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Numerical simulation of unstable processes in phase decomposition problem. (Russian. English summary) Zbl 1055.74031

Summary: We carry out numerical simulation of phase decomposition in binary alloys for a conservative phase field system. For the one-dimensional spatial problem, explicit and implicit difference schemes are proposed. Numerical results describe the interface motion, the evolution and bifurcation of a “soliton”, and the motion and bifurcation of an oscillating singularity.

MSC:

74N20 Dynamics of phase boundaries in solids
74S20 Finite difference methods applied to problems in solid mechanics
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