Navier Stokes Equations Courses and Certifications

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

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

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

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

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

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

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

BIMSA

Computer-Assisted Solution Existence Proofs for Navier-Stokes Equations in 3D Domains

Discover computer-assisted methods for proving solution existence in 3D Navier-Stokes equations through rigorous mathematical techniques and computational verification.

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

Fields Institute

Potentially Singular Behavior of the 3D Incompressible Navier-Stokes Equations

Delve into advanced mathematical analysis exploring potential singularities in 3D incompressible Navier-Stokes equations, with insights from leading researcher Thomas Hou.

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

Institute for Advanced Study

Navier-Stokes Equations at Critical Regularity

Explore pathological behaviors in 3D Navier-Stokes equations including non-uniqueness, norm growth, and Type I blow-up for large data in critical spaces.

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

Advanced Fluid Mechanics 2: The Navier-Stokes Equations for Viscous Flows

Master the Navier-Stokes equations for viscous flows, analyzing pipe, channel, and Stokes flows while applying dimensional analysis and lubrication theory to solve industrial fluid problems.

• MITx Online
• 16 weeks, 8-12 hours a week
• On-Demand
• Free Online Course

Banach Center

Density-Dependent Navier-Stokes Equations with Large Flux

Explore density-dependent Navier-Stokes equations with large flux, examining mathematical applications and advanced fluid dynamics concepts.

• YouTube
• 30 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

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