Navier Stokes Equations Courses and Certifications

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

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

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

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

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

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

International Centre for Theoretical Sciences

Wavelet-inspired Nash's Iteration - Lecture 2

Dive into wavelet-inspired Nash's Iteration in fluid dynamics, exploring advanced mathematical techniques for analyzing Euler and Navier-Stokes equations in this comprehensive lecture.

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

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 5

Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this comprehensive lecture.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Non-unique Ergodicity for 3D Navier-Stokes and Euler Equations

Delve into non-unique ergodicity for 3D Navier-Stokes and Euler equations, exploring advanced concepts in fluid mechanics and statistical hydrodynamics with expert Rongchan Zhu.

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

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 4

Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this in-depth lecture.

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

International Centre for Theoretical Sciences

Wavelet-inspired Nash's Iteration - Lecture 3

Dive into wavelet-inspired Nash's iteration techniques for analyzing Euler and Navier-Stokes equations in fluid mechanics, exploring advanced mathematical concepts and recent breakthroughs in the field.

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

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 3

Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this in-depth lecture.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 1

Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this comprehensive lecture.

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