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 |
| 巻 | 14 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 2010 10月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 離散数学と組合せ数学
- 応用数学