On the L 2 -instability of fluid flows

Alexander Shnirelman

Séminaire Équations aux dérivées partielles (1999-2000)

  • Volume: 1999-2000, page 1-11

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Shnirelman, Alexander. "On the $L^2$-instability of fluid flows." Séminaire Équations aux dérivées partielles 1999-2000 (1999-2000): 1-11. <http://eudml.org/doc/10986>.

@article{Shnirelman1999-2000,
author = {Shnirelman, Alexander},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {incompressible Euler equations; parallel flow},
language = {eng},
pages = {1-11},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {On the $L^2$-instability of fluid flows},
url = {http://eudml.org/doc/10986},
volume = {1999-2000},
year = {1999-2000},
}

TY - JOUR
AU - Shnirelman, Alexander
TI - On the $L^2$-instability of fluid flows
JO - Séminaire Équations aux dérivées partielles
PY - 1999-2000
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1999-2000
SP - 1
EP - 11
LA - eng
KW - incompressible Euler equations; parallel flow
UR - http://eudml.org/doc/10986
ER -

References

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  1. V. Arnold, Mathematical methods of classical mechanics, Springer-Verlag, New York, 1989. Zbl0386.70001MR997295
  2. V. Arnold, Sur la Géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits, Ann. Inst. Fourier 16 (1966), 316-361. Zbl0148.45301
  3. V. Arnold, B. Khesin, Topological methods in hydrodynamics, Applied Mathematical Sciences, v. 125, Springer-verlag, 1998. Zbl0902.76001MR1612569
  4. Y. Brenier, The least action principle and the related concept of generalized flows for incompressible perfect fluids, J. Amer. Math. Soc. 2 (1989), no. 2, 225-255. Zbl0697.76030MR969419
  5. C. Marchioro, M. Pulvirenti, Mathematical theory of incompressible nonviscous fluids, Applied Mathematical Sciences, v. 96, Springer-Verlag, 1994. Zbl0789.76002MR1245492
  6. A. Shnirelman, The geometry of the group of diffeomorphisms and the dynamics of an ideal incompressible fluid, Math. USSR Sbornik 56 (1987), no. 1, 79-105. Zbl0725.58005

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