"As an outgrowth of a symposium held in Taormina, Italy, in 2001, ten invited papers on multifield theories for continua with substructure are presented here. Multifield theories aim to bridge the area between materials science and continuum mechanics. From the standpoint of material constituents, the simplest model is considered in the contribution of I. Muller: a monatomic gas. Other contributions deal with the interaction of polymer chains and the turbulent state of a fluidwith topological properties of defects, of shape memory and others. The perhaps most theoretical article is by Cendra, Marsden and Ratiu onextendedPoisson brackets with cocycles. The articles, though dealing with nontrivial matters, are quite readable and informative even for the nonspecialist."
Monatshefte fur Mathematik
"...This compendium is extremely diverse ...The individual contributions in this compendium are certainly quite interesting and worth reading."
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