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2D Shock Formation
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Classroom Contents
Shock Formation and Vorticity Creation for Compressible Euler
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- 1 Intro
- 2 Compressible Euler Equations on Rd
- 3 D Compressible Isentropic Euler
- 4 Shock formation in 1D Burgers
- 5 Stable shock formation for 1D Euler
- 6 Finite-time breakdown of smooth solutions
- 7 D Shock formation, collision, and bounce back
- 8 Shock formation results for Euler in 2D and 3D
- 9 Simple plane wave
- 10 The method of Christodoulou
- 11 Shock formation for Euler with vorticity
- 12 2D Shock Formation
- 13 Azimuthal shocks: a showcase for the new approach
- 14 Specific vorticity evolution
- 15 New Variables for Euler
- 16 Generic shock profile in multiple space dimensions
- 17 Stable shock formation for compressible Euler
- 18 Some geometric difficulties in higher dimensions
- 19 3D compressible Euler: rotation and translation
- 20 Modulated self-similar Riemann-type Variables
- 21 Asymptotically self-similar blowup
- 22 3D Euler in Modulated Self-Similar Variables
- 23 Trajectory estimates are key Toy Model in physical variables
- 24 Some ideas of the proof
