2 citations · 2 across the 2 of their papers we have counts for
4 papers
Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity
Dirk Blomker, Wei Wang
The qualitative properties of local random invariant manifolds for stochastic partial differential equations with quadratic nonlinearities and multiplicative noise is studied by a…
Markovianity and ergodicity for a surface growth PDE
D. Blömker, F. Flandoli, M. Romito
The paper analyses a model in surface growth, where uniqueness of weak solutions seems to be out of reach. We provide the existence of a weak martingale solution satisfying energy…
A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees
D. Blömker, M. Romito, R. Tribe
The solutions to a large class of semi-linear parabolic PDEs are given in terms of expectations of suitable functionals of a tree of branching particles. A sufficient, and in some…
Modulation Equations: Stochastic Bifurcation in Large Domains
D. Blömker, M. Hairer, G. A. Pavliotis
We consider the stochastic Swift-Hohenberg equation on a large domain near its change of stability. We show that, under the appropriate scaling, its solutions can be approximated b…