Shock Formation and Vorticity Creation for Compressible Euler

Shock Formation and Vorticity Creation for Compressible Euler

Society for Industrial and Applied Mathematics via YouTube Direct link

Modulated self-similar Riemann-type Variables

20 of 24

20 of 24

Modulated self-similar Riemann-type Variables

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Shock Formation and Vorticity Creation for Compressible Euler

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

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