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Quasilinear Hyperbolic Systems and Waves

Quasilinear Hyperbolic Systems and Waves
Author: Alan Jeffrey
Publisher: Pitman Publishing
Total Pages: 252
Release: 1976
Genre: Mathematics
ISBN:

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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.


Global Classical Solutions for Quasilinear Hyperbolic Systems

Global Classical Solutions for Quasilinear Hyperbolic Systems
Author: Daqian Li
Publisher:
Total Pages: 340
Release: 1994-09-06
Genre: Mathematics
ISBN:

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A systematic presentation of the global classical solution and the global classical discontinuous solution to quasilinear hyperbolic systems. This book is a result of the author's research on the Cauchy problem, boundary value problems, free boundary problems and the generalised Riemann problem.


Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves
Author: Vishnu D. Sharma
Publisher: CRC Press
Total Pages: 284
Release: 2010-04-29
Genre: Mathematics
ISBN: 1439836914

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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


Theory and Application of Hyperbolic Systems of Quasilinear Equations

Theory and Application of Hyperbolic Systems of Quasilinear Equations
Author: Hyun-Ku Rhee
Publisher: Courier Corporation
Total Pages: 582
Release: 2001-01-01
Genre: Mathematics
ISBN: 9780486419947

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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.


An Inhomogeneous Quasilinear Hyperbolic System

An Inhomogeneous Quasilinear Hyperbolic System
Author: Ching-hua Wang
Publisher:
Total Pages: 36
Release: 1980
Genre:
ISBN:

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We consider quasilinear hyperbolic partial differential equations modeling ideal gas flow under various physical effects. When these effects are represented as Lipschitz continuous functions of the states, solutions to the initial value problem are shown to exist globally in time. Our analysis is based on the random choice method which generalizes the Glimm scheme for hyperbolic conservation laws. (Author).


Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems

Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems
Author: Giacomo Albi
Publisher: SEMA SIMAI Springer Series
Total Pages: 0
Release: 2024-06-04
Genre:
ISBN: 9783031298776

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A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. Well known examples are hyperbolic systems with source terms, kinetic equations, and convection-reaction-diffusion equations. This book collects research advances in numerical methods for hyperbolic balance laws and kinetic equations together with related modelling aspects. All the contributions are based on the talks of the speakers of the Young Researchers' Conference "Numerical Aspects of Hyperbolic Balance Laws and Related Problems", hosted at the University of Verona, Italy, in December 2021.