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/

Zendy Plus

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

Zendy Tools

Zendy Open

We study generic semilinear Schr\"odinger systems which may be written inHamiltonian form. In the presence of a single gauge invariance, the componentsof a solution may exchange mass between them while preserving the total mass.We exploit this feature to unravel new orbital instability results forground-states. More precisely, we first derive a general instability criterionand then apply it to some well-known models arising in several physicalcontexts. In particular, this mass-transfer instability allows us to exhibit$L^2$-subcritical unstable ground-states.

Mass-transfer instability of ground-states for Hamiltonian Schr\"odinger systems