Measure-valued solutions of a heterogeneous Cahn–Hilliard system in elastic solids
Volume 112 / 2008
Colloquium Mathematicum 112 (2008), 313-334
MSC: 35D05, 35G30.
DOI: 10.4064/cm112-2-7
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.
