Public statement.
noncomputable def
AVenhance.advDiffOp
(b : ℝ → Homogenization.Vec 2 → Homogenization.Vec 2)
(κ : ℝ)
(u : ℝ → Homogenization.Vec 2 → ℝ)
(t : ℝ)
(x : Homogenization.Vec 2)
:
(∂_t - κ Δ + b · ∇) u, classical derivatives (source order of e.theta.m, label 3856).
Equations
- AVenhance.advDiffOp b κ u t x = deriv (fun (s : ℝ) => u s x) t - κ * AVenhance.spaceLap (u t) x + Homogenization.vecDot (b t x) (AVenhance.spaceGrad (u t) x)