(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Colli, Pierluigi; Gilardi, Gianni; Krejcí, Pavel; Sprekels, Jürgen
The present note deals with a nonstandard systems of differential
equations describing a two-species phase segregation. This system naturally
arises in the asymptotic analysis carried out recently by the same authors,
as the diffusion coefficient in the equation governing the evolution of the
order parameter tends to zero. In particular, an existence result has been
proved for the limit system in a very general framework. On the contrary,
uniqueness was shown by assuming a constant mobility coefficient. Here, we
generalize this result and prove a continuous dependence property in the case
that the mobility coefficient suitably depends on the chemical potential
