Voigt Boussinesq Equations - Global Regularity and Fluid Dynamics
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Overview
Syllabus
Ideal Incompressible Fluids
Analogies with the 3D incompressible Euler equations
Local existence, uniqueness, extension
The SQG example
Beyond local existence, BKM
Leray approximations: the example of SQG
The 2D Boussinesq system
The Blow up problem
Voigt approximations
2D Voigt Boussinesq Equations
Main Result: Global Regularity
Limit of Vanishing Regularization
Fractional Voigt Boussinesq
Ideas of Proof: local existence
Basic Energy Structure
Ideas of proof: global existence for 1
Ideas of proof: BKM
Ideas of Proof: global regularity
Ideas of Proof: Boussinesq limit, continued
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