Singular Ring Solutions Of Critical And Supercritical Nonlinear Schrödinger Equations.pdf

supercritical_rings_PD07.pdf
Preview of Singular ring solutions of critical and supercritical nonlinear Schrödinger equations
🔗 Source: math.tau.ac.il
📊 Size: 3.46 MB
📄 Pages: 32 pages
⬇️ Downloads: 95

Summary

Singular ring solutions of the nonlinear Schrödinger equation (NLS) are presented, which collapse with a quasi self-similar ring profile ψQ. The blowup rate of these solutions is 1/(1+α) for 2/d ≤ σ < 2 and 1 < d, and a square root with a loglog correction when σ = 2 and 1 < d. The NLS has solutions that collapse with any blowup rate p for 1/2 ≤ p < 1.

Description

Singular ring solutions of the nonlinear Schrödinger equation (NLS) are presented, which collapse with a quasi self-similar ring profile ψQ.

Technical Information

  • File Format: PDF
  • File Size: 3.46 MB
  • Pages: 32
  • Language: EN
  • Total Downloads: 95
  • Last Updated: 3 weeks ago

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