The motion of the free surface of a liquid

Hans Lindblad[1]

  • [1] University of California at San Diego

Séminaire Équations aux dérivées partielles (2000-2001)

  • Volume: 2000-2001, page 1-8

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Lindblad, Hans. "The motion of the free surface of a liquid." Séminaire Équations aux dérivées partielles 2000-2001 (2000-2001): 1-8. <http://eudml.org/doc/11025>.

@article{Lindblad2000-2001,
affiliation = {University of California at San Diego},
author = {Lindblad, Hans},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {Euler equation; perfect incompressible; fluid; free boundary; energy estimates; tangential derivatives; linearization},
language = {eng},
pages = {1-8},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {The motion of the free surface of a liquid},
url = {http://eudml.org/doc/11025},
volume = {2000-2001},
year = {2000-2001},
}

TY - JOUR
AU - Lindblad, Hans
TI - The motion of the free surface of a liquid
JO - Séminaire Équations aux dérivées partielles
PY - 2000-2001
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2000-2001
SP - 1
EP - 8
LA - eng
KW - Euler equation; perfect incompressible; fluid; free boundary; energy estimates; tangential derivatives; linearization
UR - http://eudml.org/doc/11025
ER -

References

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  1. M.S. Baouendi, C. Gouaouic, Remarks on the abstract form of nonlinear Cauchy-Kovalevsky theorems, Comm. Part. Diff. Eq. 2 (1977), 1151-1162 Zbl0391.35006MR481322
  2. D. Christodoulou, Self-Gravitating Relativistic Fluids: A Two-Phase Model, Arch. Rational Mech. Anal. 2 (1995), 343-400 Zbl0841.76097MR1346362
  3. D. Christodoulou, Oral Communication, (August 95) 
  4. D. Christodoulou, S. Klainerman, The Nonlineear Stability of the Minkowski space-time, (1993), Princeton Univ. Press Zbl0827.53055MR1316662
  5. D. Christodoulou, H. Lindblad, On the motion of the free surface of a liquid., Comm. Pure Appl. Math. 53 (2000), 1536-1602 Zbl1031.35116MR1780703
  6. D. Ebin, The equations of motion of a perfect fluid with free boundary are not well posed., Comm. Part. Diff. Eq. 10 (1987), 1175-1201 Zbl0631.76018MR886344
  7. D. Ebin, Oral communication, (November 1997) 
  8. H. Lindblad, Well posedness for the linearized motion of the free surface of a liquid, preprint (Jan 2001) Zbl1063.35523
  9. H. Lindblad, Well posedness for the motion of the free surface of a liquid, in preparation Zbl1038.35073
  10. V.I. Nalimov, The Cauchy-Poisson Problem (in Russian), Dynamika Splosh. Sredy 18 (1974), 104-210 MR609882
  11. T. Nishida, A note on a theorem of Nirenberg, J. Diff. Geometry 12 (1977), 629-633 Zbl0368.35007MR512931
  12. S. Wu, Well-posedness in Sobolev spaces of the full water wave problem in 2-D, Invent. Math. 130 (1997), 39-72 Zbl0892.76009MR1471885
  13. S. Wu, Well-posedness in Sobolev spaces of the full water wave problem in 3-D, J. Amer. Math. Soc. 12 (1999), 445-495 Zbl0921.76017MR1641609
  14. H. Yosihara, Gravity Waves on the Free Surface of an Incompressible Perfect Fluid, 18 (1982), 49-96 Zbl0493.76018MR660822

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