Systems of Quasilinear Equations and Their Applications to Gas Dynamics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821898062
Total Pages : 700 pages
Book Rating : 4.8/5 (98 download)

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Book Synopsis Systems of Quasilinear Equations and Their Applications to Gas Dynamics by : Boris Leonidovich Rozhdestvenski_

Download or read book Systems of Quasilinear Equations and Their Applications to Gas Dynamics written by Boris Leonidovich Rozhdestvenski_ and published by American Mathematical Soc.. This book was released on 1983-12-31 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher :
ISBN 13 :
Total Pages : 676 pages
Book Rating : 4.:/5 (636 download)

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Book Synopsis Systems of Quasilinear Equations and Their Applications to Gas Dynamics by : Boris Leonidovich Rozhdestvenskii

Download or read book Systems of Quasilinear Equations and Their Applications to Gas Dynamics written by Boris Leonidovich Rozhdestvenskii and published by . This book was released on 1980 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Systems of Quasilinear Equations and Their Applications to Gas Dynamics

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Publisher :
ISBN 13 : 9781470444693
Total Pages : 698 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Systems of Quasilinear Equations and Their Applications to Gas Dynamics by : Boris Leonidovich Rozhdestvenskiĭ

Download or read book Systems of Quasilinear Equations and Their Applications to Gas Dynamics written by Boris Leonidovich Rozhdestvenskiĭ and published by . This book was released on 1983 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Energy Methods for Free Boundary Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200911
Total Pages : 338 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Energy Methods for Free Boundary Problems by : S.N. Antontsev

Download or read book Energy Methods for Free Boundary Problems written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.

CRC Handbook of Lie Group Analysis of Differential Equations

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Publisher : CRC Press
ISBN 13 : 9780849344886
Total Pages : 452 pages
Book Rating : 4.3/5 (448 download)

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Book Synopsis CRC Handbook of Lie Group Analysis of Differential Equations by : Nail H. Ibragimov

Download or read book CRC Handbook of Lie Group Analysis of Differential Equations written by Nail H. Ibragimov and published by CRC Press. This book was released on 1993-10-20 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

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Publisher : CRC Press
ISBN 13 : 1000948161
Total Pages : 452 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis CRC Handbook of Lie Group Analysis of Differential Equations, Volume I by : Nail H. Ibragimov

Download or read book CRC Handbook of Lie Group Analysis of Differential Equations, Volume I written by Nail H. Ibragimov and published by CRC Press. This book was released on 2023-08-25 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

Waves And Stability In Continuous Media - Proceedings Of The 11th Conference On Wascom 2001

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Publisher : World Scientific
ISBN 13 : 9814488453
Total Pages : 615 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Waves And Stability In Continuous Media - Proceedings Of The 11th Conference On Wascom 2001 by : Miriam Pandolfi Bianchi

Download or read book Waves And Stability In Continuous Media - Proceedings Of The 11th Conference On Wascom 2001 written by Miriam Pandolfi Bianchi and published by World Scientific. This book was released on 2002-06-19 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: First organized in 1981, the WASCOM conference to bring together researchers and scientists from all over the world to discuss problems, promote collaborations and shape future directions for research in the field of stability and wave propagation in continuous media.This book constitutes the proceedings of the 11th edition of the conference, the first of the third millennium. The main topics are: (1) Linear and nonlinear hyperbolic equations, conservation laws and specific aspects of wave propagation; (2) stability of systems of PDEs, with particular reference to those of fluid and solid mechanics; (3) extended thermodynamics and passage from microscopic to macroscopic description of the medium for systems characterized also by inelastic interactions at the kinetic scale.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Hyperbolic Conservation Laws in Continuum Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642040489
Total Pages : 710 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Hyperbolic Conservation Laws in Continuum Physics by : Constantine M. Dafermos

Download or read book Hyperbolic Conservation Laws in Continuum Physics written by Constantine M. Dafermos and published by Springer Science & Business Media. This book was released on 2009-12-12 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 3rd edition is thoroughly revised, applications are substantially enriched, it includes a new account of the early history of the subject (from 1800 to 1957) and a new chapter recounting the recent solution of open problems of long standing in classical aerodynamics. The bibliography comprises now over fifteen hundred titles. From the reviews: "The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject of conservations laws." --Zentralblatt MATH

Contact Geometry and Nonlinear Differential Equations

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Publisher : Cambridge University Press
ISBN 13 : 0521824761
Total Pages : 472 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Contact Geometry and Nonlinear Differential Equations by : Alexei Kushner

Download or read book Contact Geometry and Nonlinear Differential Equations written by Alexei Kushner and published by Cambridge University Press. This book was released on 2007 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.

Geometry III

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Publisher : Springer Science & Business Media
ISBN 13 : 3662027518
Total Pages : 263 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Geometry III by : Yu.D. Burago

Download or read book Geometry III written by Yu.D. Burago and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces. The main focus is on the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and the influence of properties of intrinsic metrics on the geometry of surfaces.

Nonlinear Waves in Solids

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Publisher : Springer
ISBN 13 : 3709124441
Total Pages : 385 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Nonlinear Waves in Solids by : A. Jeffrey

Download or read book Nonlinear Waves in Solids written by A. Jeffrey and published by Springer. This book was released on 2014-05-04 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nelinejnye Nelokal'nye Uravneniâ V Teorii Voln

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821887691
Total Pages : 312 pages
Book Rating : 4.8/5 (876 download)

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Book Synopsis Nelinejnye Nelokal'nye Uravneniâ V Teorii Voln by : Pavel Ivanovich Naumkin

Download or read book Nelinejnye Nelokal'nye Uravneniâ V Teorii Voln written by Pavel Ivanovich Naumkin and published by American Mathematical Soc.. This book was released on with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401731985
Total Pages : 456 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics by : W.I. Fushchich

Download or read book Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics written by W.I. Fushchich and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: by spin or (spin s = 1/2) field equations is emphasized because their solutions can be used for constructing solutions of other field equations insofar as fields with any spin may be constructed from spin s = 1/2 fields. A brief account of the main ideas of the book is presented in the Introduction. The book is largely based on the authors' works [55-109, 176-189, 13-16, 7*-14*,23*, 24*] carried out in the Institute of Mathematics, Academy of Sciences of the Ukraine. References to other sources is not intended to imply completeness. As a rule, only those works used directly are cited. The authors wish to express their gratitude to Academician Yu.A. Mitropoi sky, and to Academician of Academy of Sciences of the Ukraine O.S. Parasyuk, for basic support and stimulation over the course of many years; to our cowork ers in the Department of Applied Studies, LA. Egorchenko, R.Z. Zhdanov, A.G. Nikitin, LV. Revenko, V.L Lagno, and I.M. Tsifra for assistance with the manuscript.

Innovative Algorithms and Analysis

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Publisher : Springer
ISBN 13 : 3319492624
Total Pages : 362 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Innovative Algorithms and Analysis by : Laurent Gosse

Download or read book Innovative Algorithms and Analysis written by Laurent Gosse and published by Springer. This book was released on 2016-05-26 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

连续介质物理中的双曲守恒律(天元基金影印系列丛书)

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Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302102038
Total Pages : 466 pages
Book Rating : 4.1/5 (2 download)

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Book Synopsis 连续介质物理中的双曲守恒律(天元基金影印系列丛书) by : C. M. Dafermos

Download or read book 连续介质物理中的双曲守恒律(天元基金影印系列丛书) written by C. M. Dafermos and published by 清华大学出版社有限公司. This book was released on 2005 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9781556080050
Total Pages : 620 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1988 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 1489937919
Total Pages : 932 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: