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

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8 declarations, 0 contain sorry, 0 declared as axioms

All orders of heat regularity on the closed initial half-cylinder.

  1. theorem OAI.ForcedComputation.VelocityDetector.heatDataLaplacian_smooth line 16
  2. theorem OAI.ForcedComputation.VelocityDetector.heatDataLaplacian_periodic line 20
  3. def OAI.ForcedComputation.VelocityDetector.torusHeatDerivative line 28

    Source documentation

    The joint derivative, expressed entirely by evolutions of smooth initial data.

    def torusHeatDerivative (g : Plane → ℝ) (p : ℝ × Plane) : (ℝ × Plane) →L[ℝ] ℝ :=
…
  4. theorem OAI.ForcedComputation.VelocityDetector.torusHeatDerivative_apply line 33
  5. theorem OAI.ForcedComputation.VelocityDetector.torusHeatEvolution_fderiv_positive line 45
  6. theorem OAI.ForcedComputation.VelocityDetector.torusHeatDerivative_continuousOn line 76
  7. theorem OAI.ForcedComputation.VelocityDetector.torusHeatEvolution_hasFDerivWithinAt line 86
  8. theorem OAI.ForcedComputation.VelocityDetector.torusHeatEvolution_contDiffOn line 113