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

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8 declarations, 0 contain sorry, 0 declared as axioms

The weak maximum principle on the two-torus, proved on a compact fundamental square. No parabolic existence theorem is used in this argument.

  1. def OAI.ForcedComputation.VelocityDetector.unitRepresentative line 13
  2. theorem OAI.ForcedComputation.VelocityDetector.unitRepresentative_mem line 15
  3. theorem OAI.ForcedComputation.VelocityDetector.periodic_unitRepresentative line 19
  4. theorem OAI.ForcedComputation.VelocityDetector.periodic_cylinder_max line 27
  5. theorem OAI.ForcedComputation.VelocityDetector.spatialD_sub_const line 42
  6. theorem OAI.ForcedComputation.VelocityDetector.scalarGenerator_sub_const line 47
  7. theorem OAI.ForcedComputation.VelocityDetector.timeDerivative_nonneg_at_max line 52
  8. theorem OAI.ForcedComputation.VelocityDetector.scalar_maximum_principle line 63