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

Zhu, Peicheng. "Viscosity solutions to a new phase-field model for martensitic phase transformations." Application of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015. 256-263. <http://eudml.org/doc/287773>.

@inProceedings{Zhu2015,
abstract = {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.},
author = {Zhu, Peicheng},
booktitle = {Application of Mathematics 2015},
keywords = {phase-field model; martensitic phase transitions; viscosity solution; initial-boundary value problem},
location = {Prague},
pages = {256-263},
publisher = {Institute of Mathematics CAS},
title = {Viscosity solutions to a new phase-field model for martensitic phase transformations},
url = {http://eudml.org/doc/287773},
year = {2015},
}

TY - CLSWK
AU - Zhu, Peicheng
TI - Viscosity solutions to a new phase-field model for martensitic phase transformations
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 256
EP - 263
AB - 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.
KW - phase-field model; martensitic phase transitions; viscosity solution; initial-boundary value problem
UR - http://eudml.org/doc/287773
ER -