Catherine Sulem, Pierre-Louis Sulem

The Nonlinear Schrödinger Equation

Self-Focusing and Wave Collapse

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Applied Mathematical Sciences 139
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4757-7307-1
• Softcover reprint of the original 1st ed. 1999
• Seitenzahl: 372
• Erscheinungstermin: 14. März 2013
• Englisch
• Abmessung: 235mm x 155mm x 21mm
• Gewicht: 584g
• ISBN-13: 9781475773071
• ISBN-10: 1475773072
• Artikelnr.: 39560314

Inhaltsangabe

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.