Modern geophysical research is increasingly dependent on mathematical modeling. Measuring devices located in research stations scattered all over the Earth, on satellites, and also in laboratories provide an incredibly large amount of data on geophysical processes, crucial for discovering the history of the Earth and predicting natural hazards in our future. These data require specialized methods of interpretation as well as a conceptual understanding. In both of these fields, geophysical research is critically based on modern mathematical methods and concepts.

Mathematical modeling in geophysics uses tools from a wide variety of mathematical findings from statistics, theory of dynamical systems, differential equations, graph theory, topology, and others to attack problems of time-series analysis, nonlinear problems in fluid dynamics, and wave propagation, to mention just a few examples. Moreover, some geophysical phenomena are of great complexity, and their comprehension is based on conceptual models created, sometimes even from first principles, in the spirit of complex systems theory. Creativity in the construction of models to describe geophysical phenomena often encounters new problems of a mathematical nature that can be a challenge and an inspiration for mathematicians.

This Special Issue is intended to bring together original research and reviews that represent the state of the art in various geophysical modeling topics, presented in a manner suitable for a mathematically oriented audience, with an emphasis on the central role of mathematical structures. Contributions regarding both theoretical and practical models of any geophysical phenomena are welcome.

Deadline for manuscript submissions: 30 November 2023.

More information on the special issue available on the website: Mathematics | Special Issue : Mathematical Modeling in Geophysics: Concepts and Practices (mdpi.com)