The authors are very glad to see the publication ofThermodynamicEquilibriaand Extrema in English and would like to express their gratitude to everybody who contributed to this end. The book is devoted to the analysis of attainability regions and partial equilibria in physicochemical and other systems. This analysis employs the extreme models ofclassicalequilibriumthermodynamics. Considerationisgiventotheproblemof choosing, from the set of equilibrium states belonging to the attainability regions, that equilibrium corresponding to the extreme values of a property of interest to a researcher....
The authors are very glad to see the publication ofThermodynamicEquilibriaand Extrema in English and would like to express their gratitude to everybod...
By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macroscopic 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 kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions....
By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macrosco...
Alexander N. Gorban Nikolas Kazantzis I. G. Kevrekidis
Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book. All contributions are by experts whose specialities span a wide range of fields within science and engineering.
Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become o...
This volume contains the extended version of selected talks given at the international research workshop "Coping with Complexity: Model Reduction and Data Analysis," Ambleside, UK, August 31 - September 4, 2009. The book is deliberately broad in scope and aims at promoting new ideas and methodological perspectives. The topics of the chapters range from theoretical analysis of complex and multiscale mathematical models to applications in e.g., fluid dynamics and chemical kinetics.
This volume contains the extended version of selected talks given at the international research workshop "Coping with Complexity: Model Reduction and ...
By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macroscopic 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 kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions....
By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macrosco...
Alexander N. Gorban Nikolas Kazantzis I. G. Kevrekidis
Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book. All contributions are by experts whose specialities span a wide range of fields within science and engineering.
Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become o...
This volume contains the extended version of selected talks given at the international research workshop Coping with Complexity: Model Reduction and Data Analysis, Ambleside, UK, August 31 - September 4, 2009. The book is deliberately broad in scope and aims at promoting new ideas and methodological perspectives. The topics of the chapters range from theoretical analysis of complex and multiscale mathematical models to applications in e.g., fluid dynamics and chemical kinetics.
This volume contains the extended version of selected talks given at the international research workshop Coping with Complexity: Model Reduction and D...