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

Under mean curvature flow, a closed, embedded hypersurface $M(t)$ becomessingular in finite time. For certain classes of mean-convex mean curvatureflows, we show the continuity of the first singular time $T$ and the limit set"$M(T)$", with respect to initial data.  We employ an Angenent-like neck-pinching argument to force singularities innearby flows. However, since we cannot prescribe initial data, we combineAndrews' $\alpha$-non-collapsed condition and Colding and Minicozzi'suniqueness of tangent flows to place appropriately sized spheres in the regioninside the hypersurface.

Blow-up Continuity for Type-I, Mean-Convex Mean Curvature Flow