Number of the records: 1
Bifurcation points for a reaction-diffusion system with two inequalities
- 1.
SYSNO ASEP 0336125 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Bifurcation points for a reaction-diffusion system with two inequalities Author(s) Eisner, J. (CZ)
Kučera, Milan (MU-W) RID, SAI, ORCID
Väth, M. (DE)Source Title Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 365, č. 1 (2010), s. 176-194Number of pages 19 s. Language eng - English Country US - United States Keywords global bifurcation ; degree ; stationary solutions ; reaction-diffusion system ; variational inequality ; Signorini boundary condition ; Laplace operator 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 000274061800021 EID SCOPUS 73449107115 DOI doi:10.1016/j.jmaa.2009.10.037 Annotation We consider a reaction-diffusion system of activator-inhibitor or substrate-depletion type which is subject to diffusion-driven instability. We show that obstacles (e.g. a unilateral membrane) for both quantities modeled in terms of inequalities introduce a new bifurcation of spatially non-homogeneous steady states in the domain of stability of the trivial solution of the corresponding classical problem without obstacles. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
Number of the records: 1