Kinetic Formulation of Conservation Laws PDF Download
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Author: B. Perthame
Publisher: Oxford University Press
ISBN: 9780198509134
Category : Language Arts & Disciplines
Languages : en
Pages : 212
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Book Description
Written by a well-known expert in the field, the focus of this book is on an innovative mathematical and numerical theory which applies to classical models of physics such as shock waves and balance laws. The text is based on early works in common with P.L. Lions (field medalist).
Author: B. Perthame
Publisher: Oxford University Press
ISBN: 9780198509134
Category : Language Arts & Disciplines
Languages : en
Pages : 212
Get Book Here
Book Description
Written by a well-known expert in the field, the focus of this book is on an innovative mathematical and numerical theory which applies to classical models of physics such as shock waves and balance laws. The text is based on early works in common with P.L. Lions (field medalist).
Author: Seok Hwang
Publisher:
ISBN:
Category :
Languages : en
Pages : 76
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Book Description
Author: Sebastian Noelle
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
Author: Ling Hsiao
Publisher: American Mathematical Soc.
ISBN: 0821819658
Category : Mathematics
Languages : en
Pages : 260
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Book Description
This volume resulted from a year-long program at the Morningside Center of Mathematics at the Academia Sinica in Beijing. It presents an overview of nonlinear conversation laws and introduces developments in this expanding field. Zhouping Xin's introductory overview of the subject is followed by lecture notes of leading experts who have made fundamental contributions to this field of research. A. Bressan's theory of $-well-posedness for entropy weak solutions to systems of nonlinear hyperbolic conversation laws in the class of viscosity solutions is one of the most important results in the past two decades; G. Chen discusses weak convergence methods and various applications to many problems; P. Degond details mathematical modelling of semi-conductor devices; B. Perthame describes the theory of asymptotic equivalence between conservation laws and singular kinetic equations; Z. Xin outlines the recent development of the vanishing viscosity problem and nonlinear stability of elementary wave-a major focus of research in the last decade; and the volume concludes with Y. Zheng's lecture on incompressible fluid dynamics. This collection of lectures represents previously unpublished expository and research results of experts in nonlinear conservation laws and is an excellent reference for researchers and advanced graduate students in the areas of nonlinear partial differential equations and nonlinear analysis. Titles in this series are co-published with International Press, Cambridge, MA.
Author: Institute for Computer Applications in Science and Engineering
Publisher:
ISBN:
Category :
Languages : en
Pages : 28
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Book Description
Author: Damián H. Zanette
Publisher:
ISBN:
Category :
Languages : en
Pages : 6
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Book Description
Author: Benjamin Crowell
Publisher: Light and Matter
ISBN: 0970467028
Category : Science
Languages : en
Pages : 170
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Book Description
Author: Luigi Ambrosio
Publisher: Springer Science & Business Media
ISBN: 3540767819
Category : Mathematics
Languages : en
Pages : 141
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Book Description
The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements. This volume provides an up-to-date overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws. The captivating volume contains surveys of recent deep results and provides an overview of further developments and related open problems. Readers should have basic knowledge of PDE and measure theory.
Author: Heinrich Freistuhler
Publisher: CRC Press
ISBN: 9780849306440
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Systems of partial differential equations reflecting conservation laws hold significant relevance to a variety of theoretical and practical applications, including compressible fluid flow, electromagnetism, elasticity theory, and other areas of continuum mechanics. This field of nonlinear analysis is currently experiencing a marked increase in successful research activity. The EU-TMR network "Hyperbolic Systems of Conservation Laws held a summer program offering short courses on the Analysis of Systems of Conservation Laws. This book contains five of the self-contained short courses presented during this program by experts of international reputation. These courses, which address solutions to hyperbolic systems by the front tracking method, non-strictly hyperbolic conservation laws, hyperbolic-elliptic coupled systems, hyperbolic relaxation problems, the stability of nonlinear waves in viscous media and numerics, and more, represent the state of the art of most central aspects of the field.
Author: Edwige Godlewski
Publisher: Springer Nature
ISBN: 1071613448
Category : Mathematics
Languages : en
Pages : 846
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Book Description
This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.
