34 citations · 85 across the 36 of their papers we have counts for
42 papers
Absolute Continuity of Monotone Aggregations under Positive Regression Dependence
Ben Goldys, Max Nendel
In this paper, we provide a sufficient condition for the absolute continuity of one-dimensional push-forwards of dependent random vectors. Suppose that has an absolutely contin…
Error analysis of a divergence-preserving mixed finite element scheme for the incompressible Hall--magnetohydrodynamic equations
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
The incompressible Hall-magnetohydrodynamics (Hall--MHD) system presents substantial analytical and computational challenges due to its stiff, highly nonlinear Hall term and the st…
A mixed finite element method for a class of fourth-order stochastic evolution equations with multiplicative noise
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
We develop a fully discrete, semi-implicit mixed finite element method for approximating solutions to a class of fourth-order stochastic partial differential equations (SPDEs) with…
Pathwise Solvability and Bubbling in 2D Stochastic Landau-Lifshitz-Gilbert Equations
Ben Goldys, Chunxi Jiao, Christof Melcher
We investigate the stochastic Landau-Lifshitz-Gilbert (LLG) equation on a periodic 2D domain, driven by infinite-dimensional Gaussian noise in a Sobolev class. We establish strong…
Global attractor and robust exponential attractors for some classes of fourth-order nonlinear evolution equations
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
We study the long-time behaviour of solutions to some classes of fourth-order nonlinear PDEs with non-monotone nonlinearities, which include the Landau--Lifshitz--Baryakhtar (LLBar…
Differentiability of transition semigroup of generalized Ornstein-Uhlenbeck process: a probabilistic approach
Ben Goldys, Szymon Peszat
Let , be the transition semigroup on the space of bounded measurable functions on a Banach space , of the Markov family defined by the l…