Some globally stable approximations for the Navier-Stokes equations and for some other equations of viscous incompressible fluids

Olga Ladyzhenskaya

Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992)

  • page 1-9

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Ladyzhenskaya, Olga. "Some globally stable approximations for the Navier-Stokes equations and for some other equations of viscous incompressible fluids." Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992): 1-9. <http://eudml.org/doc/112049>.

@article{Ladyzhenskaya1991-1992,
author = {Ladyzhenskaya, Olga},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {magnetohydrodynamics; Galerkin-Faedo approximations; minimal global - attractor; initial-boundary value problem; thermo-convection},
language = {eng},
pages = {1-9},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Some globally stable approximations for the Navier-Stokes equations and for some other equations of viscous incompressible fluids},
url = {http://eudml.org/doc/112049},
year = {1991-1992},
}

TY - JOUR
AU - Ladyzhenskaya, Olga
TI - Some globally stable approximations for the Navier-Stokes equations and for some other equations of viscous incompressible fluids
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1991-1992
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 9
LA - eng
KW - magnetohydrodynamics; Galerkin-Faedo approximations; minimal global - attractor; initial-boundary value problem; thermo-convection
UR - http://eudml.org/doc/112049
ER -

References

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  1. [1] O. Ladyzhenskaya, On the dynamical system generated by the Navier-Stokes equations, Zapiskii of Nauchnich, Seminarov LOMI, Leningrad, 27, 1972, pp.91-114. Zbl0327.35064
  2. [2] O. Ladyzhenskaya, On finding the minimal global attractors for the Navier-Stokes equations and other PDE, Uspechi Math. Nauk, 42, n° 6, 1987, pp.25-60. Zbl0687.35072MR933994
  3. [3] O. Ladyzhenskaya, Attractors for semi-groups and evolution equations, Lezioni Lincee, Cambridge University Press, 1991. Zbl0755.47049MR1133627
  4. [4] O. Ladyzhenskaya, Mathematical problems of viscous incompressible fluids, M. Fiz. Math. Giz, 1961; the second russian edition, M. Nauka, 1970. 
  5. [5] O. Ladyzhenskaya, On the property of instant smoothing of solutions to the Navier-Stokes equations and their approximations in the domains with non smooth boundaries. Lecture at Colloque "Analyse algébrique des perturbations singulières"21-26, October 1991, Luminy, France. Zbl0845.35082
  6. [6] O. Ladyzhenskaya, First boundary value problem for the Navier-Stokes equations in domains with non smooth boundaries, C.R. Acad. Sci., Paris, Zbl0744.35034
  7. [7] A.A. Kiselev, On nonstationary flows of viscous incompressible fluid in the presence of external forces, Doklady Akad. Nauk S.S.S.R., 100, n° 5, 1955, pp 871-874. Zbl0065.18404MR69656
  8. [8] A. Kzivitzkii and O. Ladyzhenskaya, Method of finite differences for the nonstationary Navier-Stokes equations, Trudy MIAN, 92, 1966, pp 93-99. 
  9. [9] O. Ladyzhenskaya, On some nonlinear problems of the Theory of continuous mediums, Proceedings of Mathematical International Congress (Moscow1966), M., 1968, pp 560-573. Zbl0194.41701
  10. [10] O. Ladyzhenskaya, On modifications of the Navier-Stokes equations for large gradients of velocity, Zapiskii Nauchnich seminarov LOMI, Leningrad, 7, 1968, pp 126-154. Zbl0195.10602MR241832

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