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Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

Vishnu D. Sharma
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2010
Number of Pages: 
268
Format: 
Hardcover
Series: 
Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 142
Price: 
99.95
ISBN: 
9781439836903
Category: 
Monograph
We do not plan to review this book.

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

Dummy View - NOT TO BE DELETED