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Bifurcation for a reaction-diffusion system with unilateral and Neumann boundary conditions
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SYSNO ASEP 0374182 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Bifurcation for a reaction-diffusion system with unilateral and Neumann boundary conditions Tvůrce(i) Kučera, Milan (MU-W) RID, SAI, ORCID
Väth, Martin (MU-W) RID, SAI, ORCIDZdroj.dok. Journal of Differential Equations. - : Elsevier - ISSN 0022-0396
Roč. 252, č. 4 (2012), s. 2951-2982Poč.str. 32 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova global bifurcation ; degree ; stationary solutions Vědní obor RIV BA - Obecná matematika CEP IAA100190805 GA AV ČR - Akademie věd CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000300077400001 EID SCOPUS 84455208190 DOI 10.1016/j.jde.2011.10.016 Anotace We consider a reaction–diffusion system of activator–inhibitor or substrate-depletion type which is subject to diffusion-driven instability if supplemented by pure Neumann boundary conditions. We show by a degree-theoretic approach that an obstacle (e.g. a unilateral membrane) modeled in terms of inequalities, introduces new bifurcation of spatial patterns in a parameter domain where the trivial solution of the problem without the obstacle is stable. Moreover, this parameter domain is rather different from the known case when also Dirichlet conditions are assumed. In particular, bifurcation arises for fast diffusion of activator and slow diffusion of inhibitor which is the difference from all situations which we know. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2012
Počet záznamů: 1