Horizontal mean curvature flow and nonlinear PDEs in sub-Riemannian spaces

Grande, Raffaele 2021. Horizontal mean curvature flow and nonlinear PDEs in sub-Riemannian spaces. PhD Thesis, Cardiff University. Item availability restricted.

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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)
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Status:	Unpublished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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