On blow-up of solution for Euler equations

Eric Behr; Jindřich Nečas; Hongyou Wu

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 2, page 229-238
  • ISSN: 0764-583X

Abstract

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We present numerical evidence for the blow-up of solution for the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved.

How to cite

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Behr, Eric, Nečas, Jindřich, and Wu, Hongyou. "On blow-up of solution for Euler equations." ESAIM: Mathematical Modelling and Numerical Analysis 35.2 (2010): 229-238. <http://eudml.org/doc/197488>.

@article{Behr2010,
abstract = { We present numerical evidence for the blow-up of solution for the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved. },
author = {Behr, Eric, Nečas, Jindřich, Wu, Hongyou},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Euler equations; blow-up of solution.; blow-up of solution; approximate solutions; Taylor polynomials},
language = {eng},
month = {3},
number = {2},
pages = {229-238},
publisher = {EDP Sciences},
title = {On blow-up of solution for Euler equations},
url = {http://eudml.org/doc/197488},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Behr, Eric
AU - Nečas, Jindřich
AU - Wu, Hongyou
TI - On blow-up of solution for Euler equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 2
SP - 229
EP - 238
AB - We present numerical evidence for the blow-up of solution for the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved.
LA - eng
KW - Euler equations; blow-up of solution.; blow-up of solution; approximate solutions; Taylor polynomials
UR - http://eudml.org/doc/197488
ER -

References

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  11. J. Necas, M. Růzicka and V. Sverák, Sur une remarque de J. Leray concernant la construction de solutions singulières des équations de Navier-Stokes. C. R. Acad. Sci. Paris Sér. I Math.323 (1996) 245-249.  
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