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A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions

SYSNO ASEP	0376831
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions
Author(s)	Baltaev, J.I. (UZ) Kučera, Milan (MU-W)_{RID, SAI, ORCID} Väth, Martin (MU-W)_{RID, SAI, ORCID}
Source Title	Applications of Mathematics. - : Springer - ISSN 0862-7940 Roč. 57, č. 2 (2012), s. 143-165
Number of pages	23 s.
Language	eng - English
Country	CZ - Czech Republic
Keywords	reaction-diffusion system ; unilateral condition ; variational inequality
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	000302093400005
EID SCOPUS	84862014804
DOI	10.1007/s10492-012-0010-2
Annotation	We consider a simple reaction-diffusion system exhibiting Turing's diffusion driven instability if supplemented with classical homogeneous mixed boundary conditions. We consider the case when the Neumann boundary condition is replaced by a unilateral condition of Signorini type on a part of the boundary and show the existence and location of bifurcation of stationary spatially non-homogeneous solutions. The nonsymmetric problem is reformulated as a single variational inequality with a potential operator, and a variational approach is used in a certain non-direct way.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2013

Number of the records: 1