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

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11 declarations, 0 contain sorry, 0 declared as axioms

Strong L2 time differentiability of the whole-plane scalar solution. The derivative is the actual advection-diffusion right-hand side.

  1. def OAI.ForcedComputation.VelocityDetector.planeTimeDerivative line 14
  2. theorem OAI.ForcedComputation.VelocityDetector.PlaneScalarSolution.cylinder_generator line 18
  3. theorem OAI.ForcedComputation.VelocityDetector.scalarLaplacian_smooth line 42
  4. theorem OAI.ForcedComputation.VelocityDetector.PlaneScalarSolution.timeDerivative_slice_continuous line 46
  5. theorem OAI.ForcedComputation.VelocityDetector.continuousOn_time_slice line 60
  6. theorem OAI.ForcedComputation.VelocityDetector.PlaneScalarSolution.timeDerivative_time_continuous line 67
  7. theorem OAI.ForcedComputation.VelocityDetector.scalarGenerator_tail_bound line 75
  8. theorem OAI.ForcedComputation.VelocityDetector.PlaneScalarSolution.time_derivative_envelope line 112
  9. theorem OAI.ForcedComputation.VelocityDetector.PlaneScalarSolution.strong_time_derivative line 132
  10. theorem OAI.ForcedComputation.VelocityDetector.PlaneScalarSolution.time_derivative_square_continuity line 151
  11. theorem OAI.ForcedComputation.VelocityDetector.PlaneScalarSolution.strong_time_regularity line 168