Author: Hassane Bougrini
Publisher: Nova Publishers
ISBN: 9781560728788
Category : Mathematics
Languages : en
Pages : 122
Book Description
The main purpose of this book is to give a self-contained synthesis of different results in the domain of symbolic calculus of conormal singularities of semilinear hyperbolic progressing waves. The authors deal generally with real matrix valued co-efficients and with real vector valued solutions, but the complex case is similar. They consider also N x N first order systems rather than high order scalar equations, because the polarisation properties of symbols are less natural in the latter case. Moreover, although they assume generally that the real characteristics are simple, the methods can give results for symmetric or symmetrisable first order hyperbolic systems.
Symbolic Calculus Semilinear Hyperbolic Progressing Waves
Author: Hassane Bougrini
Publisher: Nova Publishers
ISBN: 9781560728788
Category : Mathematics
Languages : en
Pages : 122
Book Description
The main purpose of this book is to give a self-contained synthesis of different results in the domain of symbolic calculus of conormal singularities of semilinear hyperbolic progressing waves. The authors deal generally with real matrix valued co-efficients and with real vector valued solutions, but the complex case is similar. They consider also N x N first order systems rather than high order scalar equations, because the polarisation properties of symbols are less natural in the latter case. Moreover, although they assume generally that the real characteristics are simple, the methods can give results for symmetric or symmetrisable first order hyperbolic systems.
Publisher: Nova Publishers
ISBN: 9781560728788
Category : Mathematics
Languages : en
Pages : 122
Book Description
The main purpose of this book is to give a self-contained synthesis of different results in the domain of symbolic calculus of conormal singularities of semilinear hyperbolic progressing waves. The authors deal generally with real matrix valued co-efficients and with real vector valued solutions, but the complex case is similar. They consider also N x N first order systems rather than high order scalar equations, because the polarisation properties of symbols are less natural in the latter case. Moreover, although they assume generally that the real characteristics are simple, the methods can give results for symmetric or symmetrisable first order hyperbolic systems.
Mathematical Reviews
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1770
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1770
Book Description
American Book Publishing Record
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 1714
Book Description
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 1714
Book Description
Propagation, Interaction and Reflection of Discontinuous Progressing Waves for Semilinear Hyperbolic Systems
Author: Guy Métivier
Publisher:
ISBN:
Category :
Languages : en
Pages : 132
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 132
Book Description
Semi-Linear Hyperbolic Problems in Bounded Domains
Author: Alain Haraux
Publisher: CRC Press
ISBN: 9783718604609
Category : Mathematics
Languages : en
Pages : 316
Book Description
The opening chapter provides background information on the basic functional setting, semi-groups and the abstract wave equation, almost periodicity and the wave equation, and technical tools. Succeeding chapters cover the initial value problem, asymptotics in autonomous cases, non-resonance in the purely dissipative case, stability of periodic and almost-periodic solutions, oscillation properties in the conservative case, and global properties of the full equation. Includes bibliographic references and indexes by author and subject.
Publisher: CRC Press
ISBN: 9783718604609
Category : Mathematics
Languages : en
Pages : 316
Book Description
The opening chapter provides background information on the basic functional setting, semi-groups and the abstract wave equation, almost periodicity and the wave equation, and technical tools. Succeeding chapters cover the initial value problem, asymptotics in autonomous cases, non-resonance in the purely dissipative case, stability of periodic and almost-periodic solutions, oscillation properties in the conservative case, and global properties of the full equation. Includes bibliographic references and indexes by author and subject.
Hyperbolic Equations and Waves
Author: Marcel Froissart
Publisher: Springer Science & Business Media
ISBN: 3642870252
Category : Mathematics
Languages : en
Pages : 403
Book Description
The success of the 1967 Battelle Rencontres was so much appre ciated by the participants and organizers of this experimental set-up that it was soon decided to go on with the experiment. Mathematicians and physicists had found a very suitable frame to overcome their natural shyness, to get occasionally interested into each others' work, to talk 1968 Rencontres have about it, and eventually to know each other. The been organized with the same idea in mind, and even somewhat enlarged in the following sense: the topic chosen - hyperbolic equations and waves - has proved a cornerstone of physics for more than a century and extends over most fields of contemporary physics. It follows immediately that the wide range of physicists concerned could not be represented by more than a couple of specialists in any single field. Thus, aside from bridging the gap between mathematicians and physicists, the 1968 Recontres provided a rather unique occasion to plug many intra disciplinary gaps among physicists. This made the Rencontres quite unpredictable as to how people would - and could - interact, and created a very stimulating environ ment for an unprecedented intellectual venture. From the outside, it may very well look like a hodge-podge of quite unrelated ideas. But it was much less so at the level of day-to-day discussions and informal gatherings where all slowly acquired a comprehensive synthetic view of the subject.
Publisher: Springer Science & Business Media
ISBN: 3642870252
Category : Mathematics
Languages : en
Pages : 403
Book Description
The success of the 1967 Battelle Rencontres was so much appre ciated by the participants and organizers of this experimental set-up that it was soon decided to go on with the experiment. Mathematicians and physicists had found a very suitable frame to overcome their natural shyness, to get occasionally interested into each others' work, to talk 1968 Rencontres have about it, and eventually to know each other. The been organized with the same idea in mind, and even somewhat enlarged in the following sense: the topic chosen - hyperbolic equations and waves - has proved a cornerstone of physics for more than a century and extends over most fields of contemporary physics. It follows immediately that the wide range of physicists concerned could not be represented by more than a couple of specialists in any single field. Thus, aside from bridging the gap between mathematicians and physicists, the 1968 Recontres provided a rather unique occasion to plug many intra disciplinary gaps among physicists. This made the Rencontres quite unpredictable as to how people would - and could - interact, and created a very stimulating environ ment for an unprecedented intellectual venture. From the outside, it may very well look like a hodge-podge of quite unrelated ideas. But it was much less so at the level of day-to-day discussions and informal gatherings where all slowly acquired a comprehensive synthetic view of the subject.
Quasilinear Hyperbolic Systems and Waves
Author: Alan Jeffrey
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 254
Book Description
"The solution to quasilinear first order hyperbolic systems of equations may be interpretated in terms of waves, which belong to a certain function class and propagate in some suitable space, the work all has a common feature the fact that it adds to the understanding of what may be called nonlinear wave propagation" - preface.
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 254
Book Description
"The solution to quasilinear first order hyperbolic systems of equations may be interpretated in terms of waves, which belong to a certain function class and propagate in some suitable space, the work all has a common feature the fact that it adds to the understanding of what may be called nonlinear wave propagation" - preface.
Bibliographic Index
Author:
Publisher:
ISBN:
Category : Bibliographical literature
Languages : en
Pages : 1110
Book Description
Publisher:
ISBN:
Category : Bibliographical literature
Languages : en
Pages : 1110
Book Description
Book Review Index
Author:
Publisher:
ISBN:
Category : Books
Languages : en
Pages : 1520
Book Description
Vols. 8-10 of the 1965-1984 master cumulation constitute a title index.
Publisher:
ISBN:
Category : Books
Languages : en
Pages : 1520
Book Description
Vols. 8-10 of the 1965-1984 master cumulation constitute a title index.
Hyperbolic Equations and Waves
Author: Marcel Froissart
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description