Simple Waves and Their Interactions in Quasilinear Hyperbolic Systems

Simple Waves and Their Interactions in Quasilinear Hyperbolic Systems PDF Author: Alfred Grundland
Publisher:
ISBN:
Category : Differential equations, Hyperbolic
Languages : en
Pages : 202

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Simple Waves and Their Interactions in Quasilinear Hyperbolic Systems

Simple Waves and Their Interactions in Quasilinear Hyperbolic Systems PDF Author: Alfred Grundland
Publisher:
ISBN:
Category : Differential equations, Hyperbolic
Languages : en
Pages : 202

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Quasilinear Hyperbolic Systems and Waves

Quasilinear Hyperbolic Systems and Waves PDF Author: Alan Jeffrey
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 250

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"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.

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves PDF Author: Vishnu D. Sharma
Publisher: CRC Press
ISBN: 1439836914
Category : Mathematics
Languages : en
Pages : 284

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Book Description
Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field.After linking continuum mechanics and quasilinear partial di

Nonlinear Waves: A Geometrical Approach

Nonlinear Waves: A Geometrical Approach PDF Author: Petar Radoev Popivanov
Publisher: World Scientific Publishing
ISBN: 9813271620
Category : Mathematics
Languages : en
Pages : 209

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Book Description
This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, Fornberg-Whitham equation, Vakhnenko equation, Camassa-Holm equation, several versions of the NLS equation, Kaup-Kupershmidt equation, Boussinesq paradigm, and Manakov system, amongst others, as well as symmetrizable quasilinear hyperbolic systems arising in fluid dynamics.Readers not familiar with the complicated methods used in the theory of the equations of mathematical physics (functional analysis, harmonic analysis, spectral theory, topological methods, a priori estimates, conservation laws) can easily be acquainted here with different solutions of some nonlinear PDEs written in a sharp form (waves), with their geometrical visualization and their interpretation. In many cases, explicit solutions (waves) having specific physical interpretation (solitons, kinks, peakons, ovals, loops, rogue waves) are found and their interactions are studied and geometrically visualized. To do this, classical methods coming from the theory of ordinary differential equations, the dressing method, Hirota's direct method and the method of the simplest equation are introduced and applied. At the end, the paradifferential approach is used.This volume is self-contained and equipped with simple proofs. It contains many exercises and examples arising from the applications in mechanics, physics, optics and, quantum mechanics.

Quasilinear Hyperbolic Systems and Their Applications to Water Waves

Quasilinear Hyperbolic Systems and Their Applications to Water Waves PDF Author: John R. Mvungi
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Wave Phenomena: Modern Theory and Applications

Wave Phenomena: Modern Theory and Applications PDF Author: C. Rogers
Publisher: Elsevier
ISBN: 0080872085
Category : Science
Languages : en
Pages : 469

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Book Description
This volume contains 35 of the contributions to the international meeting Wave Phenomena: Modern Theory and Applications, held at the University of Toronto, Canada, at the end of June 1983.

Theory and Application of Hyperbolic Systems of Quasilinear Equations

Theory and Application of Hyperbolic Systems of Quasilinear Equations PDF Author: Hyun-Ku Rhee
Publisher: Courier Corporation
ISBN: 9780486419947
Category : Mathematics
Languages : en
Pages : 582

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Book Description
Second volume of a 2-volume set examines physical systems that can usefully be modeled by equations of the first order. The book begins with a consideration of pairs of quasilinear hyperbolic equations of the first order and goes on to explore multicomponent chromatography, complications of counter-current moving-bed adsorbers, more. Exercises. 1989 edition. 198 black-and-white illustrations. Author and subject indices.

Nonlinear Functional Analysis and Its Applications

Nonlinear Functional Analysis and Its Applications PDF Author: S.P. Singh
Publisher: Springer Science & Business Media
ISBN: 9400946325
Category : Mathematics
Languages : en
Pages : 408

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Book Description
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.

Quasilinear Hyperbolic System and Waves

Quasilinear Hyperbolic System and Waves PDF Author: Alan Jeffrey
Publisher:
ISBN:
Category :
Languages : en
Pages : 230

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Hyperbolic Equations and Frequency Interactions

Hyperbolic Equations and Frequency Interactions PDF Author: Luis A. Caffarelli
Publisher: American Mathematical Soc.
ISBN: 9780821886878
Category : Science
Languages : en
Pages : 488

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