Local well-posedness for the incompressible Euler equations in the critical Besov spaces

Yong Zhou[1]

  • [1] Chinese University of Hong Kong, Institute of Mathematical Sciences and Department of Mathematics, Shatin, N.T. (Hong Kong), Xiamen University, Xiamen, Fujian (Chine)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 3, page 773-786
  • ISSN: 0373-0956

Abstract

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In this paper we establish the existence and uniqueness of the local solutions to the incompressible Euler equations in ℝ N , N ≥ 3 , with any given initial data belonging to the critical Besov spaces B p , 1 N / p + 1 . Moreover, a blowup criterion is given in terms of the vorticity field.

How to cite

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Zhou, Yong. "Local well-posedness for the incompressible Euler equations in the critical Besov spaces." Annales de l’institut Fourier 54.3 (2004): 773-786. <http://eudml.org/doc/116126>.

@article{Zhou2004,
abstract = {In this paper we establish the existence and uniqueness of the local solutions to the incompressible Euler equations in $\mathbb \{R\}$$^N$, $N \ge 3$, with any given initial data belonging to the critical Besov spaces $B_\{p,1\}^\{N/p+1\}$. Moreover, a blowup criterion is given in terms of the vorticity field.},
affiliation = {Chinese University of Hong Kong, Institute of Mathematical Sciences and Department of Mathematics, Shatin, N.T. (Hong Kong), Xiamen University, Xiamen, Fujian (Chine)},
author = {Zhou, Yong},
journal = {Annales de l’institut Fourier},
keywords = {well-posedness; Euler equations; Besov spaces},
language = {eng},
number = {3},
pages = {773-786},
publisher = {Association des Annales de l'Institut Fourier},
title = {Local well-posedness for the incompressible Euler equations in the critical Besov spaces},
url = {http://eudml.org/doc/116126},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Zhou, Yong
TI - Local well-posedness for the incompressible Euler equations in the critical Besov spaces
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 3
SP - 773
EP - 786
AB - In this paper we establish the existence and uniqueness of the local solutions to the incompressible Euler equations in $\mathbb {R}$$^N$, $N \ge 3$, with any given initial data belonging to the critical Besov spaces $B_{p,1}^{N/p+1}$. Moreover, a blowup criterion is given in terms of the vorticity field.
LA - eng
KW - well-posedness; Euler equations; Besov spaces
UR - http://eudml.org/doc/116126
ER -

References

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