Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

ISBN: 9781439836903 出版年：2010 页码：284 Sharma, Vishnu D CRC Press

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