Nonlinear Hyperbolic Equations and Field Theory

Nonlinear Hyperbolic Equations and Field Theory PDF Author: M K V Murthy
Publisher: CRC Press
ISBN: 9780582087668
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June 1990.

Nonlinear Hyperbolic Equations and Field Theory

Nonlinear Hyperbolic Equations and Field Theory PDF Author: M K V Murthy
Publisher: CRC Press
ISBN: 9780582087668
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June 1990.

Nonlinear Hyperbolic Equations and Field Theory

Nonlinear Hyperbolic Equations and Field Theory PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 227

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Book Description


Nonlinear Hyperbolic Equations and Field Theory

Nonlinear Hyperbolic Equations and Field Theory PDF Author: M. K. Venkatesha Murthy
Publisher: Halsted Press
ISBN: 9780470218532
Category : Differential equations, Hyperbolic
Languages : en
Pages : 227

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Book Description
Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June 1990.

Lectures on Nonlinear Hyperbolic Differential Equations

Lectures on Nonlinear Hyperbolic Differential Equations PDF Author: Lars Hörmander
Publisher: Springer Science & Business Media
ISBN: 9783540629214
Category : Mathematics
Languages : en
Pages : 308

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Book Description
In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein-Gordon equation with small initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with pseudodifferential operators which are standard in the theory of linear differential operators, but the extension to the more exotic classes of opertors needed in the nonlinear theory is presented in complete detail.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations PDF Author: Sergio Albeverio
Publisher: Birkhäuser
ISBN: 3034880731
Category : Mathematics
Languages : en
Pages : 444

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Book Description
This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations".

Lecture Notes on Numerical Methods for Hyperbolic Equations

Lecture Notes on Numerical Methods for Hyperbolic Equations PDF Author: Elena Vázquez-Cendón
Publisher: CRC Press
ISBN: 0203590627
Category : Mathematics
Languages : en
Pages : 144

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Book Description
This volume contains the lecture notes of the Short Course on Numerical Methods for Hyperbolic Equations (Faculty of Mathematics, University of Santiago de Compostela, Spain, 2-4 July 2011). The course was organized in recognition of Prof. Eleuterio Toro‘s contribution to education and training on numerical methods for partial differential equation

Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications

Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications PDF Author: Josef Ballmann
Publisher: Springer Science & Business Media
ISBN: 3322878694
Category : Technology & Engineering
Languages : en
Pages : 729

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Book Description
On the occasion of the International Conference on Nonlinear Hyperbolic Problems held in St. Etienne, France, 1986 it was decided to start a two years cycle of conferences on this very rapidly expanding branch of mathematics and it·s applications in Continuum Mechanics and Aerodynamics. The second conference toolc place in Aachen, FRG, March 14-18, 1988. The number of more than 200 participants from more than 20 countries all over the world and about 100 invited and contributed papers, well balanced between theory, numerical analysis and applications, do not leave any doubt that it was the right decision to start this cycle of conferences, of which the third will be organized in Sweden in 1990. ThiS volume contains sixty eight original papers presented at the conference, twenty two cif them dealing with the mathematical theory, e.g. existence, uniqueness, stability, behaviour of solutions, physical modelling by evolution equations. Twenty two articles in numerical analysis are concerned with stability and convergence to the physically relevant solutions such as schemes especially deviced for treating shoclcs, contact discontinuities and artificial boundaries. Twenty four papers contain multidimensional computational applications to nonlinear waves in solids, flow through porous media and compressible fluid flow including shoclcs, real gas effects, multiphase phenomena, chemical reactions etc. The editors and organizers of the Second International Conference on Hyperbolic Problems would lilce to thanlc the Scientific Committee for the generous support of recommending invited lectures and selecting the contributed papers of the conference.

Blowup for Nonlinear Hyperbolic Equations

Blowup for Nonlinear Hyperbolic Equations PDF Author: Serge Alinhac
Publisher: Springer Science & Business Media
ISBN: 9780817638108
Category : Mathematics
Languages : en
Pages : 132

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Book Description
Solutions to partial differential equations or systems often, over specific time periods, exhibit smooth behaviour. Given sufficient time, however, they almost invariably undergo a brutal change in behaviour, and this phenomenon has become known as blowup. In this book, the author provides an overview of what is known about this situation and discusses many of the open problems concerning it.

Hyperbolic Partial Differential Equations

Hyperbolic Partial Differential Equations PDF Author: Serge Alinhac
Publisher: Springer Science & Business Media
ISBN: 0387878238
Category : Mathematics
Languages : en
Pages : 159

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Book Description
This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.

Nonlinear Hyperbolic Problems

Nonlinear Hyperbolic Problems PDF Author: Claude Carasso
Publisher: Springer
ISBN: 3540468005
Category : Mathematics
Languages : en
Pages : 254

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Book Description
The papers included in this proceedings volume are mostly original research papers, dealing with life-span of waves, nonlinear interaction of waves, and various applications to fluid mechanics.