7 citations · 7 across the 4 of their papers we have counts for
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math.PR2022
Averaging principle for slow-fast systems of stochastic PDEs with rough coefficients
Sandra Cerrai, Yichun Zhu
In this paper, we consider a class of slow-fast systems of stochastic partial differential equations where the nonlinearity in the slow equation is not continuous and unbounded. We…
math.PR2020★ 7 cited
An averaging approach to the Smoluchowski-Kramers approximation in the presence of a varying magnetic field
Sandra Cerrai, Jan Wehr, Yichun Zhu
We study the small mass limit of the equation describing planar motion of a charged particle of a small mass in a force field, containing a magnetic component, perturbed by a s…
math.PR2020
A generalization of the Freidlin-Wentcell theorem on averaging of Hamiltonian systems
Yichun Zhu
In this paper, we generalize the classical Freidlin-Wentzell's theorem for random perturbations of Hamiltonian systems. In stead of the two-dimensional standard Brownian motion, th…