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9783319229027

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In this monograph, the author presents the general theory and applications of the dynamics of infinite-dimensional quasi-stable dissipative systems. ... The book is very well written, and the presentation is clear and rigorous. This monograph will be useful to researchers and graduate students interested in infinite-dimensional dissipative dynamical systems. (Rodica Luca, Mathematical Reviews, April, 2016)

This monograph brings together several important and interesting models of infinite dimensional dimensional evolutionary equations, studied from the long-term dynamics and stability point of view, from abstract parabolic problems, such as 2D hydrodynamical systems and Hopf's models of turbulence, to second order evolution equations and delay equations. All the models are presented with clear and rigorous mathematical theory, which is beautifully developed along two chapters. ... This work is indeed a `must have' for mathematicians studying PDE models. (Matheus Cheque Bortolan, zbMATH 1362.37001, 2017) In this monograph, the author presents the general theory and applications of the dynamics of infinite-dimensional quasi-stable dissipative systems. ... The book is very well written, and the presentation is clear and rigorous. This monograph will be useful to researchers and graduate students interested in infinite-dimensional dissipative dynamical systems. (Rodica Luca, Mathematical Reviews, April, 2016)

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Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.

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