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- W1493377037 abstract "A general model for the dissolution of particles in multi-component alloys is proposed and analyzed. The model is based on diffusion equations with cross-terms for the several species, combined with a Stefan condition as the equation of motion of the interface between the particle and diffusant phase. To facilitate the analysis we use a diagonalization argument or Jordan factorization for the diffusion matrix. Self-similar solutions with the Boltzmann transformation are derived to get insight into qualitative behavior of the solution and for comparison with numerical solutions. Several numerical schemes for the solution of the Stefan problem are proposed and compared. It turns out that diagonalization is usefull for numerical purposes too. However, for the case of position dependent diffusion coefficients or a non diagonalizable diffusion matrix, one has to use a different scheme. Here, we analyze stability and workload of several time integrations." @default.
- W1493377037 created "2016-06-24" @default.
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- W1493377037 date "2003-01-01" @default.
- W1493377037 modified "2023-09-26" @default.
- W1493377037 title "Solution of vector Stefan problems with cross-diffusion" @default.
- W1493377037 hasPublicationYear "2003" @default.
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