CORDIS Project
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This project explores the Lagrangian Representation, a novel mathematical tool, to analyze nonlinear Partial Differential Equations in various fields like physics and engineering. It addresses challenges in understanding irregular solutions, focusing on conservation laws and their applications in traffic flow and contr…
The core of this project is the Lagrangian Representation (LR) and the interplay of this novel Geometric Measure Theory (GMT) tool with the study of 1st-order, nonlinear Partial Differential Equations (PDEs).
Several nonlinear PDEs arise in important models from physics, engineering, biology and chemistry.
The lack of regularity is an intrinsic feature of these models and reflects actual properties of the underlying real-world systems, as for example shock waves in fluid dynamics or traffic flow…
UNIVERSITA DEGLI STUDI DI PADOVA
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