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 a family of multi-phase Stefan problems for a certain 1-d modelof cell-to-cell adhesion and diffusion, which takes the form of a nonlinearforward-backward parabolic equation. In each material phase the cell densitystays either high or low, and phases are connected by jumps across an`unstable' interval. We develop an existence theory for such problems whichallows for the annihilation of phases and the subsequent continuation ofsolutions. Stability results for the long-time behaviour of solutions are alsoobtained, and, where necessary, the analysis is complemented by numericalsimulations.

Multi-phase Stefan problems for a nonlinear 1-d model of cell-to-cell adhesion and diffusion