English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider the stochastic Cahn-Hilliard equation with additive space-timewhite noise $\epsilon^{\gamma}\dot{W}$ in dimension $d=2,3$, where $\epsilon>0$is an interfacial width parameter. We study numerical approximation of theequation which combines a structure preserving implicit time-discretizationscheme with a discrete approximation of the space-time white noise. We derive astrong error estimate for the considered numerical approximation which isrobust with respect to the inverse of the interfacial width parameter$\epsilon$. Furthermore, by a splitting approach, we show that for sufficientlylarge scaling parameter $\gamma$, the numerical approximation of the stochasticCahn-Hilliard equation converges uniformly to the deterministicHele-Shaw/Mullins-Sekerka problem in the sharp interface limit$\epsilon\rightarrow 0$.

Numerical approximation of the stochastic Cahn-Hilliard equation with space-time white noise near the sharp interface limit