Shadow system for adsorbate-induced phase transition model Dedicated to Professor Toshitaka Nagai on the occasion of his sixtieth birthday
Kousuke Kuto, Tohru Tsujikawa · 2009
Hildebrand et al. [6] proposed a kinematic model describing a structural phase transition arising in surface chemistry. By the numerical simulations, several stationary patterns of this model are shown in [17]. In the present paper, we introduce a shadow system in a limiting case that a diffusion coefficient tends to infinity and show the bifurcation structure of stationary solutions of the system in the one-dimensional case.