抄録
In this paper we consider a free boundary problem (a modified Umeda's model) related to amoeba motion. We show the existence of time-global classical solutions and study their behavior in the spherically symmetric case. To this end, we carefully trace the trajectory of solutions, and find a positive invariant region to show the boundedness of solutions. We observe that the properties of the solutions agree with the real motion of amoeba.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 93-116 |
| ページ数 | 24 |
| ジャーナル | Differential and Integral Equations |
| 巻 | 25 |
| 号 | 1-2 |
| 出版ステータス | Published - 1月 1 2012 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 分析
- 応用数学