Measure-valued solutions of a heterogeneous Cahn-Hilliard system in elastic solids

Irena Pawłow, and Wojciech M. Zajączkowski. "Measure-valued solutions of a heterogeneous Cahn-Hilliard system in elastic solids." Colloquium Mathematicae 112.2 (2008): 313-334. <http://eudml.org/doc/283509>.

@article{IrenaPawłow2008,
abstract = {The paper is concerned with the existence of measure-valued solutions to the Cahn-Hilliard system coupled with elasticity. The system under consideration is anisotropic and heterogeneous in the sense of admitting the elasticity and gradient energy tensors dependent on the order parameter. Such dependences introduce additional nonlinearities to the model for which the existence of weak solutions is not known so far.},
author = {Irena Pawłow, Wojciech M. Zajączkowski},
journal = {Colloquium Mathematicae},
keywords = {phase separation; elasticity system; order parameter},
language = {eng},
number = {2},
pages = {313-334},
title = {Measure-valued solutions of a heterogeneous Cahn-Hilliard system in elastic solids},
url = {http://eudml.org/doc/283509},
volume = {112},
year = {2008},
}

TY - JOUR
AU - Irena Pawłow
AU - Wojciech M. Zajączkowski
TI - Measure-valued solutions of a heterogeneous Cahn-Hilliard system in elastic solids
JO - Colloquium Mathematicae
PY - 2008
VL - 112
IS - 2
SP - 313
EP - 334
AB - The paper is concerned with the existence of measure-valued solutions to the Cahn-Hilliard system coupled with elasticity. The system under consideration is anisotropic and heterogeneous in the sense of admitting the elasticity and gradient energy tensors dependent on the order parameter. Such dependences introduce additional nonlinearities to the model for which the existence of weak solutions is not known so far.
LA - eng
KW - phase separation; elasticity system; order parameter
UR - http://eudml.org/doc/283509
ER -