Department of Mathematics

Degenerate operators

The aim of this project is to understand the mathematical concepts behind the evolution of heat in materials when the heat conductivity is not uniform over the material.

When the conductivity is positive, but not necessarily smooth, the heat flow is well understood.

Similarly, if the conductivity is smooth, but vanishes at some parts of the material, then the heat evolution is fairly well understood.

The novelty of this project is to understand the global behaviour of heat flow if the conductivity is both non-smooth and may vanish on some parts. Then insulation may occur.

Research is supported by the New Zealand Marsden Fund.


Researchers at The University of Auckland