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A smoothing property of Schrödinger equations in the critical case

✍ Scribed by Michael Ruzhansky; Mitsuru Sugimoto


Publisher
Springer
Year
2006
Tongue
English
Weight
263 KB
Volume
335
Category
Article
ISSN
0025-5831

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Blowup in the Nonlinear Schrödinger Equa
✍ 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