Persistent fluctuations of the swarm size of Brownian bees

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F21%3A00551976" target="_blank" >RIV/68378271:_____/21:00551976 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevE.103.032140" target="_blank" >https://doi.org/10.1103/PhysRevE.103.032140</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.103.032140" target="_blank" >10.1103/PhysRevE.103.032140</a>

Result language
angličtina
Original language name
Persistent fluctuations of the swarm size of Brownian bees
Original language description
The “Brownian bees” model describes a system of N-independent branching Brownian particles. At each branching event the particle farthest from the origin is removed so that the number of particles remains constant at all times. Berestycki et al. [arXiv:2006.06486] proved that at N → ∞ the coarse-grained spatial density of this particle system lives in a spherically symmetric domain and is described by the solution of a free boundary problem for a deterministic reaction-diffusion equation. Furthermore, they showed [arXiv:2005.09384] that, at long times, this solution approaches a unique spherically symmetric steady state with compact support: a sphere whose radius 0 depends on the spatial dimension d.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)

Project
<a href="/en/project/EF15_003%2F0000449" target="_blank" >EF15_003/0000449: High Field Initiative</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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