The heat content of a domain D of ℝd is defined as
E(s) = ∫D u(s,x)dx,
where u is the solution to the heat equation with zero initial condition and unit Dirichlet boundary condition. This thesis studies the behaviour of E(s) for small s with a particular emphasis on the case where $D$ is a planar domain whose boundary is a random Koch curve.
When ∂D is spatially homogeneous, we show th...Expand abstract
- Publication date:
- Type of award:
- Level of award:
- Local pid:
- Copyright holder:
- Philippe H. A. Charmoy
- Copyright date:
- This thesis is not currently available via ORA.