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

The Fourth order $\phi^4$ model generalizes the classical $\phi^4$ model ofquantum field theory, sharing the same kink solution. It is also the dispersivecounterpart of the well-known parabolic Cahn-Hilliard equation. Mathematicallyspeaking, the kink is characterized by a fourth-order nonnegative linearoperator with a simple kernel at the origin but no spectral gap. In this paper,we consider the kink of this theory, and prove orbital and asymptotic stabilityfor any perturbation in the energy space.

Asymptotic stability of the fourth order $\phi^4$ kink for general perturbations in the energy space