8 citations · 12 across the 11 of their papers we have counts for
4 papers · 1 filter
Weak error analysis for a nonlinear SPDE approximation of the Dean-Kawasaki equation
Ana Djurdjevac, Helena Kremp, Nicolas Perkowski
We consider a nonlinear SPDE approximation of the Dean-Kawasaki equation for independent particles. Our approximation satisfies the physical constraints of the particle system, i.e…
Synchronisation for scalar conservation laws via Dirichlet boundary
Ana Djurdjevac, Tommaso Rosati
We provide an elementary proof of geometric synchronisation for scalar conservation laws on a domain with Dirichlet boundary conditions. Unlike previous results, our proof does not…
Rough homogenization for Langevin dynamics on fluctuating Helfrich surfaces
Ana Djurdjevac, Helena Kremp, Nicolas Perkowski
In this paper, we study different scaling rough path limit regimes in space and time for the Langevin dynamics on a quasi-planar fluctuating Helfrich surfaces. The convergence resu…
Stabilisation of a viscous conservation law by a one-dimensional external force
Ana Djurdjevac, Armen Shirikyan
We study a damped scalar conservation law driven by the sum of a fixed external force and a localised one-dimensional control. The problem is considered in a bounded domain and is…