One-phase Stefan problem with a latent heat depending on the position of the free boundary and its rate of change
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Publication:4601310
zbMath1386.35487arXiv1703.07845MaRDI QIDQ4601310
Julieta Bollati, Domingo Alberto Tarzia
Publication date: 15 January 2018
Full work available at URL: https://arxiv.org/abs/1703.07845
Stefan problemsimilarity solutionexplicit solutionthreshold gradientone-dimensional consolidationvariable latent heat
Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Solutions to PDEs in closed form (35C05) Self-similar solutions to PDEs (35C06)
Related Items (8)
Global three-dimensional solvability the axisimmetric Stefan problem for quasilinear equation ⋮ Approximate solutions to one-phase Stefan-like problems with space-dependent latent heat ⋮ Auxiliary functions in the study of Stefan-like problems with variable thermal properties ⋮ Compactness theorems connected with problems with unknown boundary ⋮ A class of moving boundary problems with a source term: application of a reciprocal transformation ⋮ Two-phase Stefan problem with nonlinear thermal coefficients and a convective boundary condition ⋮ One-phase Stefan-like problems with latent heat depending on the position and velocity of the free boundary and with Neumann or Robin boundary conditions at the fixed face ⋮ Approximation of the modified error function
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