Titlebook: Invariant Manifolds for Physical and Chemical Kinetics; Alexander Gorban,Ilya Karlin Book 2005 Springer-Verlag Berlin Heidelberg 2005 Inva

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DRILL

Film Extension of the Dynamics: Slowness as Stability,et a dynamical system be defined in some metric space (so that we can measure distances between points), and let .) be a motion of this system at time . with the initial condition .(0)=. at time .=0. The subset . of the phase space is called . if it is made of whole trajectories, that is, if .∈ . then .(.)∈ . for all . ∈ (-∞,∞).

冰河期

Entropy, Quasiequilibrium, and Projectors Field,each iteration step towards the limit strongly depends on the choice of the projector. Moreover, if we want each approximate solution to be consistent with such physically crucial conditions as the second law of thermodynamics (the entropy of the isolated systems increases), then the choice of the projector becomes practically unique.

Awning

,Hydrodynamics From Grad’s Equations: What Can We Learn From Exact Solutions?,proximations in extending the hydrodynamic description beyond the Navier-Stokes approximation. Various techniques, such as the method of partial summation, Pade’ approximants, and invariance principle are compared both in linear and nonlinear situations.

modifier

Book 2005c description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kine

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DEAF

Introduction,ts of our study are dissipative dynamic systems (finite or infinite) which arise in various problems of kinetics. Some of the results and methods presented herein may have a more general applicability, and can be useful not only for dissipative systems but also, for example, for conservative systems.

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