1 citations · 2 across the 3 of their papers we have counts for
4 papers
On averaging and mixing for stochastic PDEs
Guan Huang, Sergei Kuksin
We examine the convergence in the Krylov--Bogolyubov averaging for nonlinear stochastic perturbations of linear PDEs with pure imaginary spectrum and show that if the involved effe…
On The Energy Transfer To High Frequencies In The Damped/Driven Nonlinear Schrödinger Equation (Extended Version)
Guan Huang, Sergei Kuksin
We consider a damped/driven nonlinear Schrödinger equation in an -cube , is arbitrary, under Dirichlet boundary conditions \[ u_t-νΔu+i|u|^2u=\sqrt…
On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables
Guan Huang, Vadim Kaloshin
In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table preserving the integrability near the boundary have to be tan…
An Averaging Theorem for Perturbed KdV Equation
Guan Huang
We consider a perturbed KdV equation: [\dot{u}+u_{xxx} - 6uu_x = εf(x,u(\cdot)), \quad x\in \mathbb{T}, \quad\int_\mathbb{T} u dx=0.] For any periodic function , let $I(u)=(I…