Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains

Jens Frehse; Michael Růžička

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)

  • Volume: 23, Issue: 4, page 701-719
  • ISSN: 0391-173X

How to cite

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Frehse, Jens, and Růžička, Michael. "Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.4 (1996): 701-719. <http://eudml.org/doc/84246>.

@article{Frehse1996,
author = {Frehse, Jens, Růžička, Michael},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {duality method; dimensional reduction; steady Navier-Stokes equations},
language = {eng},
number = {4},
pages = {701-719},
publisher = {Scuola normale superiore},
title = {Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains},
url = {http://eudml.org/doc/84246},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Frehse, Jens
AU - Růžička, Michael
TI - Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 4
SP - 701
EP - 719
LA - eng
KW - duality method; dimensional reduction; steady Navier-Stokes equations
UR - http://eudml.org/doc/84246
ER -

References

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  1. [1] E. De Giorgi, Una estensione del teorema di Bernstein, Ann. Scuola Norm. Sup. Pisa Cl. Sci.19 (1965), 79-85. Zbl0168.09802MR178385
  2. [2] J. Frehse - M. Růžička, On the Regularity of the Stationary Navier-Stokes Equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci.21 (1994), 63-95. Zbl0823.35141MR1276763
  3. [3] J. Frehse - M. RůžIčKA, Weighted Estimates for the Stationary Navier-Stokes Equations, Acta Appl. Math.37 (1994), 53-66. Zbl0814.35094MR1308745
  4. [4] J. Frehse - M. RůžIčKA, Existence of Regular Solutions to the Stationary Navier-Stokes Equations, Math. Ann.302 (1995), 699-717. Zbl0861.35074MR1343646
  5. [5] J. Frehse - M. RůžIčKA, Regularity for the Stationary Navier-Stokes Equations in Bounded Domains, Ach. Rat. Mech. Anal.128 (1994), 361-381. Zbl0832.35108MR1308859
  6. [6] J. Frehse - M. Růžička, Regular Solutions to the Steady Navier-Stokes Equations, pp. 131-139, Navier-Stokes Equations and Related Non-Linear Problems (ed. A. Sequeira), 1995. Zbl0843.35072MR1373209
  7. [7] M. Giaquinta, Introduction to Regularity Theory for Nonlinear Elliptic Systems, Birldräuser, Base, 1993., Zbl0786.35001MR1239172
  8. [8] C.B. Morrey, Multiple Integrals in the Calculus of Variations, Springer, New York, 1966. Zbl0142.38701MR202511
  9. [9] M. Růžička - J. Frehse, Regularity for Steady Solutions of the Navier-Stokes Equations, (to appear), Proceedings Oberwolfach1994. Zbl0934.35118MR1643033
  10. [10] M. Struwe, Regular Solutions of the Stationary Navier-Stokes equations on R5, Math. Ann. 302 (1995), 719-741. Zbl0861.35075MR1343647

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