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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The main purpose of this work is to provide an existence and uniquenessresult for the solution of a linear parabolic system posed on a star-shapednetwork, which presents a new type of Kirchhoff's boundary transmissioncondition at the junction. This new type of Kirchhoff's condition-that wedecide to call here local-time Kirchhoff 's condition-induces a dynamicalbehavior with respect to an external variable that may be interpreted as alocal time parameter, designed to drive the system only at the singular pointof the network. The seeds of this study point towards a forthcoming theoreticalinquiry of a particular generalization of Walsh's random spider motions, whosespinning measures would select the available directions according to the localtime of the motion at the junction of the network.

Well posedness of linear parabolic partial differential equations posed  on a star-shaped network with local time Kirchhoff's boundary condition at  the vertex