Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00504264" target="_blank" >RIV/67985840:_____/19:00504264 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/49777513:23520/19:43954972

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.na.2019.04.001" target="_blank" >http://dx.doi.org/10.1016/j.na.2019.04.001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.na.2019.04.001" target="_blank" >10.1016/j.na.2019.04.001</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability

Popis výsledku v původním jazyce

A reaction–diffusion system exhibiting Turing's diffusion driven instability is considered. The equation for an activator is supplemented by unilateral terms of the type s − (x)u − , s + (x)u + describing sources and sinks active only if the concentration decreases below and increases above, respectively, the value of the basic spatially constant solution which is shifted to zero. We show that the domain of diffusion parameters in which spatially non-homogeneous stationary solutions can bifurcate from that constant solution is smaller than in the classical case without unilateral terms. It is a dual information to previous results stating that analogous terms in the equation for an inhibitor imply the existence of bifurcation points even in diffusion parameters for which bifurcation is excluded without unilateral sources. The case of mixed (Dirichlet–Neumann) boundary conditions as well as that of pure Neumann conditions is described.

Název v anglickém jazyce

Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability

Popis výsledku anglicky

A reaction–diffusion system exhibiting Turing's diffusion driven instability is considered. The equation for an activator is supplemented by unilateral terms of the type s − (x)u − , s + (x)u + describing sources and sinks active only if the concentration decreases below and increases above, respectively, the value of the basic spatially constant solution which is shifted to zero. We show that the domain of diffusion parameters in which spatially non-homogeneous stationary solutions can bifurcate from that constant solution is smaller than in the classical case without unilateral terms. It is a dual information to previous results stating that analogous terms in the equation for an inhibitor imply the existence of bifurcation points even in diffusion parameters for which bifurcation is excluded without unilateral sources. The case of mixed (Dirichlet–Neumann) boundary conditions as well as that of pure Neumann conditions is described.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/LO1506" target="_blank" >LO1506: Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Nonlinear Analysis: Theory, Methods & Applications

ISSN

0362-546X

e-ISSN

—

Svazek periodika

187

Číslo periodika v rámci svazku

October

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

22

Strana od-do

71-92

Kód UT WoS článku

000476707200004

EID výsledku v databázi Scopus

2-s2.0-85064321149