The Nonlinear Schrödinger Equation

Self-Focusing and Wave Collapse

Catherine Sulem, Pierre-Louis Sulem (Autoren)

Buch | Softcover

350 Seiten

2013 | Softcover reprint of the original 1st ed. 1999
Springer-Verlag New York Inc.
9781475773071 (ISBN)

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This monograph reviews in detail significant results concerning the phenomena of wave collapse, as described by the NLS equation, or its generalization when couplings to additional fields driven by the wave modulation are relevant. Several approaches, ranging from rigorous mathematical analysis to formal asymptotics expansions and numerical simulations are presented.

Basic Framework.- The Physical Context.- Structural Properties.- Rigorous Theory.- Existence and Long-Time Behavior.- Standing Wave Solutions.- Blowup Solutions.- Asymptotic Analysis near Collapse.- Numerical Observations.- Supercritical Collapse.- Critical Collapse.- Perturbations of Focusing NLS.- Coupling to a Mean Field.- Mean Field Generation.- Gravity-Capillary Surface Waves.- The Davey-Stewartson System.- Coupling to Acoustic Waves.- Langmuir Oscillations.- The Scalar Model.- Progressive Waves in Plasmas.

Reihe/Serie	Applied Mathematical Sciences ; 139
Zusatzinfo	XVI, 350 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
ISBN-13	9781475773071 / 9781475773071
Zustand	Neuware