Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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.

[img] PDF (PhD Thesis) - Accepted Post-Print Version
Download (2MB)
[img] PDF (Cardiff University Electronic Publication Form) - Supplemental Material
Restricted to Repository staff only

Download (1MB)

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Status: Unpublished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: 21 Jul 2021 09:43
URI: http://orca.cardiff.ac.uk/id/eprint/142698

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics