 |
Universität Augsburg
|
|
|
Universität Augsburg
|
|
Dr. Willem van Zuijlen
Weierstrass Institut
spricht am
Donnerstag, 6. November 2025
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| In this talk I will introduce the quenched Edwards--Wilkinson equation, which models the growth of an interface among an obstacle field. Due to the elasticity effect of the Laplacian, obstacle may slow down or stop the growth of the interface. When the driving force is low and there is enough disorder of the obstacle field, the interface may get pinned. But for a large enough driving force, there is a positive speed of propagation of the interface. I will give the intuition for this phenomenon, mention what is done in the literature and then will turn to this equation with a Gaussian disorder, which is white in the spatial component. Due to the irregularity we need tools from Rough Paths, like the (stochastic) sewing lemma and regularisation by noise in order to show well-posedness. I will explain the idea behind these tools and how we apply them. This is joint work with Toyota Matsuda and Jaeyun Ji. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Chengcheng Ling |