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Zapiski Nauchnykh Seminarov LOMI, 1972, Volume 27, Pages 91–115 (Mi znsl2501)  

This article is cited in 30 scientific papers (total in 32 papers)

On a dynamical system generated by Navier–Stokes equations

O. A. Ladyzhenskaya
Bibliographic databases:
Language: Russian
Citation: O. A. Ladyzhenskaya, “On a dynamical system generated by Navier–Stokes equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 6, Zap. Nauchn. Sem. LOMI, 27, "Nauka", Leningrad. Otdel., Leningrad, 1972, 91–115
Citation in format AMSBIB
\Bibitem{Lad72}
\by O.~A.~Ladyzhenskaya
\paper On a~dynamical system generated by Navier--Stokes equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~6
\serial Zap. Nauchn. Sem. LOMI
\yr 1972
\vol 27
\pages 91--115
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2501}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=328378}
\zmath{https://zbmath.org/?q=an:0327.35064}
Linking options:
  • https://www.mathnet.ru/eng/znsl2501
  • https://www.mathnet.ru/eng/znsl/v27/p91
  • This publication is cited in the following 32 articles:
    1. G. Mulone, “Nonlinear monotone H1 stability of plane Poiseuille and Couette flows of a Navier–Stokes–Voigt fluid of order zero”, Algebra i analiz, 36:3 (2024), 152–164  mathnet
    2. Russian Math. Surveys, 78:4 (2023), 635–777  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. V. G. Zvyagin, M. V. Kaznacheev, “Attraktory dlya avtonomnoi modeli dvizheniya nelineino-vyazkoi zhidkosti”, Materialy Voronezhskoi vesennei matematicheskoi shkoly «Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya–XXX». Voronezh, 3–9 maya 2019 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 191, VINITI RAN, M., 2021, 74–91  mathnet  crossref
    4. N. M. Evstigneev, N. A. Magnitskii, “Numerical analysis of laminar–turbulent transition by methods of chaotic dynamics”, Dokl. Math., 101:2 (2020), 110–114  mathnet  crossref  crossref  zmath  elib
    5. V. G. Zvyagin, S. K. Kondrat'ev, “Attractors of equations of non-Newtonian fluid dynamics”, Russian Math. Surveys, 69:5 (2014), 845–913  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. P. O. Kas'yanov, “Multivalued Dynamics of Solutions of Autonomous Operator Differential Equations with Pseudomonotone Nonlinearity”, Math. Notes, 92:2 (2012), 205–218  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    7. M. I. Vishik, V. V. Chepyzhov, “Trajectory attractors of equations of mathematical physics”, Russian Math. Surveys, 66:4 (2011), 637–731  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    8. J. Math. Sci. (N. Y.), 158:6 (2009), 787–808  mathnet  crossref  elib
    9. A. A. Kornev, “A Method of Graph Transformation Type for Numerical Simulation of Invariant Manifolds”, Proc. Steklov Inst. Math., 256 (2007), 223–237  mathnet  crossref  mathscinet  zmath  elib  elib
    10. A. V. Romanov, “Effective finite parametrization in phase spaces of parabolic equations”, Izv. Math., 70:5 (2006), 1015–1029  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    11. G. A. Seregin, N. N. Ural'tseva, “Ol'ga Aleksandrovna Ladyzhenskaya (on her 80th birthday)”, Russian Math. Surveys, 58:2 (2003), 395–425  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    12. Dymnikov V.P., Gritsoun A.S., “Chaotic attractors of atmospheric models”, Russian J Numer Anal Math Modelling, 17:3 (2002), 249–281  zmath  isi
    13. A. V. Romanov, “Finite-dimensional dynamics on attractors of non-linear parabolic equations”, Izv. Math., 65:5 (2001), 977–1001  mathnet  crossref  crossref  mathscinet  zmath
    14. A. A. Kornev, “Approximation of attractors of semidynamical systems”, Sb. Math., 192:10 (2001), 1435–1450  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    15. Malek J., “Global analysis for the fluids of a power-law type”, Differential Equations and Nonlinear Mechanics, Mathematics and its Applications, 528, 2001, 213–233  zmath  isi
    16. A. V. Romanov, “Finite-dimensional limiting dynamics for dissipative parabolic equations”, Sb. Math., 191:3 (2000), 415–429  mathnet  crossref  crossref  mathscinet  zmath  isi
    17. Kornev A.A., “On a conditions criterion for the attractor of a semi-dynamic systems with a parameter”, Dokl Akad Nauk, 369:5 (1999), 597–599  mathnet  mathnet  zmath  isi
    18. O. A. Ladyzhenskaya, G. A. Seregin, “Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors”, Izv. Math., 62:1 (1998), 55–113  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    19. I. D. Chueshov, “Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems”, Russian Math. Surveys, 53:4 (1998), 731–776  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    20. I. D. Chueshov, “A remark on sets of determining elements for reaction-diffusion systems”, Math. Notes, 63:5 (1998), 679–687  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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