Thesis
On the geometric and analytic properties of some random fractals
- Abstract:
-
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...
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Funding
+ Berrow Foundation,Swiss National Science Foundation
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Funding agency for:
Charmoy, P
Bibliographic Details
- Publication date:
- 2014
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
-
uuid:a9bbee2c-9958-464a-ac9e-bb8c42e107ea
- Local pid:
- ora:12474
- Deposit date:
- 2016-05-24
Terms of use
- Copyright holder:
- Charmoy, P
- Copyright date:
- 2016
- Notes:
- This thesis is not currently available via ORA.
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