5 citations · 8 across the 4 of their papers we have counts for
4 papers
Regularity and blow-up in a surface growth model
Dirk Blomker, Marco Romito
The paper contains several regularity results and blow-up criterions for a surface growth model, which seems to have similar properties to the 3D Navier-Stokes, although it is a sc…
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…
Multiscale Analysis for SPDEs with Quadratic Nonlinearities
D. Blömker, G. A. Pavliotis, M. Hairer
In this article we derive rigorously amplitude equations for stochastic PDEs with quadratic nonlinearities, under the assumption that the noise acts only on the stable modes and fo…
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…