The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations
Bulletin de la Société Mathématique de France (1999)
- Volume: 127, Issue: 4, page 473-517
- ISSN: 0037-9484
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topIftimie, Dragoş. "The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations." Bulletin de la Société Mathématique de France 127.4 (1999): 473-517. <http://eudml.org/doc/87816>.
@article{Iftimie1999,
author = {Iftimie, Dragoş},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Navier-Stokes equations; asymptotic study; existence; uniqueness},
language = {eng},
number = {4},
pages = {473-517},
publisher = {Société mathématique de France},
title = {The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations},
url = {http://eudml.org/doc/87816},
volume = {127},
year = {1999},
}
TY - JOUR
AU - Iftimie, Dragoş
TI - The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations
JO - Bulletin de la Société Mathématique de France
PY - 1999
PB - Société mathématique de France
VL - 127
IS - 4
SP - 473
EP - 517
LA - eng
KW - Navier-Stokes equations; asymptotic study; existence; uniqueness
UR - http://eudml.org/doc/87816
ER -
References
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- [8] MOISE (I.), TEMAM (R.), ZIANE (M.). — Asymptotic analysis of the Navier-Stokes equations in thin domains, Topol. Methods Nonlinear Anal., t. 10, n° 2, 1997, p. 249-282. Zbl0957.35108MR99h:35166
- [9] PONCE (G.), RACKE (R.), SIDERIS (T.C.), TITI (E.S.). — Global stability of large solutions to the 3D Navier-Stokes equations, Comm. Math. Phys., t. 159, n° 2, 1994, p. 329-341. Zbl0795.35082MR95a:35115
- [10] RAUGEL (G.), SELL (G.R.). — Navier-Stokes equations on thin 3D domains, I. Global attractors and global regularity of solutions, J. Amer. Math. Soc., t. 6, n° 3, 1993, p. 503-568. Zbl0787.34039MR93j:35134
- [11] RAUGEL (G.), SELL (G.R.). — Navier-Stokes equations on thin 3D domains, II. Global regularity of spatially periodic solutions, Nonlinear partial differential equations and their applications. — Collège de France Seminar, Vol. XI, Longman Sci. Tech., Harlow, 1994, p. 205-247. Zbl0804.35106MR95c:35196
- [12] TEMAM (R.), ZIANE (M.). — Navier-Stokes equations in three-dimensional thin domains with various boundary conditions, Adv. Diff. Equations, t. 1, n° 4, 1996, p. 499-546. Zbl0864.35083MR97h:35183
- [13] TEMAM (R.), ZIANE (M.). — Navier-Stokes equations in thin spherical domains, Optimization methods in partial differential equations (South Hadley, MA, 1996). — Amer. Math. Soc., Providence, RI, 1997, p. 281-314. Zbl0891.35119MR98h:35194
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