Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid

L. Miguel Rodrigues

Annales de l'I.H.P. Analyse non linéaire (2009)

  • Volume: 26, Issue: 2, page 625-648
  • ISSN: 0294-1449

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Rodrigues, L. Miguel. "Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid." Annales de l'I.H.P. Analyse non linéaire 26.2 (2009): 625-648. <http://eudml.org/doc/78858>.

@article{Rodrigues2009,
author = {Rodrigues, L. Miguel},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Navier-Stokes equations; weak inhomogeneity; self-similar variables; localized perturbations},
language = {eng},
number = {2},
pages = {625-648},
publisher = {Elsevier},
title = {Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid},
url = {http://eudml.org/doc/78858},
volume = {26},
year = {2009},
}

TY - JOUR
AU - Rodrigues, L. Miguel
TI - Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2009
PB - Elsevier
VL - 26
IS - 2
SP - 625
EP - 648
LA - eng
KW - Navier-Stokes equations; weak inhomogeneity; self-similar variables; localized perturbations
UR - http://eudml.org/doc/78858
ER -

References

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  5. [5] Gallagher I., Gallay T., Uniqueness for the two-dimensional Navier–Stokes equation with a measure as initial vorticity, Math. Ann.332 (2) (2005) 287-327. Zbl1096.35102MR2178064
  6. [6] Gallagher I., Gallay T., Lions P.-L., On the uniqueness of the solution of the two-dimensional Navier–Stokes equation with a Dirac mass as initial vorticity, Math. Nachr.278 (14) (2005) 1665-1672. Zbl1083.35092MR2176270
  7. [7] Gallay T., Wayne C.E., Invariant manifolds and the long-time asymptotics of the Navier–Stokes and vorticity equations on R 2 , Arch. Ration. Mech. Anal.163 (3) (2002) 209-258. Zbl1042.37058MR1912106
  8. [8] Gallay T., Wayne C.E., Global stability of vortex solutions of the two-dimensional Navier–Stokes equation, Commun. Math. Phys.255 (1) (2005) 97-129. Zbl1139.35084MR2123378
  9. [9] Kato T., Ponce G., Commutator estimates and the Euler and Navier–Stokes equations, Commun. Pure Appl. Math.41 (7) (1988) 891-907. Zbl0671.35066MR951744
  10. [10] Lemarié-Rieusset P.G., Recent Developments in the Navier–Stokes Problem, Chapman & Hall/CRC Research Notes in Mathematics, vol. 431, Chapman & Hall/CRC, Boca Raton, FL, 2002. Zbl1034.35093MR1938147
  11. [11] Leray J., Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math.63 (1) (1934) 193-248. MR1555394JFM60.0726.05
  12. [12] Lions P.-L., Mathematical Topics in Fluid Mechanics. Vol. 1. Incompressible Models, Oxford Lecture Series in Mathematics and its Applications, vol. 3, The Clarendon Press, Oxford University Press, New York, 1996, Oxford Science Publications. Zbl0866.76002MR1422251
  13. [13] Stein E.M., Singular Integrals and Differentiability Properties of Functions, Princeton Mathematical Series, vol. 30, Princeton University Press, Princeton, NJ, 1970. Zbl0207.13501MR290095

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