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Author: Torsten Carleman
Publisher:
ISBN:
Category : Kinetic theory of gases
Languages : fr
Pages : 112
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Book Description
Author: Torsten Carleman
Publisher:
ISBN:
Category : Kinetic theory of gases
Languages : fr
Pages : 112
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Book Description
Author: M. Malecot
Publisher:
ISBN:
Category :
Languages : fr
Pages : 134
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Book Description
APPROXIMATION ET RESOLUTION NUMERIQUE PAR LA METHODE DES PAS FRACTIONNAIRES DE MODELES DISCRETS DE THEORIE CINETIQUE DES GAZ.
Author: Robert T. Glassey
Publisher: SIAM
ISBN: 9781611971477
Category : Science
Languages : en
Pages : 254
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Book Description
This volume studies the basic equations of kinetic theory in all of space. It contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although these equations describe very different phenomena, they share the same streaming term. The author proves that solutions starting from a given configuration at an initial time exist for all future times by imposing appropriate hypotheses on the initial values in several important cases. He emphasizes those questions that a mathematician would ask first: Is there a solution to this problem? Is it unique? Can it be numerically approximated? The topics treated include the study of the Boltzmann collision operator, the study of the initial-value problem for the Boltzmann equation with "small" and "near equilibrium" data, global smooth solvability of the initial-value problem for the Vlasov-Poisson system with smooth initial data of unrestricted size, conditions under which the initial-value problem for the Vlasov-Maxwell system has global-in-time solutions (in both the smooth and weak senses), and more.
Author: Martine Malecot
Publisher:
ISBN:
Category :
Languages : fr
Pages : 274
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Book Description
APPROXIMATION ET RESOLUTION NUMERIQUE PAR LA METHODE DES PAS FRACTIONNAIRES DE MODELES DISCRETS DE THEORIE CINETIQUE DES GAZ.
Author: Nicola Bellomo
Publisher: World Scientific
ISBN: 9814500844
Category : Science
Languages : en
Pages : 273
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Book Description
This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.
Author: Nicola Bellomo
Publisher: World Scientific
ISBN: 9814507482
Category : Mathematics
Languages : en
Pages : 245
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Book Description
This book has the aim of dealing with the Nonlinear evolution problems related to the spatially dependent Boltzmann and Enskog equations.
Author: Andrea Donato
Publisher: Springer Science & Business Media
ISBN: 3322878716
Category : Technology & Engineering
Languages : en
Pages : 623
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Book Description
Author: C. Cercignani
Publisher: Springer Science & Business Media
ISBN: 1489972919
Category : Mathematics
Languages : en
Pages : 262
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Book Description
Author: Carlo Cercignani
Publisher: Springer Science & Business Media
ISBN: 1441985247
Category : Science
Languages : en
Pages : 357
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Book Description
The idea for this book was conceived by the authors some time in 1988, and a first outline of the manuscript was drawn up during a summer school on mathematical physics held in Ravello in September 1988, where all three of us were present as lecturers or organizers. The project was in some sense inherited from our friend Marvin Shinbrot, who had planned a book about recent progress for the Boltzmann equation, but, due to his untimely death in 1987, never got to do it. When we drew up the first outline, we could not anticipate how long the actual writing would stretch out. Our ambitions were high: We wanted to cover the modern mathematical theory of the Boltzmann equation, with rigorous proofs, in a complete and readable volume. As the years progressed, we withdrew to some degree from this first ambition- there was just too much material, too scattered, sometimes incomplete, sometimes not rigor ous enough. However, in the writing process itself, the need for the book became ever more apparent. The last twenty years have seen an amazing number of significant results in the field, many of them published in incom plete form, sometimes in obscure places, and sometimes without technical details. We made it our objective to collect these results, classify them, and present them as best we could. The choice of topics remains, of course, subjective.
Author: Roberto Monaco
Publisher: World Scientific
ISBN: 981320141X
Category :
Languages : en
Pages : 432
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Book Description
The proceedings will concentrate, with the aim of presenting the most recent results, on the relevant problems in the mathematics and physics of the discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics. In particular the following three fields will be covered: (i) Mathematical models and applications in discrete kinetic theory; (ii) Lattice gas in two and three dimensions; (iii) Hydrodynamic limit and foundations of fluidodynamics.
