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The Nonlinear Schrödinger Equation - Catherine Sulem, Pierre-Louis Sulem

The Nonlinear Schrödinger Equation

Self-Focusing and Wave Collapse
Buch | Hardcover
350 Seiten
1999
Springer-Verlag New York Inc.
978-0-387-98611-1 (ISBN)
CHF 224,65 inkl. MwSt
Filling the gap between the mathematical literature and applications to domains, this title addresses the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.
Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.

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
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Strömungsmechanik
Technik Maschinenbau
ISBN-10 0-387-98611-1 / 0387986111
ISBN-13 978-0-387-98611-1 / 9780387986111
Zustand Neuware
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