Public statement.
def
AVenhance.IsTransportWeakSolution
(b : ℝ → Homogenization.Vec 2 → Homogenization.Vec 2)
(θ₀ : Homogenization.Vec 2 → ℝ)
(θ : ℝ → Homogenization.Vec 2 → ℝ)
:
Weak solution on [0,1] × 𝕋² of the transport equation ∂ₜθ + b·∇θ = 0, θ(0) = θ₀
(the κ = 0 limit, source line 10132), in divergence form ∂ₜθ + ∇·(bθ) = 0, which is the same
equation for divergence-free b. Same regularity carriers, weak continuity and test class as
IsWeakSolutionGrad, minus the H¹ gradient; the drift integrand is required integrable so no
integral takes the Bochner junk value.
Equations
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