@Article{JPDE-9-153,
author = {Youshan Tao },
title = {The Limit of the Stefan Problem with Surface Tension and Kinetic Undercooling on the Free Boundary},
journal = {Journal of Partial Differential Equations},
year = {1996},
volume = {9},
number = {2},
pages = {153--168},
abstract = { In this paper we consider the Stefan problem with surface tension and kinetic undercooling effects, that is with the temperature u satisfying the condition u = -σK - εV_n on the interface Γ_t, σ, ε = const. ≥ 0 where K and V_n are the mean curvature and the normal velocity of Γ_t, respectively. In any of the following situations: (1) σ > 0 fixed, ε > 0, (2) σ = ε → 0; (3) σ → 0, ε = 0, we shall prove the convergence of the corresponding local (in time) classical solution of the Stefan problem.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5617.html}
}