Identifiability of the nonlinearity in a quasilinear parabolic system Conference Paper uri icon


  • One-dimensional unsteady-state heat conduction is governed by a second-order quasilinear parabolic equation. The nonlinearity arises from the temperature dependence of the thermal conductivity and/or specific heat. The author shows that measurement of temperature and heat flux at only one boundary point can uniquely determine the thermal conductivity as a function of temperature when the specific heat is known or the specific heat as a function of temperature when the thermal conductivity is known.

published proceedings

  • Proceedings of the IEEE Conference on Decision and Control

author list (cited authors)

  • Kravaris, C.

complete list of authors

  • Kravaris, C

publication date

  • December 1988