3 papers
math.DS2026
Geometric and functional mixing by 2D stationary incompressible flows
Weiwei Hu, Ziqian Li, Yubiao Zhang
We study quantitative mixing and deformation of sets and curves for a class of two-dimensional autonomous Hamiltonian flows with finitely many critical points satisfying local cond…
math.NA2026
A Structure-Preserving Numerical Scheme for Optimal Control and Design of Mixing in Incompressible Flows
Weiwei Hu, Ziqian Li, Yubiao Zhang +1
We develop a structure-preserving computational framework for optimal mixing control in incompressible flows. Our approach exactly conserves the continuous system's key invariants…
math.OC2025
Cellular flow control design for mixing based on the least action principle
Weiwei Hu, Ming-Jun Lai, Hao-Ning Wu
We consider a novel approach for the enhancement of fluid mixing via pure stirring strategies building upon the Least Action Principle (LAP) for incompressible flows. The LAP is fo…