Completed
Subcritical transition
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Hydrodynamic Stability at High Reynolds Number and Transition Threshold Problem
Automatically move to the next video in the Classroom when playback concludes
- 1 Intro
- 2 Reynolds experiment in 1883
- 3 Mathematical model Navier-Stokes equations
- 4 Examples of laminar flow
- 5 Eigenvalue analysis
- 6 Subcritical transition
- 7 Transition threshold problem
- 8 Numerics and asymptotic analysis results
- 9 Mathematical analysis results
- 10 Key factors influencing the threshold
- 11 Linear inviscid damping: monotone flow
- 12 Linear inviscid damping: Kolmogorov flow
- 13 Linear inviscid damping: methods of the proof The key ingredient of the proof is to solve the inhomogeneous
- 14 Nonlinear inviscid damping
- 15 Linear enhanced dissipation
- 16 Chapman toy model Consider a toy model introduced by Chapman
- 17 Chapman tay model: scaling analysis
- 18 Chapman tay model: secondary instability
- 19 Chapman toy model: transition route
- 20 Perturbation NS system
- 21 Secondary instability of wall mode
- 22 Transition threshold for 3-D Couette flow
- 23 Key ingredients(l): space-time estimates
- 24 Key ingredients (ll): exclude secondary instability
- 25 Key ingredients(lll): energy functional
- 26 Open problems
