OAI/MathematicalPhysics/NavierStokes/ShearFlows/Profiles.lean

GitHub source file

30 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.ShearFlows.smoothRamp line 10
  2. theorem OAI.ShearFlows.smoothRamp_smooth line 12
  3. theorem OAI.ShearFlows.smoothRamp_range line 15
  4. theorem OAI.ShearFlows.smoothRamp_monotone line 18
  5. theorem OAI.ShearFlows.smoothRamp_before line 23
  6. theorem OAI.ShearFlows.smoothRamp_after line 28
  7. def OAI.ShearFlows.smoothPulse line 34
  8. theorem OAI.ShearFlows.smoothPulse_smooth line 36
  9. theorem OAI.ShearFlows.smoothPulse_nonneg line 39
  10. theorem OAI.ShearFlows.smoothPulse_before line 42
  11. theorem OAI.ShearFlows.smoothPulse_after line 50
  12. theorem OAI.ShearFlows.smoothPulse_integral line 58
  13. def OAI.ShearFlows.closedCutoff line 67
  14. theorem OAI.ShearFlows.closedCutoff_smooth line 70
  15. theorem OAI.ShearFlows.closedCutoff_range line 73
  16. theorem OAI.ShearFlows.closedCutoff_plateau line 78
  17. theorem OAI.ShearFlows.closedCutoff_before line 84
  18. theorem OAI.ShearFlows.closedCutoff_after line 88
  19. theorem OAI.ShearFlows.closedCutoff_compactSupport line 92
  20. def OAI.ShearFlows.derivativeMask line 101
  21. theorem OAI.ShearFlows.derivativeMask_smooth line 104
  22. theorem OAI.ShearFlows.derivativeMask_compactSupport line 109
  23. theorem OAI.ShearFlows.derivativeMask_plateau line 113
  24. theorem OAI.ShearFlows.derivativeMask_integral_zero line 121
  25. def OAI.ShearFlows.stageStart line 132
  26. def OAI.ShearFlows.stageFinish line 134
  27. theorem OAI.ShearFlows.stage_intervals line 136
  28. theorem OAI.ShearFlows.stage_ordered line 140
  29. def OAI.ShearFlows.standardSchedule line 146
  30. theorem OAI.ShearFlows.standardPulses_separated line 158