Singular limits for the two-phase Stefan problem
Jan W. Prüss, Jürgen Saal, Gieri Simonett · Discrete and Continuous Dynamical Systems · 2013
We prove strong convergence to singular limits for a linearizedfully inhomogeneous Stefan problem subject to surface tension and kineticundercooling effects. Different combinations of $\sigma \to \sigma_0$and $\delta\to\delta_0$, where $\sigma,\sigma_0\ge 0$ and$\delta,\delta_0\ge 0$ denote surface tension and kinetic undercoolingcoefficients respectively, altogether lead to five different typesof singular limits. Their strong convergence is based on uniformmaximal regularity estimates.