Self-Focusing and Wave Collapse
Applied Mathematical Sciences/139
by: Catherine Sulem, Pierre-Louis Sulem
Print Length: 350 pages
Publisher: Springer; 1 edition- (June 18, 1999
Product Description
This monograph aims to fill the gap between the mathematical literature which significantly contributed during the last decade to the understanding of the collapse phenomenon, and applications to domains like plasma physics and nonlinear optics where this process provides a fundamental mechanism for small scale formation and wave dissipation. This results in a localized heating of the medium and in the case of propagation in a dielectric to possible degradation of the material. For this purpose, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal asymptotic expansions and numerical simulations.
