Derivation of delay equation climate models using the Mori-Zwanzig formalism.

ABSTRACT: Models incorporating delay have been frequently used to understand climate variability phenomena, but often the delay is introduced through an ad hoc physical reasoning, such as the propagation time of waves. In this paper, the Mori-Zwanzig formalism is introduced as a way to systematically derive delay models from systems of partial differential equations and hence provides a better justification for using these delay-type models. The Mori-Zwanzig technique gives a formal rewriting of the system using a projection onto a set of resolved variables, where the rewritten system contains a memory term. The computation of this memory term requires solving the orthogonal dynamics equation, which represents the unresolved dynamics. For nonlinear systems, it is often not possible to obtain

SUBMITTER: Falkena SKJ 

PROVIDER: S-EPMC6694309 | biostudies-literature | 2019 Jul

REPOSITORIES: biostudies-literature