Grande, Raffaele
2021.
Horizontal mean curvature flow and nonlinear PDEs in sub-Riemannian spaces.
PhD Thesis,
Cardiff University.
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Abstract
The horizontal mean curvature flow is an evolution of a hypersurface, which is interesting not only in a theoretical framework but also in applied science, for example in neurogeometry and computer science (e.g. [13, 14, 15]). The associated equation, roughly speaking, describes the motion of a hypersurface embedded in a sub-Riemannian geometry (e.g. the Heisenberg group or a Carnot group, see [4, 43]) in relation to its horizontal mean curvature.
Item Type: | Thesis (PhD) |
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Date Type: | Completion |
Status: | Unpublished |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Date of First Compliant Deposit: | 20 July 2021 |
Last Modified: | 04 Aug 2022 01:28 |
URI: | https://orca.cardiff.ac.uk/id/eprint/142698 |
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