Olga A. Ladyzhenskaya

Attractors for Semigroups and Evolution Equations

• Broschiertes Buch

Produktbeschreibung

Olga A. Ladyzhenskaya expands on her 1991 lectures on attractors for semigroups and evolution equations. This edition includes a technical introduction surveying Ladyzhenskaya's work in the field and subsequent developments. It is essential reading for anyone interested in her approach to partial differential equations and dynamical systems.

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Produktdetails

• Cambridge Mathematical Library
• Verlag: Cambridge University Press
• Revised ed
• Seitenzahl: 98
• Erscheinungstermin: 13. Mai 2022
• Englisch
• Abmessung: 229mm x 152mm x 6mm
• Gewicht: 166g
• ISBN-13: 9781009229821
• ISBN-10: 1009229826
• Artikelnr.: 63761002

Autorenporträt

Olga A. Ladyzhenskaya was a prolific Russian mathematician most well known for her work on partial differential equations and fluid mechanics. She authored over 200 hundred research works and became Head of the Mathematical Physics Laboratory of the Steklov Institute in 1961. Her many accolades include giving the Emmy Noether lecture at the International Congress of Mathematicians in 1994; giving the von Neumann lecture, the highest distinction of the Society for Industrial and Applied Mathematics, in 1998; and the Lomonosov Gold Medal, the highest award of the Russian Academy of Sciences, in 2002.

Inhaltsangabe

Part I. Attractors for the Semigroups of Operators: 1. Basic notions
2. Semigroups of class K
3. Semigroups of class AK
4. On dimensions of compact invariant sets
Part II: Semigroups Generated by Evolution Equations: 5. Introduction to Part II
6. Estimates for the number of determining modes and the fractal dimension of bounded invariant sets for the Navier-Stokes equations
7. Evolution equations of hyperbolic type
References
Index.