OAI/MathematicalPhysics/NavierStokes/ForcedComputation/Flow/PlanarDerivativeBounds.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

Uniform, explicitly computed bounds for both spatial derivatives of the planar field. The extra coordinate in the autonomous suspension does not increase the norm when a planar displacement is included.

  1. def OAI.ForcedComputation.horizontalLinear line 15
  2. def OAI.ForcedComputation.planeSpaceTimeInclusion line 18
  3. theorem OAI.ForcedComputation.planeSpaceTimeInclusion_norm line 21
  4. theorem OAI.ForcedComputation.planarSlice_fderiv line 26
  5. def OAI.ForcedComputation.planarSecondBound line 45
  6. theorem OAI.ForcedComputation.planarSlice_fderiv_lipschitz line 48
  7. theorem OAI.ForcedComputation.planarSlice_second_fderiv_bound line 74
  8. def OAI.ForcedComputation.planarVariationCoefficient line 79
  9. theorem OAI.ForcedComputation.planarVariationCoefficient_pos line 82
  10. theorem OAI.ForcedComputation.planar_derivative_bounds line 87