Navier Stokes Equations Courses and Certifications

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

A Short but Up-to-Date Introduction to Partially Parabolic Systems - Lecture 4

Explore advanced concepts in fluid mechanics, focusing on Euler and Navier-Stokes equations. Gain insights into recent breakthroughs and cutting-edge techniques in this field of mathematical physics.

• YouTube
• 1 hour 45 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 2

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 36 minutes
• Self-Paced
• Free Video