2 papers
math.OC2024
A Convex Optimization Approach to Compute Trapping Regions for Lossless Quadratic Systems
Shih-Chi Liao, A. Leonid Heide, Maziar S. Hemati +1
Quadratic systems with lossless quadratic terms arise in many applications, including models of atmosphere and incompressible fluid flows. Such systems have a trapping region if al…
physics.flu-dyn2023
An optimization framework for analyzing nonlinear stability due to sparse finite-amplitude perturbations
A. Leonid Heide, Maziar S. Hemati
Recent works have established the utility of sparsity-promoting norms for extracting spatially-localized instability mechanisms in fluid flows, with possible implications for flow…