Inputs for the uniform-regularity part (ii) of the combined main theorem #
ForcedEnergySupContract: the sup-in-timeL²form of the stream-difference estimate (hypotheses ofSection5.RelativeError.stream_difference_energy);HeatApproxH1Contract:Section5.analytic_approximationwith the extra conjunct that the heat approximant does not increase theH¹seminorm;WeakDifferenceContract: theL²contraction of the difference of two weak solutions with the same divergence-free drift.
Sup-in-time L² bound for θ − θ_M, with the hypotheses of the stream-difference estimate.
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analytic_approximation with the additional H¹ contraction conjunct.
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Two weak solutions with the same bounded divergence-free drift: the L² distance does not
exceed the L² distance of the data, at every time in [0,1].
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