CORDIS Project
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This project focuses on advancing the mathematical understanding of nonlinear dispersive partial differential equations, particularly the nonlinear Schrödinger and Korteweg-de Vries equations. It aims to develop new techniques for studying these equations from both deterministic and probabilistic perspectives.
Nonlinear dispersive partial differential equations (PDEs) appear ubiquitously as models describing wave phenomena in various branches of physics and engineering.
Over the last few decades, multilinear harmonic analysis has played a crucial role in the development of the theoretical understanding of the subject.
Furthermore, in recent years, a non-deterministic point of view has been incorporated into the study of nonlinear dispersive PDEs, enabling us to study typical behaviour of solutions in…
THE UNIVERSITY OF EDINBURGH
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