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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We have investigated the pattern formation in systems described by thenonlocal Fisher--Kolmogorov--Petrovskii--Piskunov equation for the cases wherethe dimension of the pattern concentration area is less than that ofindependent variables space. We have obtained a system of integro-differentialequations which describe the dynamics of the concentration area and thesemiclassically limited distribution of a pattern in the class of trajectoryconcentrated functions. Also, asymptotic large-time solutions have beenobtained that describe the semiclassically limited distribution of aquasi-steady-state pattern on the concentration manifold. The approach isillustrated by an example for which the analytical solution is in goodagreement with the prediction of a numerical simulation.

journal of physics. a, mathematical and theoretical

Pattern formation in terms of semiclassically limited distribution on  lower-dimensional manifolds for nonlocal  Fisher--Kolmogorov--Petrovskii--Piskunov equation