zbMATH — the first resource for mathematics

Introduction to the theory of infinite-dimensional dissipative systems. (Vvedenie v teoriyu beskonechnomernykh dissipativnykh sistem.) (Russian) Zbl 1100.37046
Universitetskie Lektsii po Sovremennoj Matematike. Khar’kov: AKTA (ISBN 966-7021-23-8/hbk). 436 p. (1999).
This textbook gives a systematic introduction to the main ideas, methods and problems of the mathematical theory of infinite-dimensional dissipative dynamical systems. The main attention is paid to systems generated by nonlinear partial differential equations arising in the modern mechanics. For the inspection of the table of contents see the review below to the English edition.

37Lxx Infinite-dimensional dissipative dynamical systems
37-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
70G60 Dynamical systems methods for problems in mechanics
35Q99 Partial differential equations of mathematical physics and other areas of application
74K20 Plates
74H99 Dynamical problems in solid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
82D05 Statistical mechanical studies of gases