Maximal-in-time behavior of deterministic and stochastic dispersive partial differential equations

Abstract

Description

This is the PhD thesis of Geordie Richards, written in the Department of Mathematics at the University of Toronto. Richards thesis work was advised jointly by James Colliander and Tadahiro Oh.

Keywords

partial differential equations, stochastic differential equations, well-posedness, singularity formation, Gibbs measure, Invariant measures, Korteweg de Vries equation, Dave-Stewartson Equation

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