Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Mathematical Fluid Dynamics of Atmospheric and Oceanic Flows

Explore mathematical fluid dynamics for atmospheric and oceanic flows, focusing on thin-shell approximation in rotating spherical coordinates and perturbation theory for atmospheric modeling.

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

Balance, Jets and Coherent Structures in Geophysical Fluid Dynamics - Lecture 2

Explore balance, jets, and coherent structures in geophysical fluid dynamics through an in-depth lecture by David Dritschel.

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

Balance, Jets and Coherent Structures in Geophysical Fluid Dynamics - Lecture 1

Explore geophysical fluid dynamics, focusing on balance, jets, and coherent structures in planetary-scale flows.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Waves and Wind-Driven Flows in the Ocean - Lecture 1

Explore ocean dynamics through waves and wind-driven flows in this comprehensive lecture, focusing on Kelvin-Stuart vortices and their applications in fluid mechanics and plasma physics.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Waves and Wind-Driven Flows in the Ocean - Lecture 4

Explore Kelvin-Stuart vortices' stability in fluid mechanics, plasma physics, and planetary rings. Analyze nonlinear stability and linear instability for various perturbations.

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

Ocean Diffusivity: Stochastic Approaches in Numerical Modeling

Explore stochastic approaches in ocean modeling, including Monte-Carlo methods, perturbed conditions, and stochastic dissipation operators for improved numerical simulations.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Ocean Modeling: Stochastic Approaches to Numerical Simulations

Explore stochastic approaches in ocean modeling, including Monte-Carlo methods, perturbed initial conditions, and stochastic boundary conditions and dissipation operators for improved numerical simulations.

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

Waves and Wind-Driven Flows in the Ocean - Lecture 3

Explore ocean dynamics through waves and wind-driven flows, focusing on Kelvin-Stuart vortices, their stability, and applications in fluid mechanics and plasma physics.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Waves and Wind-Driven Flows in the Ocean - Lecture 2

Explore Kelvin-Stuart vortices in fluid mechanics, plasma physics, and planetary rings. Analyze stability, applications, and magnetic island equilibria in 2D ideal MHD equations.

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

B∞-Algebra Structures and Their Applications in Mathematics and Physics

Explore B∞-algebra structures, their relation to G∞ algebras, and their appearance in various mathematical contexts. Investigate ongoing research on canonical B∞-algebra structures.

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

Exploring Boundary Conditions of Bicolored Maps: Universal Behaviors and New Structures

Explore boundary conditions of bicolored maps, uncovering universal behaviors and new structures in map enumeration and random map models.

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

Progress in the Combinatorial Understanding of Higher-Order Free Cumulants

Explore higher-order free moments and cumulants in random matrices, focusing on combinatorial derivations and decomposition of bipartite planar maps for advanced mathematical insights.

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

Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 3

Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 1

Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.

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

Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 3

Explore advanced topics in free probability theory, focusing on joint behavior of independent random tensor matrices and symmetry groups, with applications in matrix analysis.

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