Počet záznamů: 1

Bifurcation for a reaction-diffusion system with unilateral obstacles with pointwise and integral conditions

  1. 1.
    0353059 - MU-W 2011 RIV GB eng J - Článek v odborném periodiku
    Väth, Martin
    Bifurcation for a reaction-diffusion system with unilateral obstacles with pointwise and integral conditions.
    Nonlinear Analysis: Real World Applications. Roč. 12, č. 2 (2011), s. 817-836 ISSN 1468-1218
    Grant CEP: GA AV ČR IAA100190805
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: global bifurcation * degree * stationary solutions
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 2.043, rok: 2011
    http://www.sciencedirect.com/science/article/pii/S1468121810001951

    A reaction-diffusion system of activator-inhibitor or substrate-depletion type is considered which is subject to diffusion driven instability. It is shown that obstacles (e.g. a unilateral membrane) for one or both quantities introduce a new bifurcation of spatially non-homogeneous steady states in a parameter domain where the trivial branch is exponentially stable without obstacles. The obstacles are modeled in terms of inclusions. Moreover, simultaneously some of the obstacles can be modeled also using nonlocal integral conditions.
    Trvalý link: http://hdl.handle.net/11104/0192405
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