Non-global existence for an Allen-Cahn-Gurtin equation with logarithmic free energy
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We consider a simple Allen-Cahn-Gurtin model with a logarithmic potential. We show that strong solutions exist locally in time, but not globally in general. This is due to a lack of maximum principle.
Keywords:Maximum principle nonlinear pseudoparabolic equation
Mathematics Subject Classifications (2000):35K70 35B50
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