Quasilinear Hyperbolic Systems Compressible Flows and Waves

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Opis: Quasilinear Hyperbolic Systems Compressible Flows and Waves - Vishnu D. Sharma, V Sharma

Filled with practical examples, this book 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. The author elucidates all necessary mathematical concepts in the first three chapters, including an introduction to general wave propagation problems. He highlights the application of various approaches, such as singular surface theory, asymptotic methods, and self-similarity, to solve practical physical problems from areas, including gasdynamics, radiation gasdynamics, magnetogasdynamics, nonequilibrium flows, and shallow water theory.Hyperbolic Systems of Conservation Laws Preliminaries Examples Scalar Hyperbolic Equations in One Dimension Breakdown of Smooth Solutions Entropy Conditions Revisited Riemann Problem for Nonconvex Flux Function Irreversibility Asymptotic Behavior Hyperbolic Systems in One Space Dimension Genuine Nonlinearity Weak Solutions and Jump Condition Entropy Conditions Riemann Problem Shallow Water Equations Evolution of Weak Waves in Hyperbolic Systems Waves and Compatibility Conditions Evolutionary Behavior of Acceleration Waves Interaction of Shock Waves with Weak Discontinuities Weak Discontinuities in Radiative Gasdynamics One-Dimensional Weak Discontinuity Waves Weak Nonlinear Waves in an Ideal Plasma Relatively Undistorted Waves Asymptotic Waves for Quasilinear Systems Weakly Nonlinear Geometrical Optics Far Field Behavior Energy Dissipated across Shocks Evolution Equation Describing Mixed Nonlinearity Singular Ray Expansions Resonantly Interacting Waves Self-Similar Solutions Involving Discontinuities and Their Interaction Waves in Self-Similar Flows Imploding Shocks in a Relaxing Gas Exact Solutions of Euler Equations via Lie Group Analysis Kinematics of a Shock of Arbitrary Strength Shock Wave through an Ideal Gas in 3-Space Dimensions An Alternative Approach Using the Theory of Distributions Kinematics of a Bore over a Sloping Beach Bibliography Index


Szczegóły: Quasilinear Hyperbolic Systems Compressible Flows and Waves - Vishnu D. Sharma, V Sharma

Tytuł: Quasilinear Hyperbolic Systems Compressible Flows and Waves
Autor: Vishnu D. Sharma, V Sharma
Producent: CRC Press Inc.
ISBN: 9781439836903
Rok produkcji: 2010
Ilość stron: 282
Oprawa: Twarda
Waga: 0.54 kg


Recenzje: Quasilinear Hyperbolic Systems Compressible Flows and Waves - Vishnu D. Sharma, V Sharma

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Quasilinear Hyperbolic Systems Compressible Flows and Waves

,

Filled with practical examples, this book 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. The author elucidates all necessary mathematical concepts in the first three chapters, including an introduction to general wave propagation problems. He highlights the application of various approaches, such as singular surface theory, asymptotic methods, and self-similarity, to solve practical physical problems from areas, including gasdynamics, radiation gasdynamics, magnetogasdynamics, nonequilibrium flows, and shallow water theory.Hyperbolic Systems of Conservation Laws Preliminaries Examples Scalar Hyperbolic Equations in One Dimension Breakdown of Smooth Solutions Entropy Conditions Revisited Riemann Problem for Nonconvex Flux Function Irreversibility Asymptotic Behavior Hyperbolic Systems in One Space Dimension Genuine Nonlinearity Weak Solutions and Jump Condition Entropy Conditions Riemann Problem Shallow Water Equations Evolution of Weak Waves in Hyperbolic Systems Waves and Compatibility Conditions Evolutionary Behavior of Acceleration Waves Interaction of Shock Waves with Weak Discontinuities Weak Discontinuities in Radiative Gasdynamics One-Dimensional Weak Discontinuity Waves Weak Nonlinear Waves in an Ideal Plasma Relatively Undistorted Waves Asymptotic Waves for Quasilinear Systems Weakly Nonlinear Geometrical Optics Far Field Behavior Energy Dissipated across Shocks Evolution Equation Describing Mixed Nonlinearity Singular Ray Expansions Resonantly Interacting Waves Self-Similar Solutions Involving Discontinuities and Their Interaction Waves in Self-Similar Flows Imploding Shocks in a Relaxing Gas Exact Solutions of Euler Equations via Lie Group Analysis Kinematics of a Shock of Arbitrary Strength Shock Wave through an Ideal Gas in 3-Space Dimensions An Alternative Approach Using the Theory of Distributions Kinematics of a Bore over a Sloping Beach Bibliography Index

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Cena 393,00 PLN
Nasza cena 367,45 PLN
Oszczędzasz 6%
Wysyłka: Niedostępna
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Szczegóły: Quasilinear Hyperbolic Systems Compressible Flows and Waves - Vishnu D. Sharma, V Sharma

Tytuł: Quasilinear Hyperbolic Systems Compressible Flows and Waves
Autor: Vishnu D. Sharma, V Sharma
Producent: CRC Press Inc.
ISBN: 9781439836903
Rok produkcji: 2010
Ilość stron: 282
Oprawa: Twarda
Waga: 0.54 kg


Recenzje: Quasilinear Hyperbolic Systems Compressible Flows and Waves - Vishnu D. Sharma, V Sharma

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