Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842956 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 21 Pages |
Abstract
We study the Fix-Caginalp equation describing non-isothermal solid-liquid phase transition. First, we formulate a thermally closed stationary state as a nonlinear eigenvalue problem with a non-local term. Then, some results on multiple existence, stability, and bifurcation of the solution are proven.
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Authors
Takashi Suzuki, Souhei Tasaki,