OAI/MathematicalPhysics/NavierStokes/ForcedComputation/Programs/ForceMean.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The mean of the full startup force

For a periodic incompressible field, the convective acceleration is the divergence of its momentum flux, and therefore has zero spatial mean. This is the additional term needed in the autonomous construction; a shear-only force identity would not suffice.

  1. theorem OAI.ForcedComputation.advection_mean_zero line 21
  2. theorem OAI.ForcedComputation.ramp_force_mean_zero line 44
  3. theorem OAI.ForcedComputation.startup_force_mean_zero line 67