CORDIS Project
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This project focuses on advancing the mathematical understanding of singular Stochastic Partial Differential Equations (SPDEs) and dispersive Partial Differential Equations (PDEs) through the development of algebraic tools and structures. It aims to enhance the resolution techniques using decorated trees and Hopf algeb…
Low regularity dynamics are used for describing various physical and biological phenomena near criticality.
The low regularity comes from singular (random) noise or singular (random) initial value.
The first example is Stochastic Partial Differential Equations (SPDEs) used for describing random growing interfaces (KPZ equation) and the dynamic of the euclidean quantum field theory (stochastic quantization).
The second concerns dispersive PDEs with random initial data which can be used for under…
UNIVERSITE DE LORRAINE
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