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Systems Of Quasilinear Equations And Their Applications To Gas Dynamics


Systems Of Quasilinear Equations And Their Applications To Gas Dynamics
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Systems Of Quasilinear Equations And Their Applications To Gas Dynamics


Systems Of Quasilinear Equations And Their Applications To Gas Dynamics
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Author : Boris Leonidovich Rozhdestvenski_
language : en
Publisher: American Mathematical Soc.
Release Date : 1983-12-31

Systems Of Quasilinear Equations And Their Applications To Gas Dynamics written by Boris Leonidovich Rozhdestvenski_ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-12-31 with Science categories.


This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.



Systems Of Quasilinear Equations And Their Applications To Gas Dynamics


Systems Of Quasilinear Equations And Their Applications To Gas Dynamics
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Author : Boris Leonidovich Rozhdestvenskii
language : en
Publisher:
Release Date : 1980

Systems Of Quasilinear Equations And Their Applications To Gas Dynamics written by Boris Leonidovich Rozhdestvenskii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Differential equations, Nonlinear categories.




Systems Of Quasilinear Equations And Their Applications To Gas Dynamics


Systems Of Quasilinear Equations And Their Applications To Gas Dynamics
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Author : Boris Leonidovich Rozhdestvenskiĭ
language : en
Publisher:
Release Date : 1983

Systems Of Quasilinear Equations And Their Applications To Gas Dynamics written by Boris Leonidovich Rozhdestvenskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Differential equations, Partial categories.


This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ""Nauka."" It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.



Nonlinear Functional Analysis And Its Applications


Nonlinear Functional Analysis And Its Applications
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Author : S.P. Singh
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Functional Analysis And Its Applications written by S.P. Singh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


A NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, 1985. This volume consists of the Proceedings of the Institute. These Proceedings include the invited lectures and contributed papers given during the Institute. The papers have been refereed. The aim of these lectures was to bring together recent and up-to-date development of the subject, and to give directions for future research. The main topics covered include: degree and generalized degree theory, results related to Hamiltonian Systems, Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations, Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory, Hamiltonian Systems, Minimax Theory, Heat Equations, Pendulum Equation, Nonlinear Boundary Value Problems, and Dirichlet and Neumann problems for elliptic equations and the periodic Dirichlet problem for semilinear beam equations. I express my sincere thanks to Professors F. E. Browder, R. Conti, A. Do1d, D. E. Edmunds and J. Mawhin members of the Advisory Committee.



Geometry Iii


Geometry Iii
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Author : Yu.D. Burago
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Geometry Iii written by Yu.D. Burago and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.


The original version of this article was written more than fiveyears ago with S. Z. Shefel',a profound and original mathematician who died in 1984. Sincethen the geometry of surfaces has continued to be enriched with ideas and results. This has required changes and additions, but has not influenced the character of the article, the design ofwhich originated with Shefel'. Without knowing to what extent Shefel' would have approved the changes, I should nevertheless like to dedicate this article to his memory. (Yu. D. Burago) We are trying to state the qualitative questions of the theory of surfaces in Euclidean spaces in the form in which they appear to the authors at present. This description does not entirely correspond to the historical development of the subject. The theory of surfaces was developed in the first place mainly as the 3 theory of surfaces in three-dimensional Euclidean space E ; however, it makes sense to begin by considering surfaces F in Euclidean spaces of any dimension n~ 3. This approach enables us, in particular, to put in a new light some 3 unsolved problems of this developed (and in the case of surfaces in E fairly complete) theory, and in many cases to refer to the connections with the present stage ofdevelopment of the theory of multidimensional submanifolds. The leading question of the article is the problem of the connection between classes of metrics and classes of surfaces in En.



Contact Geometry And Nonlinear Differential Equations


Contact Geometry And Nonlinear Differential Equations
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Author : Alexei Kushner
language : en
Publisher: Cambridge University Press
Release Date : 2007

Contact Geometry And Nonlinear Differential Equations written by Alexei Kushner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.



Encyclopaedia Of Mathematics


Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.



Nonlinear Waves In Solids


Nonlinear Waves In Solids
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Author : A. Jeffrey
language : en
Publisher: Springer
Release Date : 2014-05-04

Nonlinear Waves In Solids written by A. Jeffrey and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.


Travelling wave processes and wave motion are of great importance in many areas of mechanics, and nonlinearity also plays a decisive role there. The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects. Apart from plasticity and fracture mechanics, nonlinear elastic waves have been shown to be of great importance in many areas, such as the study of impact, nondestructive testing and seismology. These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and in the process offer an up to date account of the current state of research in the theory and practice of nonlinear waves in solids.



Innovative Algorithms And Analysis


Innovative Algorithms And Analysis
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Author : Laurent Gosse
language : en
Publisher: Springer
Release Date : 2016-05-26

Innovative Algorithms And Analysis written by Laurent Gosse and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-26 with Mathematics categories.


This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed: 1. Lagrangian discretizations and wavefront tracking for synchronization models; 2. Astrophysics computations and post-Newtonian approximations; 3. Hyperbolic balance laws and corrugated isometric embeddings; 4. “Caseology” techniques for kinetic equations; 5. Tentative computations of compressible non-standard solutions; 6. Entropy dissipation, convergence rates and inverse design issues. Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the “state of the art” in certain fields. The book offers a unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references.



Nelinejnye Nelokal Nye Uravneni V Teorii Voln


Nelinejnye Nelokal Nye Uravneni V Teorii Voln
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Author : Pavel Ivanovich Naumkin
language : en
Publisher: American Mathematical Soc.
Release Date :

Nelinejnye Nelokal Nye Uravneni V Teorii Voln written by Pavel Ivanovich Naumkin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.


This book is the first to concentrate on the theory of nonlinear nonlocal equations. The authors solve a number of problems concerning the asymptotic behavior of solutions of nonlinear evolution equations, the blow-up of solutions, and the global in time existence of solutions. In addition, a new classification of nonlinear nonlocal equations is introduced. A large class of these equations is treated by a single method, the main features of which are apriori estimates in different integral norms and use of the Fourier transform. This book will interest specialists in partial differential equations, as well as physicists and engineers.