Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F23%3AA0000135" target="_blank" >RIV/47813059:19610/23:A0000135 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0022039623005478" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022039623005478</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jde.2023.08.013" target="_blank" >10.1016/j.jde.2023.08.013</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction

Popis výsledku v původním jazyce

We prove the existence of the minimal speed of propagation c(*)(r, b, K) is an element of [2 root 1 - r, 2] for wavefronts in the Belousov-Zhabotinsky system with a spatiotemporal interaction defined by the convolution with (possibly, "fat-tailed") kernel K. The model is assumed to be monostable non-degenerate, i.e. r is an element of (0, 1). The slowest wavefront is termed pushed or nonlinearly determined if its velocity c(*)(r, b, K) &gt; 2 root/1 - r. We show that c(*)(r, b, K) is close to 2 if i) positive system's parameter b is sufficiently large or ii) K is spatially asymmetric to one side (e.g. to the left: in such a case, the influence of the right side concentration of the bromide ion on the dynamics is more significant than the influence of the left side). Consequently, this reveals two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky reaction

Název v anglickém jazyce

Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction

Popis výsledku anglicky

We prove the existence of the minimal speed of propagation c(*)(r, b, K) is an element of [2 root 1 - r, 2] for wavefronts in the Belousov-Zhabotinsky system with a spatiotemporal interaction defined by the convolution with (possibly, "fat-tailed") kernel K. The model is assumed to be monostable non-degenerate, i.e. r is an element of (0, 1). The slowest wavefront is termed pushed or nonlinearly determined if its velocity c(*)(r, b, K) &gt; 2 root/1 - r. We show that c(*)(r, b, K) is close to 2 if i) positive system's parameter b is sufficiently large or ii) K is spatially asymmetric to one side (e.g. to the left: in such a case, the influence of the right side concentration of the bromide ion on the dynamics is more significant than the influence of the left side). Consequently, this reveals two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky reaction

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Differential Equations

ISSN

0022-0396

e-ISSN

1090-2732

Svazek periodika

376

Číslo periodika v rámci svazku

december

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

24

Strana od-do

102-125

Kód UT WoS článku

001076174800001

EID výsledku v databázi Scopus

2-s2.0-85169909215