Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00349879" target="_blank" >RIV/68407700:21340/21:00349879 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.jmaa.2021.125223" target="_blank" >https://doi.org/10.1016/j.jmaa.2021.125223</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmaa.2021.125223" target="_blank" >10.1016/j.jmaa.2021.125223</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms

Popis výsledku v původním jazyce

The paper deals with skew-symmetric reaction-diffusion systems satisfying assumptions guaranteeing Turing's instability and supplemented by unilateral terms of type v^- and v^+. Existence of critical and bifurcation points is proved for diffusion rates, for which it is excluded without any unilateral term. These results are achieved by rewriting the skew-symmetric system as an abstract equation with positively homogeneous potential operator. General theorems about a variational characterization of the largest eigenvalue for positively homogeneous operators in a Hilbert space and bifurcation in equations with potentials are proved and subsequently applied to the reaction-diffusion systems, yielding the desired conclusions.

Název v anglickém jazyce

Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms

Popis výsledku anglicky

The paper deals with skew-symmetric reaction-diffusion systems satisfying assumptions guaranteeing Turing's instability and supplemented by unilateral terms of type v^- and v^+. Existence of critical and bifurcation points is proved for diffusion rates, for which it is excluded without any unilateral term. These results are achieved by rewriting the skew-symmetric system as an abstract equation with positively homogeneous potential operator. General theorems about a variational characterization of the largest eigenvalue for positively homogeneous operators in a Hilbert space and bifurcation in equations with potentials are proved and subsequently applied to the reaction-diffusion systems, yielding the desired conclusions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

e-ISSN

1096-0813

Svazek periodika

501

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

29

Strana od-do

1-29

Kód UT WoS článku

000653644000003

EID výsledku v databázi Scopus

2-s2.0-85104092856