Calculus of Variation Courses and Certifications

Institute for Advanced Study

Quantitative Stability in Geometric and Functional Inequalities

Explore the stability of geometric and functional inequalities with Alessio Figalli, examining how functions or sets that nearly achieve equality relate to actual minimizers in mathematical theory.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Quantitative Stability in Geometric and Functional Inequalities - Part III

Delve into quantitative stability in geometric and functional inequalities with Alessio Figalli, exploring how functions or sets that nearly achieve equality relate to actual minimizers in mathematical theory.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Quantitative Stability in Geometric and Functional Inequalities - Part II

Delve into quantitative stability in geometric and functional inequalities with Alessio Figalli, exploring how functions or sets that nearly achieve equality relate to actual minimizers in mathematical theory.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Uniqueness and Convexity in the Calculus of Variations

Explore advanced convexity concepts in vectorial calculus of variations and their role in ensuring uniqueness of minimizers under perturbations.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Obstacle Problems for Elastic Membranes - Existence, Regularity, and Rigidity

Explore obstacle problems for elastic membranes, covering existence of minimizers, Euler-Lagrange equations, and optimal regularity through Canham-Helfrich energy minimization.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Rigidity of Critical Points of Hydrophobic Capillary Functionals

Explore rigidity theorems for volume-preserving critical points of capillary energy in hydrophobic regimes, covering contact angles from 90° to 180° without regularity assumptions.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Periodic Tilings with Minimal Energy

Explore periodic tessellations of Euclidean space through minimization of perimeter functionals, focusing on nonlocal cases with existence, regularity, and qualitative properties of minimizers.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Bernoulli Free Boundary Problem - Lecture 2

Explore advanced regularity theory for Bernoulli free boundary problems through rigorous mathematical analysis and cutting-edge research developments.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Bernoulli Free Boundary Problem - Lecture 1

Explore advanced mathematical techniques for analyzing regularity of free boundaries in Bernoulli problems through expert insights and theoretical developments.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Variational Models for Grain Boundaries in Polycrystals - Lecture 2

Delve into advanced variational models for grain boundaries in polycrystalline materials through mathematical analysis and theoretical frameworks.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Variational Models for Grain Boundaries in Polycrystals - Lecture 1

Explore variational models for grain boundaries in polycrystals through advanced mathematical analysis and applications in materials science.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Institute for Advanced Study

A Sampling of Minimization Problems

Explore fundamental minimization problems in mathematics with Abel Prize winner Karen Uhlenbeck, covering key concepts and applications in this advanced mathematical lecture.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Classical Physics: Journey Through the Laws of the Universe

352 ratings at Udemy

Peer beneath the surface of reality, understand how the universe works, and develop physics apps that make a difference!

• Udemy
• 20 hours 18 minutes
• On-Demand
• Paid Course

Analysis of Transport Phenomena: Nonequilibrium Thermodynamics

Explore mathematical modeling of heat, mass transfer, fluid dynamics, chemical reactions, and phase transformations in this graduate-level introduction to nonequilibrium thermodynamics.

• MITx Online
• 2 weeks, 10-12 hours a week
• On-Demand
• Free Online Course

Institut des Hautes Etudes Scientifiques (IHES)

From Frank Ramsey to René Thom: Beyond Optimization

Explorez les problèmes d'optimisation en calcul des variations issus de la théorie économique et découvrez une nouvelle approche de solution basée sur les EDO implicites de Thom.

• YouTube
• 48 minutes
• On-Demand
• Free Video