Quasi-Triviality and Universality of Integrable Conservation Laws and their Thermodynamic Interpretation
- Date: Friday 19 October 2018, 16:00 – 17:00
- Location: Mathematics Level 8, MALL 1, School of Mathematics
- Type: Seminars, Applied Mathematics, Integrable Systems
- Cost: free
Antonio Moro, Northumbria University
Quasi-triviality is the property of systems of evolutionary PDEs that can be reduced to a system of hydrodynamic type via quasi-Miura transformations. The quasi-Miura transformation is a powerful tool to construct formal solutions to a PDE given a solution to the associated hydrodynamic type equation.
We discuss the quasi-triviality of scalar conservation laws in relation with the classical method of transport equations and the use of transport equations to effectively construct the quasi-Miura transformation.
Finally, we show how conservation laws of hydrodynamic type naturally arise in the study of general thermodynamic systems, how the quasi-Miura map can be used to deform classical equations of state, describe the state functions and their universal features.