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

We show that the attraction-repulsion chemotaxis system \begin{equation*}\begin{cases} u_t = \Delta u - \chi\nabla\cdot(u\nabla v_1) +\xi\nabla\cdot(u\nabla v_2)\\  \partial_t v_1 = \Delta v_1 - \beta v_1 + \alpha u \\  \partial_t v_2 = \Delta v_2 - \delta v_2 + \gamma u, \end{cases}\end{equation*} posed with homogeneous Neumann boundary conditions in boundeddomains $\Omega=B_R \subset \mathbb{R}^3$, $R>0$, admits radially symmetricsolutions which blow-up in finite time if it is attraction-dominated in thesense that $\chi\alpha-\xi\gamma>0$.

Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system