论文信息 - Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature

Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature

The coupling of the Stefan equation for the heat flow with the Gibbs–Thomson law relating the melting temperature to the mean curvature of the phase interface is considered. Solutions, global in time, are constructed which satisfy the natural a priori estimates. Mathematically the main difficulty is to prove a certain regularity in time for the temperature and the indicator function of the phase separately. A capacity type estimate is used to give an L1 bound for fractional time derivatives.

Stephan Luckhaus | S. Luckhaus

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