Applied Mathematical Problems in Geophysics

This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues. The contributions reflect five major topics identified by the SIES (Strategic Initiatives for the Environment and Security) as having significant societal impact: optimal control in waste management, in particular the degradation of organic waste by an aerobic biomass, by means of a mathematical model; recent developments in the mathematical analysis of subwave resonators; conservation laws in continuum mechanics, including an elaboration on the notion of weak solutions and issues related to entropy criteria; the applications of variational methods to 1-dimensional boundary value problems, in particular to light ray-tracing in ionospheric physics; and the mathematical modelling of potential electromagnetic co-seismic events associated to large earthquakes. This material will provide a sound foundation for those who intend to approach similar problems from a multidisciplinary perspective.

Contenu

Introduction.- Optimal Control Strategies for Composting Processes in Biocells with L1 type and L2 type Cost Objectives.- Wave Interaction with Subwavelength Resonators.- Variational Methods With Application To One-Dimensional Boundary Value Problems And Numerical Evaluations.- Electromagnetic Hypogene Co-seismic Sources.- Conservation Laws in Continuum Mechanics.