Abstract | Keywords | Export | Availability | Bookmark

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Schrödinger equation. --- Nonlinear theories. --- Schrödinger, Equation de --- Théories non linéaires --- Schrödinger equation. --- Schrèodinger equation --- Nonlinear theories --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Schrödinger, Equation de --- Théories non linéaires --- EPUB-LIV-FT SPRINGER-B --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Fluids. --- Analysis. --- Fluid- and Aerodynamics. --- Global analysis (Mathematics). --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- 517.1 Mathematical analysis --- Mathematical analysis --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical physics --- Equation, Schrödinger --- Schrödinger wave equation --- Differential equations, Partial --- Particles (Nuclear physics) --- Wave mechanics --- WKB approximation --- Schrödinger equation. --- Global analysis (Mathematics) --- fluid- and aerodynamics --- Schrodinger equation.