CORDIS Project
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This project investigates hydrodynamic-type systems as a means to understand critical phenomena like shock waves through the lens of partial differential equations. By exploring integrable equations in two-dimensional space-time, the research aims to uncover universal behaviors near critical events.
Systems of hydrodynamic type are first-order quasi-linear PDEs (partial differential equations).
Their solutions are generically singular.
As certain limits of more general nonlinear PDEs, modelling e.g. the evolution of physical systems, they describe critical phenomena, like shock waves.
An embedding in (or deformation to) a more general nonlinear PDE typically ""regularises"" such a critical phenomenon and introduces specific features.
The question how such a catastrophe becomes noticeable ne…
GEORG-AUGUST-UNIVERSITAT GOTTINGEN STIFTUNG OFFENTLICHEN RECHTS
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