Introduction to the theory of infinite-dimensional dissipative systems (Q2782594)

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scientific article; zbMATH DE number 1724857
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Introduction to the theory of infinite-dimensional dissipative systems
scientific article; zbMATH DE number 1724857

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    7 April 2002
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    dissipative dynamical system
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    attractor
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    stability
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    invariant set
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    reduction principle
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    semilinear parabolic equation
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    Lyapunov function
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    nonlinear diffusion
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    model of turbulence
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    fluid
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    inertial manifold
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    nonlinear oscillations
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    supersonic gas
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    Introduction to the theory of infinite-dimensional dissipative systems (English)
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    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.
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