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- W794034612 abstract "In this paper we deal with the dynamics of material interfaces such as solid-liquid, grain or antiphase boundaries. We concentrate on the situation in which these internal surfaces separate three regions in the material with different physical attributes (e.g. grain boundaries in a polycrystal). The basic two-dimensional model proposes that the motion of an interface F,j between regions i and j (z,j = 1,2,3, i ^ j) is governed by the equation Here Vij, KtJ, /itJ and / t J denote, respectively, the normal velocity, the curvature, the mobility and the surface tension of the interface and the numbers F^ stand for the (constant) difference in bulk energies. At the point where the three phases coexist, local equilibrium requires that the curves meet at prescribed angles. (0.2) In case the material constants fa are small, fa = efa and e 0. Furthermore, we introduce the concept of weak viscosity solution for the problem with 6 = 0 and show that the VST solution coincides with the unique weak solution. Finally, we give examples showing that, in several cases of physical relevance, the VST solution differs from results proposed previously. 1991 Mathematics Subject Classifications: 65B10, 41A21, 41A25." @default.
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- W794034612 date "1994-01-01" @default.
- W794034612 modified "2023-09-27" @default.
- W794034612 title "Three-phase boundary motions under constant velocities." @default.
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