Mathematical Models and Methods for Planet Earth

Alessandra Celletti, Ugo Locatelli, Tommaso Ruggeri e Elisabetta Strickland 

Springer | 2014 | 177 páginas | rar - pdf | 2,6 Mb

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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.

Contents
Mathematics of Planet Earth . 1
Christiane Rousseau
The Role of Boundary Layers in the Large-scale Ocean Circulation . . . 11
Laure Saint-Raymond
Noise-induced Periodicity: Some Stochastic Models for Complex Biological Systems . 25
Paolo Dai Pra, Giambattista Giacomin and Daniele Regoli
Kinetic Equations and Stochastic Game Theory for Social Systems . . . 37
Andrea Tosin
Using Mathematical Modelling as a Virtual Microscope to Support Biomedical Research .59
Chiara Giverso and Luigi Preziosi
Ferromagnetic Models for Cooperative Behavior: Revisiting Universality in Complex Phenomena . 73
Elena Agliari, Adriano Barra, Andrea Galluzzi, Andrea Pizzoferrato and Daniele Tantari
The Near Earth Asteroid Hazard and Mitigation . . . 87
Ettore Perozzi
Mathematical Models of Textual Data: A Short Review .  . 99
Mirko Degli Esposti
Space Debris Long Term Dynamics . .  . 111
Anne Lemaitre and Charles Hubaux
Mathematical Models for Socio-economic Problems . 123
Maria Letizia Bertotti and Giovanni Modanese
Climate as a Complex Dynamical System .. . . 135
Antonello Provenzale
Periodic Orbits of the N-body Problem with the Symmetry of Platonic Polyhedra . 143
Giovanni Federico Gronchi
Superprocesses as Models for Information Dissemination in the Future Internet. . 157
Laura Sacerdote, Michele Garetto, Federico Polito and Matteo Sereno
Appendix: Pictures from INdAMWorkshop .  . 171