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Ideal Incompressible Fluids
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Classroom Contents
Voigt Boussinesq Equations - Global Regularity and Fluid Dynamics
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- 1 Ideal Incompressible Fluids
- 2 Analogies with the 3D incompressible Euler equations
- 3 Local existence, uniqueness, extension
- 4 The SQG example
- 5 Beyond local existence, BKM
- 6 Leray approximations: the example of SQG
- 7 The 2D Boussinesq system
- 8 The Blow up problem
- 9 Voigt approximations
- 10 2D Voigt Boussinesq Equations
- 11 Main Result: Global Regularity
- 12 Limit of Vanishing Regularization
- 13 Fractional Voigt Boussinesq
- 14 Ideas of Proof: local existence
- 15 Basic Energy Structure
- 16 Ideas of proof: global existence for 1
- 17 Ideas of proof: BKM
- 18 Ideas of Proof: global regularity
- 19 Ideas of Proof: Boussinesq limit, continued
