"The fluid Earth is an excellent example of a forced, dissipative non-equilibrium system dominated by nonlinear processes and featuring multi-scale interactions, so that its understanding can be approached using the tools of dynamical systems theory and non-equilibrium statistical mechanics. The understanding of the statistical properties of a system under consideration is crucial per se and in a variety of applications, especially when considering large fluctuations which may result into extreme events of relevant impact. The differential equations that describe mathematically the fluid components, in particular the Navier-Stokes equations and their many variants and reductions, are at the core of the work of any analyst working in nonlinear PDEs. The many fundamental questions still open are often precisely the questions at the heart of the link between analysts and geophysicists."
Hosted by the Isaac Newton Institute for Mathematical Sciences this is a series of video seminars of real interest for geoscientists. You can find it by clicking on Newton's image