Degree, instability and bifurcation of reaction-diffusion systems with obstacles near certain hyperbolas

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SYSNO ASEP	0458505
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Degree, instability and bifurcation of reaction-diffusion systems with obstacles near certain hyperbolas
Author(s)	Eisner, J. (CZ) Väth, Martin (MU-W)_{RID, SAI, ORCID}
Source Title	Nonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X Roč. 135, April (2016), s. 158-193
Number of pages	36 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	reaction-diffusion system ; turing instability ; global bifurcation
Subject RIV	BA - General Mathematics
Institutional support	MU-W - RVO:67985840
UT WOS	000371885600009
EID SCOPUS	84959010677
DOI	10.1016/j.na.2016.01.006
Annotation	For a reaction–diffusion system which is subject to Turing’s diffusion-driven instability and which is equipped with unilateral obstacles of various types, the nonexistence of bifurcation of stationary solutions near certain critical parameter values is proved. The result implies assertions about a related mapping degree which in turn implies for “small” obstacles the existence of a new branch of bifurcation points (spatial patterns) induced by the obstacle.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2017

Number of the records: 1