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LeanPool.CaffarelliKohnNirenberg.Leray.RegularisedRealHeatStokesLaw

Real heat and Stokes propagation laws #

The real Fourier heat flow composes in time and propagates a real Stokes output by adding elapsed times.

theorem CKN.Leray.realHeatOperator_add (s t : ℝ) (hs : 0 ≤ s) (ht : 0 ≤ t) (b : ↥RealVectorL2) :

Real heat evolution composes across nonnegative adjacent times.

theorem CKN.Leray.realHeatOperator_stokes (s t : ℝ) (hs : 0 ≤ s) (ht : 0 < t) (F : ↥RealTensorL2) :

Real heat evolution of a Stokes output adds the two elapsed times.