Mathematical Paradigms of Climate Science [Paperback]

This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (Mathematics of Planet Earth 2013). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earths environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation techniques for climate modeling is amply illustrated in this volume, which also identifies important future challenges.

1 Christof Meile and Chris K. R. T. Jones: A mathematical perspective on microbial processes in Earth's biogeochemical cycles.- 2 Fatiha Alabau-Boussouira, Piermarco Cannarsa and Masahiro Yamamoto: Source reconstruction by partial measurements for a class of hyperbolic systems in cascade.- 3 Didier Auroux, Jacques Blum and Giovanni Ruggiero: Data assimilation for geophysical fluids: the diffusive back and forth nudging.- 4 Alberto Carrassi and St?phane Vannitsem: Deterministic treatment of model error in geophysical data assimilation.- 5 Franco Flandoli: Remarks on stochastic Navier-Stokes equations.- 6  Jan Gairing, Michael H?gele, Tetiana Kosenkova and Alexei Kulik: On the calibration of L?vy driven time series with coupling distances and an application in paleoclimate.- 7 Damon McDougalllƒ&