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math.PR2008
A Stochastic Representation for Backward Incompressible Navier-Stokes Equations
Xicheng Zhang
By reversing the time variable we derive a stochastic representation for backward incompressible Navier-Stokes equations in terms of stochastic Lagrangian paths, which is similar t…
math.PR2008★ 4 cited
Smooth Solutions of Non-linear Stochastic Partial Differential Equations
Xicheng Zhang
In this paper, we study the regularities of solutions of nonlinear stochastic partial differential equations in the framework of Hilbert scales. Then we apply our general result to…
math.PR2008★ 1 cited
Freidlin-Wentzell's Large Deviations for Stochastic Evolution Equations
Jiagang Ren, Xicheng Zhang
We prove a Freidlin-Wentzell large deviation principle for general stochastic evolution equations with small perturbation multiplicative noises. In particular, our general result c…