Herraiz, Luis A.Herrero, Miguel A.Velázquez, J.J. L.2023-06-202023-06-202001-040308-210510.1017/S0308210500000913https://hdl.handle.net/20.500.14352/57836We consider here the radial Stefan problem with Gibbs-Thomson law, which is a classical model describing growth or melting of a spherical crystal in a surrounding liquid. We shall specialize to the cases of two and three space dimensions and discuss the asymptotic behaviour of a melting crystal near its dissolution time t(*)>0. We prove here that, when the interface shrinks monotonically, the asymptotics near t=t(*) is of the form R(t)~(3σ(t(*)-t))(1/3), u(r,t)~-σ/r for r~R(t), r>R(t). Here, R(t) denotes the radius of the crystal, σ is a surface tension parameter and u(r,t) represents the field temperature. An important point to be noticed is that (*) exhibits no dependence on the space dimension N, in sharp contrast with results known for the case σ = 0.engjournal articlehttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=1201356http://journals.cambridge.orgrestricted access517.956.4539.2Asymptotic behaviourStefan problem with Gibbs-Thomson lawEcuaciones diferenciales1202.07 Ecuaciones en Diferencias