附註:Includes bibliographical references (pages 309-338) and indexes.
I Basic framework -- II Rigorous theory -- III Asymptotic analysis near collapse -- IV Coupling to a slaved mean field -- V Coupling to acoustic waves.
摘要: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.
