| Abstract: |
| We are interested in bifurcation diagrams of stationary solutions to a phase field model proposed by Fix and followed by Caginalp. In this talk, we show all the global bifurcation diagrams of stationary solutions to the model in the 1-dimension case. Bifurcation diagrams are surprisingly rich in variety depending on the latent heat and the initial total enthalpy. For instance, bifurcation diagrams include the secondary bifurcation point where symmetric breaking occurs, and curves which connect a limit of boundary layer solutions to the other limit of internal layer solutions. |
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