Navier Stokes Equations Courses and Certifications

Institute for Advanced Study

Fluid Equations - Regularity and Kolmogorov’s Turbulence Theory

Explore fluid dynamics, Navier-Stokes equations, and Kolmogorov's turbulence theory. Gain insights into regularity results and mathematical confirmations of phenomenological theories.

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

Institute for Advanced Study

Non-Uniqueness of Leray Solutions of the Forced Navier-Stokes Equations - Dallas Albritton

Explore non-uniqueness in Navier-Stokes equations, focusing on Leray solutions, unstable manifolds, and vortex dynamics in fluid mechanics.

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

Hausdorff Center for Mathematics

On the Sedimentation of Particle Suspensions in Stokes Flows

Explores mathematical models for particle sedimentation in fluids, from microscopic Navier-Stokes equations to macroscopic Vlasov-Stokes systems, focusing on spherical and non-spherical particles with and without inertia.

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

Hausdorff Center for Mathematics

Renormalization and Energy Conservation for the Axisymmetric Euler Equation

Explore axisymmetric Euler equations, discussing well-posedness, qualitative properties, and renormalization results for vanishing viscosity solutions. Examine energy conservation in ideal fluid dynamics.

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

Numberphile

Navier-Stokes Equations

Explore the fascinating Navier-Stokes equations with Oxford mathematician Tom Crawford, discussing their significance and the $1 million Millennium Prize challenge they present.

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

Hausdorff Center for Mathematics

Vorticity Measures and Vanishing Viscosity

Explore vorticity measures and vanishing viscosity in fluid dynamics, focusing on 2D Navier-Stokes equations and their relation to Euler equations in bounded domains.

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

Hausdorff Center for Mathematics

High Mode Transport Noise Improves Vorticity Blow Up Control in 3D

Explores regularizing effects of transport noise on 3D Navier-Stokes equations, demonstrating improved vorticity control and well-posedness under specific noise conditions.

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

Hausdorff Center for Mathematics

Rough Perturbations of the Navier Stokes System

Explore rough perturbations of Navier-Stokes equations, focusing on solution definitions, well-posedness, and physical relevance in terms of conserved quantities.

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

Max Planck Science

Fluid Equations: From Leray to Ladyzhenskaya and Beyond

Explore incompressible fluid theory, from Leray's weak solutions to Ladyzhenskaya's contributions, and recent findings on Navier-Stokes equations and turbulence.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Conference GSI

A Variational Principle of Minimum for Navier-Stokes Equation Based on the Symplectic Formalism

Explore a variational principle of minimum for Navier-Stokes equations using symplectic formalism, advancing understanding of fluid dynamics and mathematical physics.

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

Institute for Advanced Study

Energy Dissipation of Navier-Stokes Equation with Non-Characteristic Boundary

Explore energy dissipation in Navier-Stokes equations with non-characteristic boundaries, presented by Jincheng Yang from the Institute for Advanced Study.

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

NPTEL-NOC IITM

Review of Governing Equations: Navier-Stokes Equations and Energy Equation

Explore fluid dynamics fundamentals: Navier-Stokes equations, energy conservation, and viscosity modeling for a comprehensive understanding of fluid flow mechanics.

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

Centre International de Rencontres Mathématiques

Lyapunov Exponents of the Navier-Stokes Equations

Explore Lyapunov exponents in Navier-Stokes equations through Alex Blumenthal's conference talk, delving into probabilistic techniques for random and time-dependent dynamical systems.

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

Institut des Hautes Etudes Scientifiques (IHES)

Instability and Non-uniqueness for the Euler and Navier-Stokes Equations

Explore recent advances in non-unique solutions for incompressible Navier-Stokes and Euler equations, including groundbreaking work on forced Navier-Stokes equations' non-uniqueness.

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

NCCR SwissMAP

Instability and Non-Uniqueness for the Euler and Navier-Stokes Equations

Explore instability and non-uniqueness in Euler and Navier-Stokes equations, focusing on effective theories in classical and quantum particle systems.

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