Ray Methods for Nonlinear Waves in Fluids and Plasmas Monographs and Surveys in Pure and Applied Mathematics Series
Langue : Anglais
Auteurs : Anile Marcelo, Pantano P, Russo G, Hunter J
Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.
Introduction 1. Physical Framework 2. Introductory Concepts for Wave Motions 3. Ray Methods for Linear Waves 4. Ray Methods for Nonlinear Hyperbolic Waves 5. Ray Method for the Propagation of Discontinuities 6. Generalized Wavefront Expansion for Weak Shocks 7. Small Time Analysis and Shock Stability 8. Ray Methods for Nonlinear Dispersive Waves 9. Ray Methods for Nonlinear Dissipative Waves 10. Interaction of Dispersive Waves 11. Interaction of Hyperbolic Waves
Academic and Professional Practice & Development
Anile, Marcelo; Pantano, P; Russo, G; Hunter, J
Date de parution : 12-2019
15.6x23.4 cm
Thèmes de Ray Methods for Nonlinear Waves in Fluids and Plasmas :
Mots-clés :
Linear PDE; KP Equation; Ordinary Differential Equations; Density Scale Height; Ray Methods; Local Wave Number; Asymptotic Series; Weak Discontinuities; Bicharacteristic Curves; Characteristic Shocks; Van Der Waals Gas; Nonlinear Wave Propagation; Energy Density; Kinematic Wave Equation; Asymptotic Power Series; Mach Number; Nonlinear Wave; Jump Conditions; Asymptotic Sequence; Burgers Equation; Hugoniot Curve; Mixed Initial Boundary; Collisional Plasma; Entropy Balance Law; Asymptotic Expansions
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