Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

This course is an introduction to the theory of non-linear wave equations. The plan is to cover the following topics: (1) The linear wave equation in Minkowski space: Representation formula, Fourier ...

Deep-water wave groups are known to be unstable and become rogue. Such unstable wave groups propagate independently regardless of interference. Results seem to support the concept of an unperturbed ...

University of Queensland researchers have created a microscopic "ocean" on a silicon chip to miniaturize the study of wave dynamics. The device, made at UQ's School of Mathematics and Physics, uses a ...

Two mathematicians have published a new paper that advances the art -- or shall we say, the math -- of describing a wave. The study explores what happens when a regular wave pattern has small ...

Abstract: A feature of solutions of a (generally nonlinear) field theory can be called "universal" if it is independent of side conditions like initial data. I will explain this phenomenon in some ...