Vector calculus review - divergence theorem
Lectures for Transport Phenomena course at Olin College. This lecture derives and explains the divergence theorem
From playlist Lectures for Transport Phenomena course
We define the Kantorovich dual of Kantorovich problem of Optimal Transport and give a (well known) interpretation in terms of "outsourcing" the task of transporting goods.
From playlist Optimal Transport
How to derive the more general transport equation
Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to derive the more general transport equation (PDE) in one dimension.
From playlist Partial differential equations
Videos for Transport Phenomena course at Olin College This video describes the Leibniz Rule from calculus for taking the derivative of integrals where the limits of integration change with time.
From playlist Lectures for Transport Phenomena course
In this video, I solve one of the simplest PDE: the transport equation, simply by rewriting it as a directional derivative and ‘integrating’ it. Then I also solve the inhomogeneous transport equation.
From playlist Partial Differential Equations
How to solve basic transport PDE problems
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Simple examples showing how to solve basic transport PDEs.
From playlist Partial differential equations
Filippo Santambrogio: Introduction to optimal transport theory - lecture 2
Optimal transport, a mathematical theory which developed out of a problem raised by Gaspard Monge in the 18th century and of the reformulation that Leonid Kantorovich gave of it in the 20th century in connection with linear programming, is now a very lively branch of mathematics at the int
From playlist CEMRACS 2022
Euler equations and Bernoulli equation
Lectures for Transport Phenomena course at Olin College. This video describes Euler's equations, Bernoulli's equation, and pressure changes across streamlines.
From playlist Lectures for Transport Phenomena course
What is General Relativity? Lesson 13 Some important CFREE relations
We prove some critical CFREE expressions required for the derivation of the metric connection. Errata: At 46:00 the argument should have the vector "Z" not the vector "X". X is part of the example tensor and Z is being fed to the tensor.
From playlist What is General Relativity?
Heikki Jylhä: L∞ estimates in optimal transport
It is well-known that for finite p the Lp transportation distances Wp metrize the weak convergence of probability measures (up to a convergence of p-th moments). However, the same result does not hold for the L∞ transportation distance W∞. In light of this, we may ask whether convergence i
From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"
Shiri Artstein-Avidan: On optimal transport with respect to non traditional costs
Shiri Artstein-Avidan (University of Tel Aviv) On optimal transport with respect to non traditional costs After a short review of the topic of optimal transport, introducing the c-transform and c-subgradients, we will dive into the intricacies of transportation with respect to a cost wh
From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability
Josephine Evans: Using Harris’s theorem to show convergence to equilibrium for kinetic equations
Abstract: I will discuss a joint work with Jose Canizo, Cao Chuqi and Havva Yolda. I will introduce Harris’s theorem which is a classical theorem from the study of Markov Processes. Then I will discuss how to use this to show convergence to equilibrium for some spatially inhomogeneous kine
From playlist Probability and Statistics
Colloquium MathAlp 2016 - Michel Ledoux
Isopérimétrie dans les espaces métriques mesurés Le problème isopérimétrique (à volume donné, minimiser la mesure de bord, et déterminer les ensembles extrémaux), remonte aux temps les plus anciens. Tout à la fois, il peut se formuler de façon générale dans un espace métrique mesuré, et d
From playlist Colloquiums MathAlp
The Geometry of Quantum States by Chia-Yi Ju
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
Engineering MAE 130A. Intro to Fluid Mechanics. Lecture 12.
UCI Engineering MAE 130A: Intro to Fluid Mechanics (Fall 2013) Lec 12. Intro to Fluid Mechanics View the complete course: http://ocw.uci.edu/courses/engineering_mae_130a_intro_to_fluid_mechanics.html Instructor: Roger Rangel, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://o
From playlist Engineering MAE 130A. Intro to Fluid Mechanics
Symmetric spaces (Lecture – 01) by Pralay Chatterjee
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
[BOURBAKI 2017] 14/01/2017 - 1/4 - Cédric VILLANI
Inégalités isopérimétriques dans les espaces métriques mesurés, d’après F. Cavalletti et A. Mondino La théorie synthétique de la courbure de Ricci dans les espaces métriques mesurés a remporté ses premiers succès il y a une dizaine d’années, et s’est rapidement développée depuis ; elle ac
From playlist BOURBAKI - 2017
Z. Badreddine - Optimal transportation problem and MCP property on sub-Riemannian structures
This presentation is devoted to the study of mass transportation on sub-Riemannian geometry. In order to obtain existence and uniqueness of optimal transport maps, the first relevant method to consider is the one used by Figalli and Rifford which is based on the local semiconcavity of the
From playlist Journées Sous-Riemanniennes 2018
Optimal Transport (according to Gaspard Monge)
A brief introduction to the Optimal Transport problem of Gaspard Monge.
From playlist Optimal Transport
Josephine Evans: Using Harris’s theorem to prove hypocoercivity for linear kinetic equations with..
The lecture was held within the framework of the Hausdorff Trimester Program: Kinetic Theory Topic:Using Harris’s theorem to prove hypocoercivity for linear kinetic equations with jumps Abstract: I will explain how Harris’s theorem which is a classical theorem from Markov processes can
From playlist Workshop: Probabilistic and variational methods in kinetic theory