Books in the CBMS-NSF Regional Conference Series in Applied Mathematics series

Presents a detailed discussion of both classical and recent results on the popular Cahn-Hilliard equation and some of its variants. The focus is on mathematical analysis of Cahn-Hilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open.

Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modelling issues and to some of the latest developments in these areas.

Presents the fundamentals of finite element exterior calculus, including the geometrical and functional analysis preliminaries, quickly and in one place. The book is also for mathematicians from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.