Mathematics and Geosciences: Global and Local Perspectives

Mathematical models and methods are required for diverse studies in Geosciences and simultaneously, new problems are posing new needs where Mathematics is needed. At the initiative of American and Canadian research mathematical institutes and societies, year 2013 was declared a thematic year in Mathematics and the Planet Earth, under the patronage of UNESCO. To mark the MPE2013, and highlight the two-way street between Mathematics and Earth Sciences, the workshop Mathematics and Geosciences: Global and Local Perspectives was hold in Madrid at ICMAT from 4-8 November, 2013. This is the first volume of the Topical Issue on Mathematics and Geosciences: Global and Local Perspectives and contains 13 papers, most of which were presented at the congress. They address different topics under both global and local perspectives such as the percolation theory to observe micro seismicity in fracking, fractional differential analysis to model complex dynamics, climate change, earthquake statistics, earth rotation, geomagnetic field, fire models, Mars exploration, numerical methods in meteorology and environmental conservation, probabilistic models in study of soils and fluid mechanics. This volume addresses the interest of scientists of many of the branches in Earth Sciences as well as postgraduate students, covering both approaches, applied and theoretical ones, to solve different problems in Geosciences with the help of mathematical models and methods.

The papers are related to the workshop Mathematics and Geosciences: Global and Local Perspectives which was hold in Madrid at ICMAT from 4-8 November, 2013 The papers deal with different topics under both global and local perspectives such as the percolation theory to observe micro seismicity in fracking, fractional differential analysis to model complex dynamics This volume addresses the interest of scientists of many of the branches in Earth Sciences as well as postgraduate students, covering both approaches, applied and theoretical ones, to solve different problems in Geosciences with the help of mathematical models and methods

Inhalt

Introduction to "Mathematics and Geosciences: Global and local perspectives. Vol. I", by R. Orive, M.L. Osete, J.I. Díaz, J. Fernández.- Anisotropy in Fracking: A Percolation Model for Observed Micro seismicity, by J. Q. Norris, D. L. Turcotte, J. B. Rundle.- The Negative Binomial Distribution as a Renewal Model for the Recurrence of Large Earthquakes, by A. Tejedor, J. B. Gómez, A. F. Pacheco.- Mathematics and Mars Exploration, by M.P. Velasco, D. Usero, S. Jiménez, C. Aguirre, L. Vázquez.- A simple thousand year prognosis for ocean and atmosphere carbon change, by A. C. Fowler.- Earth´s Rotation: a challenging problem in Mathematics and Physics, by J. M. Ferrándiz, J. Getino, A. Escapa, Juan F. Navarro.- Geo systemics: a systemic view of the Earth's magnetic field and possibilities for an imminent geomagnetic transition, by A. De Santis, E. Qamili.- Non-Dipole and Regional Effects on the Geomagnetic Dipole Moment Estimation, by S. A. Campuzano, F. J. Pavón-Carrasco, M. L. Osete.- Wind Forecasting Based on the HARMONIE Model and Adaptive Finite Elements, by A. Oliver, E. Rodríguez, J. M. Escobar, G. Montero, M. Hortal, J. Calvo, J. M. Cascón, R. Montenegro.- A wildland fire physical model well suited to data assimilation, by L. Ferragut, M.I. Asensio, J.M. Cascón, D. Prieto.- Computer simulation of packing of particles with size distributions produced by fragmentation processes, by M. A. Martín, F. J. Muñoz, M. Reyes, F. J. Taguasa.- Valuation of the optimal utility of some investment projects with irreversible environmental effects, by I. Arregui, C. Vázquez.- Volume, Surface, Connectivity and Size Distribution of Soil Pore Space in CT Images. Comparison of Samples at Different Depths from Natural and Tillage Nearby Areas., by F. J. Muñoz-Ortega, F. San José Martínez, F. J. Caniego Monreal.- Disperse two-phase flows, with applications to geophysical problems, by L. C. Berselli, M. Cerminara, T. Iliescu.