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 ...

Annals of Mathematics, SECOND SERIES, Vol. 183, No. 3 (May, 2016), pp. 787-913 (127 pages) ...