arXiv:2311.09968 Abstract | arXiv Analytics

arXiv:2311.09968 [math.DS]Abstract References Reviews Resources

Gradient Flow in Morse and Analytic Settings

Published 2023-11-16Version 1

This report is actually the in-class project of MATH489 FA2022, Dynamics and Differential Equations in University of Illinois Urbana-Champaign. The report is mainly about gradient flow of a Morse-type functions (Morse functions, Morse--Bott functions, etc.) and analytic functions. Several small results that I develop during the reading are included as well. They have a focus on the convergence, limiting rate and direction of gradient flow in either setting.

Comments: 14 pages in-class project report

Categories: math.DS

Keywords: gradient flow, analytic settings, differential equations, small results, illinois urbana-champaign

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