The Dynamical Projectors Method : Hydro and Electrodynamics /: Hydro and Electrodynamics. (2018)

• Record Type: Book
• Further Information: Note: Sergey Leble, Anna Perelomova.
• Authors: Leble, Sergey; Perelomova, Anna
• Contents: Cover; Half Title; Title Page; Copyright Page; Dedication; Contents; List of Figures; Preface; Authors; Chapter 1 Introduction; Chapter 2 General Technique; 2.1 General Proper Space Definitionâ#x80;#x94;Eigenvector Problem for Perturbations over a Homogeneous Ground State; 2.1.1 General 1+1 D Problem. Linear Evolution in Homogeneous Case; 2.1.2 Transition to X-Representation; 2.1.3 Boundary Regime Propagation; 2.1.4 On Weak Nonlinearity Account Problems; 2.1.5 Weakly Inhomogeneous Ground State. Hyperbolic Equation; 2.1.6 Weak Inhomogeneity. Directed Waves; 2.1.7 Link to Spectral Theorem. Chapter 3 One-Dimensional Problem in Hydrodynamics3.1 On the Hydro-Thermodynamic Relations for Quasi-Isentropic Processes; 3.2 Thermoconducting Flow of an Uniform Newtonian Gas. Modes, Projectors and Dynamic Equations. Acoustic Heating; 3.2.1 An Ideal Gas; 3.2.2 Fluids Different from Ideal Gases; 3.3 Non-Newtonian Fluids.; 3.4 Acoustics of a Fluid Which Is Affected by Constant Mass Force; 3.4.1 Isothermal Atmosphere 1D Dynamics; 3.4.2 Examples of Projecting: Decomposition of the Total Field of Exclusively Entropy or Acoustic Parts and Energy Release with Mass Injection. 3.4.3 Dynamics of the Short-Scale WavesChapter 4 Coupling of Sound with Vorticity: Acoustic Streaming; 4.1 3D Hydrodynamics and Vortex Mode; 4.2 Five Projectors; 4.3 Examples of Acoustic Streaming:Weakly Difracting Beam and Stationary Waveform; Chapter 5 Projecting in Flows with Relaxation: Effects of Sound in Acoustically Active Fluids; 5.1 Vibrationally Relaxing Gases; 5.2 Chemically Reacting Gases; 5.2.1 Remarks on the Thermal Self-Focusing of Sound; 5.3 The Nonlinear Effects of Sound in a Liquid with Relaxation Losses. 5.4 On the Nonlinear Effects of Magnetoacoustic Perturbations in a Perfectly Conducting Viscous and Thermoconducting Gas5.4.1 On the Nonlinear Interactions in a Plasma with Finite Electrical Conductivity; Chapter 6 Boundary Layer Problem: Acoustic and Tollmienn-Schlichting Waves; 6.1 Preliminary Remarks; 6.2 Basic Equations for Compressible Fluid; 6.3 Linear Approximation; 6.4 The Tollmienn-Schlichting Mode; 6.5 Acoustic Modes; 6.6 Peculiarities of Non-Commutative Projecting in the Inhomogeneous Linear Problem; 6.7 Nonlinear Flow: Coupled Dynamic Equations. 6.8 Resonance Interaction of Acoustic and T-S ModesChapter 7 1D Electrodynamics; 7.1 Cauchy Problem for 1D Electrodynamics. Polarized Hybrid Fields; 7.1.1 The Problem Formulation Outline; 7.1.2 On Dynamical Projection Method Application: Cauchy Problem; 7.1.3 The Effect of a Cumulative Part of Interaction; 7.1.4 Dispersion Account, an Example; 7.2 General Dynamics Equations, SPE System; 7.2.1 The Shafer-Wayne (SPE) and Generalizations; 7.2.2 Discussion and Conclusions; 7.3 Boundary Regime Propagation in 1D Electrodynamics; 7.3.1 Statement of Problem.
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 532.5; Magnetohydrodynamics -- Mathematics; Hydrodynamics -- Mathematics; Electrodynamics -- Mathematics; Projection; Mathematical physics; Physics -- Data processing; Optics; Optoelectronics; Plasma (Ionized gases); Mathematical physics; Optics; Optoelectronics; Physics -- Data processing; Plasma (Ionized gases); Electronic books
• Languages: English
• ISBNs: 9781351107990; 1351107992; 9781351107983; 1351107984
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.