Počet záznamů: 1
Bifurcation for a reaction-diffusion system with unilateral obstacles with pointwise and integral conditions
- 1.0353059 - MÚ 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. E-ISSN 1878-5719
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
Počet záznamů: 1