Blow Up of Incompressible Euler Solutions

  title={Blow Up of Incompressible Euler Solutions},
  author={Johan Hoffman and Claes Johnson},
We present analytical and computational evidence of blowup of initially smooth solutions of the incompressible Euler equations into non-smooth turbulent solutions. We detect blowup by observing increasing L2-residuals of computed solutions under decreasing mesh size. AMS subject classification (2000): 35Q30, 65M60. 1 The Clay Navier-Stokes Millennium Problem The Clay Mathematics Institute Millennium Problem on the incompressible Navier-Stokes equations formulated by Fefferman [7] asks for a… CONTINUE READING
4 Citations
15 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 15 references

and C

  • J. Hoffma
  • Johnson, Computational Thermodynamics, Springer,
  • 2008
Highly Influential
11 Excerpts

Sur les problmes aux dérivées partielles et leur signification physique

  • Jacques Hadamard
  • Princeton University Bulletin,
  • 1902
Highly Influential
5 Excerpts

Remarks on the breakdown of smooth solutions of the Euler equations, Commun

  • J. T. Beale, T. Kato, A. Majda
  • Math. Phys. 94,
  • 1984
Highly Influential
2 Excerpts

On the Euler Equations of Incompressible Fluids

  • Peter Constantin
  • Bull. Amer. math. Soc
  • 2007
3 Excerpts

Geometric properties and the non-blowup of the three-dimensional Euler equation

  • J. Deng, T. Y. Hou, X. Yu
  • Comm. PDEs,
  • 2005
3 Excerpts

Dynmaics of Viscous Compressible Fluids

  • Eduard Feireisl
  • 2004
1 Excerpt

and J

  • P. Moi
  • Kim, Tackling turbulence by supercomputers…
  • 1997
2 Excerpts

Similar Papers

Loading similar papers…