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On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

For the time-fractional phase field models, the corresponding energy dissipation law has not been settled on both the continuous level and the discrete level. In this work, we shall address this open issue. More precisely, we prove for the first time that the time-fractional phase field models indeed admit an …