On the variation of curvature functionals in a space form with application to a generalized Willmore energy
Functionals involving surface curvature are important across a range of scientific disciplines,
and their extrema are representative of physically meaningful objects such as atomic lattices …
and their extrema are representative of physically meaningful objects such as atomic lattices …
Curvature functionals and p-Willmore energy
AD Gruber - 2019 - ttu-ir.tdl.org
Functionals involving surface curvature are frequently encountered when modeling the
behavior of important biological structures such as lipid membranes. To better understand …
behavior of important biological structures such as lipid membranes. To better understand …
Computational p-Willmore flow with conformal penalty
The unsigned p-Willmore functional introduced in the work of Mondino [2011] generalizes
important geometric functionals, which measure the area and Willmore energy of immersed …
important geometric functionals, which measure the area and Willmore energy of immersed …
New advances in the study of Generalized Willmore surfaces and flow
In this paper we study a Generalized Willmore flow for graphs and its numerical applications.
First, we derive the time dependent equation which describes the geometric evolution of a …
First, we derive the time dependent equation which describes the geometric evolution of a …
[HTML][HTML] Application of the moving frame method to deformed Willmore surfaces in space forms
T Paragoda - Journal of Geometry and Physics, 2018 - Elsevier
The main goal of this paper is to use the theory of exterior differential forms in deriving
variations of the deformed Willmore energy in space forms and study the minimizers of the …
variations of the deformed Willmore energy in space forms and study the minimizers of the …
Willmore and Generalized Willmore energies in space forms
TP Gamage - 2016 - ttu-ir.tdl.org
This PhD dissertation consists of two sections. In the first part of this work, we study a
Generalized Willmore flow equation and its numerical applications. First, we derive the time …
Generalized Willmore flow equation and its numerical applications. First, we derive the time …