to the complex elliptic problem currently used in electrical impedance tomography.
timetable:
Fri 16 Nov, 18:35 - 19:05, Sala Conferenze Centro De Giorgi
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