2 papers
math.DS2025
Quenched correlation decay for random splittings of some prototypical 3D flows including the ABC flow
Nianci Jiang, Weili Zhang
For the long-time dynamical challenges of some prototypical 3D flows including the ABC flow on , we apply a random splitting method to establish two fundamental indic…
math.DS2025
Exponential mixing for Hamiltonian shear flow
Weili Zhang
We consider the advection equation on with a real analytic and time-periodic velocity field that alternates between two Hamiltonian shears. Randomness is injected by…