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 ...

Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, Vol. 75 (1975), pp. 195-226 (33 pages) The study of a transmission line with negligible series resistance but ...

Journal of Nonlinear Waves is the home for the field of nonlinear wave phenomena, broadly defined. It publishes authoritative articles on theoretical and computational aspects of nonlinear waves ...

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 ...

where f(0) = 0. Here, u(x,t) is a real-valued function of n-dimensional space x and of time t. By periodic solution we understand solutions that are periodic in time and square integrable in space.

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 ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...