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On the Blowup for the $L^2$‐Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class

✍ Scribed by Visan, Monica; Zhang, Xiaoyi

Book ID
118198625
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
275 KB
Volume
39
Category
Article
ISSN
0036-1410

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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