OAI/MathematicalPhysics/Boltzmann/Collision/VelocityCutoffEntropyError.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Uniform integrability of the linear velocity moment from entropy and energy

  1. def OAI.BoltzmannNonuniqueness.PeriodicApproximation.linearMoment line 19
  2. def OAI.BoltzmannNonuniqueness.PeriodicApproximation.velocityLinearCut line 21
  3. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.linearMoment_measurable line 24
  4. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.velocityLinearCut_measurable line 27
  5. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.linearMoment_integrable line 31
  6. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.velocityLinearCut_error line 44
  7. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.velocityLinearCut_integrable line 60
  8. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.velocityLinearCut_L1_error line 72
  9. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.linearMoment_uniformIntegrable line 88
  10. theorem OAI.BoltzmannNonuniqueness.CollisionCompactness.DoubleGain.exists_velocity_mollifier line 128
  11. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.linearMoment_marginal_uniformIntegrable line 155
  12. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.velocityCutoff_error_le line 210
  13. theorem OAI.BoltzmannNonuniqueness.PeriodicApproximation.velocityCutoff_L1_bound line 229