OAI/MathematicalPhysics/NavierStokes/ForcedComputation/Detector/ExpandingMassCutoff.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

A smooth concentration cutoff with one fixed finite integer bound on its Laplacian. The bound is proved from compact support. It can be baked into a finite force program and does not depend on a machine or viscosity.

  1. def OAI.ForcedComputation.ExpandingDetector.massCutoff line 15
  2. theorem OAI.ForcedComputation.ExpandingDetector.massCutoff_smooth line 17
  3. theorem OAI.ForcedComputation.ExpandingDetector.massCutoff_compactSupport line 19
  4. theorem OAI.ForcedComputation.ExpandingDetector.massCutoff_range line 22
  5. theorem OAI.ForcedComputation.ExpandingDetector.massCutoff_support line 24
  6. theorem OAI.ForcedComputation.ExpandingDetector.massCutoff_one_near line 28
  7. theorem OAI.ForcedComputation.ExpandingDetector.scalarLaplacian_compactSupport line 35
  8. theorem OAI.ForcedComputation.ExpandingDetector.scalarLaplacian_smooth line 46
  9. theorem OAI.ForcedComputation.ExpandingDetector.massCutoff_laplacian_bound line 51