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Title: Viscosity solutions to a new phase-field model for martensitic phase transformations (English)
Author: Zhu, Peicheng
Language: English
Journal: Application of Mathematics 2015
Volume: Proceedings. Prague, November 18-21, 2015
Issue: 2015
Pages: 256-263
Category: math
Summary: 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. (English)
Keyword: phase-field model
Keyword: martensitic phase transitions
Keyword: viscosity solution
Keyword: initial-boundary value problem
MSC: 35D40
MSC: 35K65
idZBL: Zbl 06669936
Date available: 2017-02-14T10:27:36Z
Last updated: 2017-03-20
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