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References

Published online by Cambridge University Press:  19 May 2022

Olga A. Ladyzhenskaya
Foreword by
Gregory A. Seregin ,
Varga K. Kalantarov  and
Sergey V. Zelik
Gregory A. Seregin
Affiliation:
Steklov Institute of Mathematics, St Petersburg and University of Oxford
Varga K. Kalantarov
Affiliation:
Koç University, Istanbul
Sergey V. Zelik
Affiliation:
University of Surrey
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Chapter
Information
Attractors for Semigroups and Evolution Equations , pp. 66 - 67
Publisher: Cambridge University Press
Print publication year: 2022

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References

Ladyzhenskaya, O. On the dynamical system generated by the Navier–Stokes equations. Zapiski nauchnykh seminarov LOMI. Leningrad. 27 (1972) 91–114 (English translation in J. of Soviet Math. 3 4 (1975))Google Scholar
Mallet-Paret, J. Negatively invariant sets of compact maps and an extension of a theorem of Cartwright. J. Diff. Eq. 22 (1976) 331–48Google Scholar
Douady, A., & Oesterlé, J. Dimension de Hausdorff des attracteurs. C. R. Acad. Sc. 290 (1980) 1135–38Google Scholar
Foias, C., & Temam, R. Some analytic and geometric properties of the solutions of the Navier–Stokes equations. J. Math. Pures Appl. 58, fasc.3 (1979) 339–68Google Scholar
Il’ashenko, U. S. Weak contractive systems and attractors for Galerkin’s approximations of the Navier–Stokes equations. Uspechi Math. Nauk. 36, 3 (1981) 243–4Google Scholar
Ladyzhenskaya, O. On finite dimensionality of bounded invariant sets for the Navier–Stokes equations and some other dissipative systems. Zapiski nauchnykh seminarov LOMI 115 (1982) 137–155Google Scholar
Babin, A. V., Vishik, M. I. Attractors for the Navier–Stokes system and parabolic equations and an estimation of its dimension. Zapiski nauchnykh seminarov LOMI 115 (1982) 3–15Google Scholar
Il’ashenko, U. S. On the dimension of attractors for k-contractive systems in an infinite-dimensional space. Vestnik MGU. ser. math, and mech. 3 (1983)Google Scholar
Constantin, P., Foias, C., & Temam, R. Attractors representing turbulent flows. American Mathematical Society, (1985).Google Scholar
Ghidaglia, J. M., & Temam, R. Attractors for damped nonlinear hyperbolic eqiatons. J. Math. Pures Appl. 66, 3 (1987) 273–319.Google Scholar
Ladyzhenskaya, O. On estimates of the fractal dimension and the number of determining modes for invariant sets of dynamical systems. Zapiskii nauchnich seminarovs LOMI 163 (1987) 105–29Google Scholar
Ladyzhenskaya, O. On finding the minimal global attractors for the Navier–Stokes equations and other PDE. Uspechi Math. Nauk. 42, n. 6 (1987) 25–60Google Scholar
Hale, J. K. Theory of functional-differential equations. Springer-verlag, Berlin– Heidelberg–New York, (1977)Google Scholar
Henry, D. Geometric theory of semi-linear parabolic equations. Springer-Verlag, Berlin–Heidelberg–New York, (1981)Google Scholar
Ladyzhenskaya, O., Solonnikov, V., & Uralcéva, N. Linear and quasilinear equations of parabolic type. M., Nauka (1967)Google Scholar
Ladyzhenskaya, O., & Uralcéva, N. Survey of results on solvability of boundary value problems for uniformly elliptic and parabolic quasilinear equations of second order with unbounded singularities. Uspechi Math. Nauk. 41, n. 5 (1986) 59–83Google Scholar

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