Počet záznamů: 1

Global Bifurcation for a Reaction-Diffusion System with Inclusions

  1. 1.
    0331689 - MU-W 2010 RIV DE eng J - Článek v odborném periodiku
    Eisner, Jan - Kučera, Milan - Väth, M.
    Global Bifurcation for a Reaction-Diffusion System with Inclusions.
    Zeitschrift für Analysis und Ihre Anwendungen. Roč. 28, č. 4 (2009), s. 373-409 ISSN 0232-2064
    Grant CEP: GA AV ČR IAA100190506
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: global bifurcation * degree * stationary solutions * reaction-diffusion system * Laplace operator
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.371, rok: 2009

    We consider a reaction-diffusion system exhibiting diffusion driven instability if supplemented by Dirichlet-Neumann boundary conditions. We impose unilateral conditions given by inclusions on this system and prove that global bifurcation of spatially non-homogeneous stationary solutions occured in the domain of parameters where bifurcation is excluded for the original mixed boundary value problem. Inclusions can be considered in one of the equations itself as well as in boundary conditions.
    Trvalý link: http://hdl.handle.net/11104/0177139