Stationary patterns for an adsorbate-induced phase transition model I: Existence

Kousuke Kuto*, Tohru Tsujikawa

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

We are concerned with a reaction-diffusion-advection system proposed by Hildebrand [4]. This system is a phase transition model arising in surface chemistry. For this model, several stationary patterns have been shown by the numerical simulations (e.g., [15]). In the present paper, we obtain sufficient conditions for the existence (or nonexistence) of nonconstant stationary solutions. Our proof is based on the Leray-Schauder degree theory. Some a priori estimates for solutions play an important role in the proof.

本文言語English
ページ(範囲)1105-1117
ページ数13
ジャーナルDiscrete and Continuous Dynamical Systems - Series B
14
3
DOI
出版ステータスPublished - 2010 10
外部発表はい

ASJC Scopus subject areas

  • 離散数学と組合せ数学
  • 応用数学

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