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A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions
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SYSNO ASEP 0376831 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions Tvůrce(i) Baltaev, J.I. (UZ)
Kučera, Milan (MU-W) RID, SAI, ORCID
Väth, Martin (MU-W) RID, SAI, ORCIDZdroj.dok. Applications of Mathematics. - : Springer - ISSN 0862-7940
Roč. 57, č. 2 (2012), s. 143-165Poč.str. 23 s. Jazyk dok. eng - angličtina Země vyd. CZ - Česká republika Klíč. slova reaction-diffusion system ; unilateral condition ; variational inequality Vědní obor RIV BA - Obecná matematika CEP IAA100190805 GA AV ČR - Akademie věd CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000302093400005 EID SCOPUS 84862014804 DOI 10.1007/s10492-012-0010-2 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2013
Počet záznamů: 1