Mother Operators and their Descendants

Details Mother Operators and their Descendants Mother Operators and their Descendants

2012-03-30

arxiv.org/abs/1203.6762v2

Mathematics

Analysis of PDEs

28 pages, revision: a more appropriate new reference [3], replaces old reference [15]

Scientific paper

A mechanism deriving new well-posed evolutionary equations from given ones is inspected. It turns out that there is one particular spatial operator from which many of the standard evolutionary problems of mathematical physics can be generated by this abstract mechanism using suitable projections. The complexity of the dynamics of the phenomena considered can be described in terms of suitable material laws. The idea is illustrated with a number of concrete examples.

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