Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 93-116 |
| Number of pages | 24 |
| Journal | Differential and Integral Equations |
| Volume | 25 |
| Issue number | 1-2 |
| Publication status | Published - Jan 1 2012 |
| Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics