Upper and lower estimates for the dimension of attractors of partial differential evolution equations

DOI10.1007/BF00969591zbMath0576.35056OpenAlexW1987835713MaRDI QIDQ1065271

Mark I. Vishik, Anatoli V. Babin

Publication date: 1983

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969591

zbMATH Keywords

attractorsHausdorff dimensionsemilinear parabolic equationattractornonlinear semigroupequationsNavier-Stokescompact maximalequations of chemical kineticsupper and lower bounds of the dimension

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Navier-Stokes equations (35Q30) Dimension theory in general topology (54F45)

Related Items (1)

Attractors of periodic processes and estimates of their dimension

Cites Work

• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Invariant manifolds of nonlinear operators
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
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