{"product_id":"invariant-manifolds-for-physical-and-chemical-kinetics-hardcover","title":"Invariant Manifolds for Physical and Chemical Kinetics - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eAlexander N. Gorban\u003c\/b\u003e (Author), \u003cb\u003eIliya V. Karlin\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eBy 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. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eBy 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. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAlexander N. Gorban: Full Professor in Modeling \u0026amp; Simulation\u003cbr\u003ePhD in Physics \u0026amp; Math (Differential Equations \u0026amp; Math. Physics), 1980, Thesis: \"Slow Relaxations and Bifurcations of Omega-Limit Sets of Dynamical Systems\";\u003cbr\u003eDr Sc in Physics \u0026amp; Math (Biophysics), 1990, Thesis: \"Extremal Principles and a priori Estimations in Biological and Formal Kinetics.\u003cbr\u003eAffiliation: \u003cbr\u003eHead of Nonequilibrium Systems Laboratory (1989 - present) and Deputy Director (1995 - present), Institute of Computational Modeling, Russian Academy of Sciences, Russia;\u003cbr\u003eElected Chair of Applied Mathematics, University of Leicester, UK (2004).\u003cbr\u003ePart-time: \u003cbr\u003eInstitute of Polymers, Polymer Physics, Swiss Federal Institute of technology (ETH), Zurich, Switzerland (2003 - present); Head of Neurocomputers Chair, Krasnoyarsk State Technical University, Russia (1993 - present).\u003cbr\u003eVisiting: \u003cbr\u003eClay Mathematics Institute (Cambridge, USA), 03.2000-08.2000;\u003cbr\u003eNortheastern University (Boston, USA), 03.2000-05.2000;\u003cbr\u003eCourant Mathematics Institute (New York, USA), 04.2000; \u003cbr\u003eInstitut des Hautes Etudes Scientiques (IHES, Paris, France), 10.2000-12.2000, 07.2001-08.2001,11.2002-12-2002, 09.2003;\u003cbr\u003eScientific advisor of 22 PhD thesis and 3 Dr. Sc.\u003cbr\u003ePublications: 14 monographs, 4 patents, over 200 papers. \u003cbr\u003eSome of current research projects\u003cbr\u003eConstructive Methods of Invariant Manifolds for Kinetic Problems (1989-present);\u003cbr\u003eCluster structure of Genome (2000-present);\u003cbr\u003eMolecular Individualism: Theory, computational models, applications (2003-present). \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eIliya Karlin obtained the doctral degree in physics in 1992 for his thesis \"Methods of invariant manifolds in physical kinetics\". During 1995-1997 he was the Humbold Fellow at the University of Ulm. He was visiting professor at the University of Rome during 1997-1998. At present he is affiliated as a senior scientist at the Swiss Federal institute of Technology (ETH), and as a senior researcher at the Institute of Computational Modeling of Russian Academy of Sciences. He authors about 100 papers on kinetic theory, polymer dynamics, chemical kinetics and computational fluid dynamics. His current research projects include constructive methods of invariant manifolds, theory of polymer dynamics and turbulence modeling. \u003cp\u003e\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 496\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.13 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 01, 2005\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":53377891729715,"sku":"9783540226840","price":185.18,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/fVq-RugO0q9783540226840.webp?v=1779330360","url":"https:\/\/www.vysn.com\/products\/invariant-manifolds-for-physical-and-chemical-kinetics-hardcover","provider":"VYSN","version":"1.0","type":"link"}