CORDIS Project
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This project investigates partial differential equations (PDEs) that describe physical phenomena involving transport dynamics. It aims to gain insights into the structure of solutions and develop rigorous mathematical bounds for complex fluid flow behaviors.
Several important partial differential equations (PDEs) arising in the mathematical description of physical phenomena exhibit transport features: physical quantities are advected by velocity fields that drive the dynamics of the system.
This is the case for instance for the Euler equation of fluid dynamics, for conservation laws, and for kinetic equations.An ubiquitous feature of these phenomena is their intrinsic lack of regularity.
From the mathematical point of view this stems from the nonlin…
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