OAI/MathematicalPhysics/NavierStokes/ForcedComputation/Scalar/PlaneBarrier.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

A quadratic barrier for bounded whole-plane drift. It supplies strict comparison without requiring compact support of the diffusing scalar.

  1. def OAI.ForcedComputation.VelocityDetector.planeBarrierSquare line 14
  2. theorem OAI.ForcedComputation.VelocityDetector.planeBarrierSquare_smooth line 16
  3. theorem OAI.ForcedComputation.VelocityDetector.planeBarrierSquare_one_le line 20
  4. theorem OAI.ForcedComputation.VelocityDetector.planeBarrierSquare_fderiv line 24
  5. theorem OAI.ForcedComputation.VelocityDetector.planeBarrierSquare_spatialD line 32
  6. theorem OAI.ForcedComputation.VelocityDetector.planeBarrierSquare_laplacian line 38
  7. theorem OAI.ForcedComputation.VelocityDetector.planeBarrierSquare_generator line 46
  8. theorem OAI.ForcedComputation.VelocityDetector.planeBarrierSquare_generator_bound line 52
  9. theorem OAI.ForcedComputation.VelocityDetector.spatialD_const_mul line 72
  10. theorem OAI.ForcedComputation.VelocityDetector.scalarGenerator_const_mul line 79
  11. theorem OAI.ForcedComputation.VelocityDetector.quadratic_barrier_positive_compact line 89