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Viscosity solutions to a new phase-field model for martensitic phase transformations

Zhu, Peicheng (2015)

Application of Mathematics 2015

We investigate a new phase-field model which describes martensitic phase transitions, driven by material forces, in solid materials, e.g., shape memory alloys. This model is a nonlinear degenerate parabolic equation of second order, its principal part is not in divergence form in multi-dimensional case. We prove the existence of viscosity solutions to an initial-boundary value problem for this model.

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