M12: Inverse Coefficient Problems

One of the main problems in mathematical modelling is to decide what features of physical parameters/properties which are inaccessible to measurements can be identified/infered in an unique and stable manner from sufficient and/or necessary accessible measurements of other physical qualities involved in the process.

The unknown coefficients may appear in the governing partial differential equations or in the boundary conditions. They can be constant, time-, space, and/or nonlinearly - dependent functions. The additional measurements usually concern the main dependent variable in the form of derivative (flux, bending moment, slope), integral (mass, moment, energy) or point (instant or space) observations which are subjected to random noise, which is inherently present in any practical measurement.

The proposed minisymposium will focus on the uniqueness and stability of recovering unknown coefficients, as well as on their numerical reconstruction. A wide range of applications is envisaged from fields such as heat transfer, porous media, fluid and solid mechanics, acoustics and electromagnetics.

Organizer:
Daniel Lesnic, University of Leeds, United Kingdom, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers (in alphabetical order):
Marcelo Jose Colaco, Federal University of Rio de Janeiro, Brazil, This email address is being protected from spambots. You need JavaScript enabled to view it.
Internal heat transfer coefficient estimation in ducts through the reciprocity functional approach and integral transform technique

Daniel Lesnic, University of Leeds, United Kingdom, This email address is being protected from spambots. You need JavaScript enabled to view it.
Time-dependent coefficient identification problems for the heat equation

Mach Nguyet Minh, University of Helsinki, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Monotonicity-based regularization in electrical impedance tomography

Paul Sacks, Iowa State University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Evaluation of the electrical conductivity and magnetic permeability variations with depth from surface voltage measurements