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Dynamics of viscous compressible fluids / par Feireisl,, Eduard. Publication : [S.l.] : Oxford University Press, USA, 2004 . 224 p. ; , The book develops the most recent ideas and concepts of the mathematical theory of viscous, compressible and heat conducting fluids. Two main goals are pursued: (I) global existence theory within the framework of variational (weak) solutions for the full system of the Navier-Stokes equations supplemented with large data; and (II) optimal existence results for the barotropic flows with respect to the available a priori estimates. The book is intended to be a compact and self-contained presentation of the most recent results of the mathematical theory of viscous compressible fluids. In order to place the text in better perspective, each chapter is concluded with a section devoted to historical notes including references to all-important and new results. The material is by no means intended to be the last word on the subject but rather to include possible directions of future research. It is aimed at research mathematicians, theoretical physicists, engineers and graduate students. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Mathematical theory of entropy par Martin, Nathaniel F. G. Publication : Cambridge Cambridge University Press 2010 . pages cm. , Originally published: 1981. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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P-adic deterministic and random dynamics / par Khrennikov,, Andrei Y. Publication : [S.l.] : Springer, 2004 . 270 p. ; , This is the first monograph in the theory of p-adic (and more general non-Archimedean) dynamical systems. The theory of such systems is a new intensively developing discipline on the boundary between the theory of dynamical systems, theoretical physics, number theory, algebraic geometry and non-Archimedean analysis. Investigations on p-adic dynamical systems are motivated by physical applications (p-adic string theory, p-adic quantum mechanics and field theory, spin glasses) as well as natural inclination of mathematicians to generalize any theory as much as possible (e.g., to consider dynamics not only in the fields of real and complex numbers, but also in the fields of p-adic numbers). The main part of the book is devoted to discrete dynamical systems: cyclic behavior (especially when p goes to infinity), ergodicity, fuzzy cycles, dynamics in algebraic extensions, conjugate maps, small denominators. There are also studied p-adic random dynamical system, especially Markovian behavior (depending on p). In 1997 one of the authors proposed to apply p-adic dynamical systems for modeling of cognitive processes. In applications to cognitive science the crucial role is played not by the algebraic structure of fields of p-adic numbers, but by their tree-like hierarchical structures. In this book there is presented a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. There are also studied p-adic neural network and their applications to cognitive sciences: learning algorithms, memory recalling. Finally, there are considered wavelets on general ultrametric spaces, developed corresponding calculus of pseudo-differential operators and considered cognitive applications. Audience: This book will be of interest to mathematicians working in the theory of dynamical systems, number theory, algebraic geometry, non-Archimedean analysis as well as general functional analysis, theory of pseudo-differential operators; physicists working in string theory, quantum mechanics, field theory, spin glasses; psychologists and other scientists working in cognitive sciences and even mathematically oriented philosophers. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Wave propagation in layered anisotropic media : with applications to composites / par Nayfeh, Adnan H. Publication : . 1 online resource (xiii, 332 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444890184,

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Alternative mathematical theory of non-equilibrium phenomena / par Straub, Dieter, Publication : . 1 online resource (xiv, 377 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780126730159,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=196,

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Boundary value problems in mechanics of nonhomogeneous fluids / par Antont︠s︡ev, S. N. Publication : . 1 online resource (xii, 309 pages) , Translation of: Kraevye zadachi mekhaniki neodnorodnykh zhidkosteĭ. Disponibilité :  http://www.sciencedirect.com/science/book/9780444883827,  http://www.sciencedirect.com/science/publication?issn=01682024&volume=22,

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Functional Analysis in Mechanics par Lebedev, Leonid P. Publication : . X, 310 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-5868-5,

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Stochastic Tools in Mathematics and Science par Chorin, Alexandre J. Publication : . XI, 200 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-6980-3,

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Mathematical and Computational Analyses of Cracking Formation Fracture Morphology and Its Evolution in Engineering Materials and Structures / par Sumi, Yoichi. Publication : . XII, 282 p. 168 illus., 12 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-4-431-54935-2,

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