Mathematical Models and Methods for Planet Earth

Front Cover
Alessandra Celletti, Ugo Locatelli, Tommaso Ruggeri, Elisabetta Strickland
Springer Science & Business Media, Mar 5, 2014 - Science - 174 pages
In 2013 several scientific activities have been devoted to mathematical researches for the study of planet Earth. The current volume presents a selection of the highly topical issues presented at the workshop “Mathematical Models and Methods for Planet Earth”, held in Roma (Italy), in May 2013. The fields of interest span from impacts of dangerous asteroids to the safeguard from space debris, from climatic changes to monitoring geological events, from the study of tumor growth to sociological problems. In all these fields the mathematical studies play a relevant role as a tool for the analysis of specific topics and as an ingredient of multidisciplinary problems. To investigate these problems we will see many different mathematical tools at work: just to mention some, stochastic processes, PDE, normal forms, chaos theory.
 

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Contents

Mathematics of Planet Earth
1
The Role of Boundary Layers in the Largescale Ocean Circulation
11
Some Stochastic Models for Complex Biological Systems
25
Kinetic Equations and Stochastic Game Theory for Social Systems
37
Using Mathematical Modelling as a Virtual Microscope to Support Biomedical Research
58
Revisiting Universality in Complex Phenomena
73
The Near Earth Asteroid Hazard and Mitigation
87
A Short Review
98
Space Debris Long Term Dynamics
111
Mathematical Models for Socioeconomic Problems
123
Climate as a Complex Dynamical System
135
Periodic Orbits of the Nbody Problem with the Symmetry of Platonic Polyhedra
143
Superprocesses as Models for Information Dissemination in the Future Internet
156
Appendix Pictures from INdAMWorkshop
171
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