import OAI.MathematicalPhysics.DefocusingNLS.Certificates
import OAI.MathematicalPhysics.DefocusingNLS.Profile
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum
import OAI.MathematicalPhysics.DefocusingNLS.Linear
import OAI.MathematicalPhysics.DefocusingNLS.Nonlinear
import OAI.MathematicalPhysics.DefocusingNLS.MainTheorems

/-!
# Stable blowup for the defocusing Schrödinger equation

Arbitrarily large odd powers admit a nonempty open family of classical solutions
on the twelve-dimensional torus with finite-time self-similar blowup. For the
same power and integer Sobolev order above eight, every Gaussian decay exponent
above that order plus six has positive blowup probability.

The construction combines radial profiles, spectral classification, decay on
expanding tori, nonlinear stable graphs, physical-data openness and Gaussian
full support.
-/