Tipping Points in Modelling Seminar - Beyond Euler and Navier–Stokes: New Theories of Compressible Flow
This event has moved from 16 October to 8 October.
Abstract: With a focus on their specialization to acoustic phenomena, I will survey several generalizations of the Euler and Navier–Stokes equations that have been put forth since the mid-1990s. These include, but are not limited to, a compressible version of the lossless α–model, the original version of which was put forth by Holm et al.; Green & Naghdi’s (1995) formulation of thermo-acoustics that includes the phenomenon of second-sound; and Straughan’s “Cattaneo–Christov” model, which describes the propagation of thermal and mechanical waves in gases. Along the way, the positive and negative features of these models will be discussed, applications to other fields noted, and a number of new results presented. (Work supported by ONR funding.)
About the series:
Mathematical and computational models are widely used by physical and social scientists. These models are normally used to investigate the dynamics of a complex system like climate, financial markets, energy systems or societal behaviour. Due to the complexity of the systems being analysed, it is often necessary to investigate the fragility of such models and explore its capability to adapt to tipping points such as drastic climate change, financial crisis, blackouts or social epidemics.
Through a series of interdisciplinary seminar lunches, the following issues will be discussed:
- How stable and close to reality are model outputs when near a tipping point?
- How does the level of complexity of a model affect the predictability of important events?
- How can we differentiate a tipping point induced by the modelling process and a real tipping point?
- How do we assess the fragility of a model?
- How do mathematical, statistical and agent-based models differ when capturing the dynamics of tipping points in a complex system?
This series will maintain continuity and expansion of the interest group which has built up through previous IAS modelling seminar series and addresses new questions raised by researchers in previous sessions. The seminars are open to all researchers at Durham, and collaborators.
Tea/coffee will be provided but spaces are limited, please sign-up to any of the events listed by contacting Camila Caiado (firstname.lastname@example.org) .