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.

EUDML-ID : urn:eudml:doc:287773
Mots clés:
Mots clés:

@article{702982,
     title = {Viscosity solutions to a new phase-field model for martensitic phase transformations},
     booktitle = {Application of Mathematics 2015},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics CAS},
     address = {Prague},
     year = {2015},
     pages = {256-263},
     zbl = {06669936},
     url = {http://dml.mathdoc.fr/item/702982}
}

Zhu, Peicheng. Viscosity solutions to a new phase-field model for martensitic phase transformations, dans Application of Mathematics 2015, GDML_Books,  (2015), pp. 256-263. http://gdmltest.u-ga.fr/item/702982/