This book, which tends to connect mathematical results and phenomenological modeling, should promote the transfer of information between the various communities concerned with nonlinear waves. Graduate students and researchers in the fields of pure and applied mathematics, nonlinear optics, plasma p
The Nonlinear Schroedinger Equations Self-Focusing and Wave Collapse
✍ Scribed by Catherine Sulem , Pierre-Louis Sulem
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No coin nor oath required. For personal study only.
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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
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
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
This study of Schrödinger equations with power-type nonlinearity provides a great deal of insight into other dispersive partial differential equations and geometric partial differential equations. It presents important proofs, using tools from harmonic analysis, microlocal analysis, functional analy