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The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher

✍ Scribed by Rowan Killip, ; Monica Visan,

Book ID
118226106
Publisher
John Hopkins University Press
Year
2010
Tongue
English
Weight
684 KB
Volume
132
Category
Article
ISSN
0002-9327

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📜 SIMILAR VOLUMES

Blowup in the Nonlinear Schrödinger Equa
Blowup in the Nonlinear Schrödinger Equation Near Critical Dimension
✍ Vivi Rottschäfer; Tasso J. Kaper 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 235 KB

This article contains an analysis of the cubic nonlinear Schrödinger equation and solutions that become singular in finite time. Numerical simulations show that in three dimensions the blowup is self-similar and symmetric. In two dimensions, the blowup still appears to be symmetric but is no longer