Geometric flow | Surfaces | Differential geometry
In differential geometry, the Willmore energy is a quantitative measure of how much a given surface deviates from a round sphere. Mathematically, the Willmore energy of a smooth closed surface embedded in three-dimensional Euclidean space is defined to be the integral of the square of the mean curvature minus the Gaussian curvature. It is named after the English geometer Thomas Willmore. (Wikipedia).
Kinetic Energy: Example Problems
This video gives an explanation of kinetic and contains several examples for calculating kinetic energy, mass and velocity using the kinetic energy equation. Kinetic energy is the energy an object possesses due to its motion. If an object is in motion then it has kinetic energy. It is als
From playlist Kinetic Energy, Potential Energy, Work, Power
Rob Kusner: Willmore stability and conformal rigidity of minimal surfaces in S^n
A minimal surface M in the round sphere S^n is critical for area, as well as for the Willmore bending energy W=∫∫(1+H^2)da. Willmore stability of M is equivalent to a gap between −2 and 0 in its area-Jacobi operator spectrum. We show the W-stability of M persists in all higher dimensional
From playlist Geometry
Morse-Theoretic Aspects of the Willmore Energy - Alexis Michelat
Variational Methods in Geometry Seminar Topic: Morse-Theoretic Aspects of the Willmore Energy Speaker: Alexis Michelat Affiliation: ETH Zurich Date: November 13, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
D. Ketover - Sharp entropy bounds of closed surfaces and min-max theory
In 2012, Colding-Ilmanen-Minicozzi-White conjectured that the entropy of any closed surface in R^3 is at least that of the self-shrinking two-sphere. I will explain joint work with X. Zhou where we interpret this conjecture as a parabolic version of the Willmore problem and give a min-max
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
Emmanuel Maitre: Diffusion redistanciation schemes, Willmore problem and red blood cells
Recording during the thematic meeting : "CEMRACS : Numerical and Mathematical Modeling for Biological and Medical Applications : Deterministic, Probabilistic and Statistical Descriptions" the August 03, 2018 at the Centre International de Rencontres Mathématiques (Marseille, France) Film
From playlist Numerical Analysis and Scientific Computing
Energy is one of those confusing physics terms that has both familiar and technical meanings. In this video, Fermilab’s Dr. Don Lincoln sheds some light on what physicists mean when they say the word, as well as some truths about energy that would shock his high school physics teacher. No
From playlist Videos by Don Lincoln
In visual computing, point locations are often optimized using a "repulsive" energy, to obtain a nice uniform distribution for tasks ranging from image stippling to mesh generation to fluid simulation. But how do you perform this same kind of repulsive optimization on curves and surfaces?
From playlist Repulsive Videos
Huy Nguyen: Brakke Regularity for the Allen-Cahn Flow
Abstract: In this paper we prove an analogue of the Brakke's $\epsilon$-regularity theorem for the parabolic Allen--Cahn equation. In particular, we show uniform $C^{2,\alpha}$ regularity for the transition layers converging to smooth mean curvature flows as $\epsilon\rightarrow 0$. A corr
From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows
Energy, Work & Power (19 of 31) Conservation of Mechanical Energy, An Explanation
In this video Mr. Swarthout explains total mechanical energy and how you can use it in together with conservation of energy to solve problems in physics. In the example shown in this video, work is done on the object to raise the object to a specific height. At its greatest height, befor
From playlist Kinetic Energy, Potential Energy, Work, Power
Teach Astronomy - Types of Energy
http://www.teachastronomy.com/ There are several broad types of energy. Energy is measured in units of calories in the English system or joules in the international system of metric units. One broad category of energy is kinetic energy, or the energy of motion. A second broad category of
From playlist 04. Chemistry and Physics
Kinetic and Potential Energy of Atoms
Watch more videos on http://www.brightstorm.com/science/physics SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► htt
From playlist Physics
Teach Astronomy - Electromagnetic Energy
http://www.teachastronomy.com/ Light is a form of electromagnetic energy, but it is just one example of a wide array of forms of electromagnetic energy. Light is an electromagnetic wave caused by the microscopic changing electric and magnetic fields. Light and all electromagnetic waves t
From playlist 04. Chemistry and Physics
Energy, Work, & Power, (1 of 31) Kinetic Energy, An Explanation
Explanation of kinetic energy, the units and the relationship of the kinetic energy of an object to its mass and velocity. Kinetic energy is the energy that an object has due to its motion. It is defined as the work needed to accelerate an object from rest to a specific velocity. The same
From playlist Kinetic Energy, Potential Energy, Work, Power
http://www.teachastronomy.com/ Scientists define energy as the ability to do work. You can also think of energy as something that can cause a change. This sounds vague. But scientists have defined energy in many careful ways, and it is a clearly quantifiable concept in physics. Next ti
From playlist 04. Chemistry and Physics
Special Relativity E3 Relationship between Mass and Energy
The mass energy equivalence.
From playlist Physics - Special Relativity
What is non-mechanical energy and how is it different than mechanical energy? And how can you use an understanding of energy forms to analyze a physical situation? Mr. H examines these questions and equips the skills to be a master of energy in your first year Physics course. The Mechani
From playlist Work and Energy
Energy Transfers and Efficency
IGCSE Edexcel Physics lesson on energy transfers and efficiency
From playlist Edexecel IGCSE Physics
Special Relativity E2 Relationship between Mass and Energy
The mass energy equivalence.
From playlist Physics - Special Relativity
LOL diagrams | Work and energy | Physics | Khan Academy
In this video, David shows how LOL diagrams allow us to visually represent what we mean by conservation of energy as well as what we mean by an energy system. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/vertical-springs-and-energy-conser
From playlist Work and energy | Physics | Khan Academy