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

This paper considers ground states of two-component Bose gases confined in ananharmonic trap rotating at the velocity $0<\Omega<\infty$, where theintraspecies interaction $(-a_1,-a_2)$ and the interspecies interaction$-\beta$ are both attractive, i.e, $a_1, a_2$ and $\beta$ are all positive. Weprove the axially symmetry and the refined spike profiles of ground states as$\beta\nearrow\beta^*:=a^*+\sqrt{(a^*-a_1)(a^*-a_2)}$, where $0<a_1,\,a_2<a^*:=\|Q\|^2_2$ are fixed and $Q>0$ is the unique positive solution of$-\Delta u+u-u^3=0$ in $\mathbb{R}^2$.

Axial Symmetry and Refined Spike Profiles of Ground States for Rotating Two-Component Bose Gases