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.

Promotes industrial mathematics as a growing sector full of potential Provides a sound foundation for a multidisciplinary approach to geomathematical problems Includes examples of mathematical applications with a societal impact

Contenu

• 1. Introduction to the CIME Series Volume. - 2. Optimal Control Strategies for Composting Processes in Biocells with L 1Type and L 2Type Cost Objectives. - 3. Wave Interaction with Subwavelength Resonators. - 4. Variational Methods with Application to One-Dimensional Boundary Value Problems and Numerical Evaluations. - 5. Electromagnetic Hypogene Co-seismic Sources. - 6. Conservation Laws in Continuum Mechanics.