7 citations · 7 across the 4 of their papers we have counts for
4 papers
On Green's function of the vorticity formulation for the 3D Navier-Stokes equations
Igor Kukavica, Fei Wang, Yichun Zhu
We give a novel vorticity formulation for the 3D Navier-Stokes equations with Dirichlet boundary conditions. Via a resolvent argument, we obtain Green's function and establish an u…
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…
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…
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…