Number of the records: 1

Bifurcation for a reaction-diffusion system with unilateral obstacles with pointwise and integral conditions

SYSNO ASEP	0353059
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Bifurcation for a reaction-diffusion system with unilateral obstacles with pointwise and integral conditions
Author(s)	Väth, Martin (MU-W)_{RID, SAI, ORCID}
Source Title	Nonlinear Analysis: Real World Applications. - : Elsevier - ISSN 1468-1218 Roč. 12, č. 2 (2011), s. 817-836
Number of pages	20 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	global bifurcation ; degree ; stationary solutions
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190805 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000284919100004
EID SCOPUS	78249267849
DOI	10.1016/j.nonrwa.2010.08.009
Annotation	A reaction-diffusion system of activator-inhibitor or substrate-depletion type is considered which is subject to diffusion driven instability. It is shown that obstacles (e.g. a unilateral membrane) for one or both quantities introduce a new bifurcation of spatially non-homogeneous steady states in a parameter domain where the trivial branch is exponentially stable without obstacles. The obstacles are modeled in terms of inclusions. Moreover, simultaneously some of the obstacles can be modeled also using nonlocal integral conditions.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1