Existence and stability of multiple-spot solutions for the Gray–Scott model in R2
نویسندگان
چکیده
منابع مشابه
Existence and Stability of Multiple Spot Solutions for the Gray-scott Model in R2
In this paper, we rigorously prove the existence and stability of multiple spot patterns for the Gray-Scott system in a two dimensional domain which are far from spatial homogeneity. The Green's function together with its derivatives and two nonlocal eigenvalue problems both play a major role in the analysis. We establish a threshold behavior: If a certain inequality holds then we get stability...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2003
ISSN: 0167-2789
DOI: 10.1016/s0167-2789(02)00743-1