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LeanPool.AnomalousDiffusion.AVenhance.Statements.FullTheorem.IsTransportWeakSolution

Public statement.

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.

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