6 citations · 6 across the 1 of their papers we have counts for
3 papers
math.AP2019★ 6 cited
Global well-posedness for the two-dimensional stochastic complex Ginzburg-Landau equation
William J. Trenberth
We study the stochastic complex Ginzburg-Landau equation (SCGL) with an additive space-time white noise forcing on the two-dimensional torus. This equation is singular and thus we…
math.AP2019
Quasi-invariance of fractional Gaussian fields nonlinear wave equation with polynomial nonlinearity
Philippe Sosoe, William J. Trenberth, Tianhao Xian
We prove quasi-invariance of Gaussian measures with Cameron-Martin space under the flow of the defocusing nonlinear wave equation with polynomial nonlinearities of any…
math.AP2018
On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations
Justin Forlano, William J. Trenberth
Under certain regularity conditions, we establish quasi-invariance of Gaussian measures on periodic functions under the flow of cubic fractional nonlinear Schrödinger equations on…