– Linear stability theory (Chandrasekhar, Drazin). Week 2 – Adjoint operators and sensitivity (Trefethen & Embree, Spectra and Pseudospectra ). Week 3 – Thermoacoustics basics (Rayleigh criterion, flame models). Week 4 – Implement a simple thermoacoustic network model + adjoint in MATLAB.
: Recent work involves using Bayesian neural networks to forecast impending instabilities in liquid propellant rocket engines, allowing for real-time adjustments to avoid engine failure. Fluid Mechanics and Stability Analysis
