|Title: "On a two-pooint free boundary problem"|
We consider a two-point free boundary problem for the heat equation and curvature flow equation in one spatial dimension. The graph of the solution has two fixed touching angles with two given straight lines. Depending on these angles, it can be classified into three different cases, namely, expanding, area-preserving, and shrinking cases. We study the existence and uniqueness of self-similar solutions in various cases. Some stability results for these self-similar solutions are also derived.
|Back to Schedule|
|Back to Session II|