Bistable Wavefronts in the Delayed Belousov–Zhabotinsky Reaction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000159" target="_blank" >RIV/47813059:19610/24:A0000159 - isvavai.cz</a>

Výsledek na webu

<a href="https://epubs.siam.org/doi/10.1137/23M1569885" target="_blank" >https://epubs.siam.org/doi/10.1137/23M1569885</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/23M1569885" target="_blank" >10.1137/23M1569885</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Bistable Wavefronts in the Delayed Belousov–Zhabotinsky Reaction

Popis výsledku v původním jazyce

We study the Murray adaptation of the Noyes-Field five-step model of the BelousovZhabotinsky (BZ) reaction in the case when a tuning parameter r, which determines the level of the bromide ion far ahead of the propagating wave, is bigger than 1 and when the delay in generation of the bromous acid is taken into account. The existence of wavefronts in the delayed BZ system was previously established only in the monostable situation with r in (0, 1], the physically relevant bistable situation where r &gt; 1 (in real experiments, r varies between 5 and 50) was left open. We complete the study by showing that the BZ system with r &gt; 1 admits monotone traveling fronts. Note that one of the stable equilibria of the BZ model is not isolated. This circumstance does not allow the direct application of the topological or analytical methods previously elaborated for the analysis of the existence of bistable waves.

Název v anglickém jazyce

Bistable Wavefronts in the Delayed Belousov–Zhabotinsky Reaction

Popis výsledku anglicky

We study the Murray adaptation of the Noyes-Field five-step model of the BelousovZhabotinsky (BZ) reaction in the case when a tuning parameter r, which determines the level of the bromide ion far ahead of the propagating wave, is bigger than 1 and when the delay in generation of the bromous acid is taken into account. The existence of wavefronts in the delayed BZ system was previously established only in the monostable situation with r in (0, 1], the physically relevant bistable situation where r &gt; 1 (in real experiments, r varies between 5 and 50) was left open. We complete the study by showing that the BZ system with r &gt; 1 admits monotone traveling fronts. Note that one of the stable equilibria of the BZ model is not isolated. This circumstance does not allow the direct application of the topological or analytical methods previously elaborated for the analysis of the existence of bistable waves.

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

2024

Kód důvěrnosti údajů

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

Název periodika

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

e-ISSN

1095-7154

Svazek periodika

56

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

26

Strana od-do

1197-1222

Kód UT WoS článku

001171824800007

EID výsledku v databázi Scopus

2-s2.0-85195603573