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 aim of this manuscript is to study the influence of the vorticity on theexistence time in fluid systems for which global smoothness and decay is knownin the case of small irrotational data. We focus on two examples: theEuler-Korteweg system and the two-fluid Euler Maxwell system. We prove that thelower bound of the lifespan of these systems is no less than the inverse of the$H^s$ $(s>5/2)$ norm of the rotational part of the initial velocity. Ourapproach is based on energy estimates and the fast time decay results of globalsolutions to these systems with small irrotational initial data.

Large time existence of Euler-Korteweg equations and two-fluid Euler-Maxwell equations with vorticity