Is Distributional Drift Diffusion #
Supporting results for the Constantin–Ignatova–Vicol axisymmetric regularity theorem.
def
CIV.IsDistributionalDriftDiffusion
(m d : ℕ)
(I : Set ℝ)
(B : CKN.Vec m × ℝ → CKN.Vec m)
(divB q : CKN.Vec m × ℝ → ℝ)
:
∂_τ q + B·∇q = Δ_X q on Vec m × I in the sense of distributions, with
B·∇q = div(Bq) - (div B) q (footnote to eq:aniso:comparison:equation), the divergence
div B of the drift being carried as data (design note N5).
Equations
- One or more equations did not get rendered due to their size.