2 papers
physics.flu-dyn2026
Upper bound of transient growth in accelerating and decelerating wall-driven flows using the Lyapunov method
Zhengyang Wei, Weichen Zhao, Chang Liu
This work analyzes accelerating and decelerating wall-driven flows by quantifying the upper bound of transient energy growth using a Lyapunov-type approach. By formulating the line…
physics.flu-dyn2025
Nonlinear input-output analysis of transitional shear flows using small-signal finite-gain stability
Zhengyang Wei, Chang Liu
This SSFG Lp stability theorem can predict permissible forcing amplitudes below which a finite nonlinear input-output gain can be maintained. Our analysis employs Linear Matrix Ine…