Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions II, examples

0175069 - MU-W 20025118 RIV CZ eng J - Článek v odborném periodiku
Eisner, Jan
Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions II, examples.
Mathematica Bohemica. Roč. 126, č. 1 (2001), s. 119-140. ISSN 0862-7959
Grant CEP: GA ČR GA201/98/1453; GA MŠMT VS97156
Klíčová slova: bifurcation%spatial patterns%reaction-diffusion system
Kód oboru RIV: BA - Obecná matematika

The destabilizing effect of four different types of multivalued conditions describing the influence of semipermeable membranes or of unilateral inner sources to the reaction-diffusion system is investigated. The validity of the assumptions sufficient for the destabilization which were stated in the first part is verified for these cases. Thus the existence of points at which the spatial patterns bifurcate from trivial from trivial solutions is proved.
Trvalý link: http://hdl.handle.net/11104/0072060