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.
Citation
Harunori Monobe. "Behavior of solutions for a free boundary problem describing amoeba motion." Differential Integral Equations 25 (1/2) 93 - 116, January/February 2012. https://doi.org/10.57262/die/1356012828
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