Physics and engineering fractional calculus (Volume 2): Application (English)(Chinese Edition)

Ship out in 2 business day, And Fast shipping, Free Tracking number will be provided after the shipment.HardCover Pub Date: 2013 Pages: 457 Language: English Publisher: Higher Education Press physics and engineering fractional calculus (Volume 2): Application (English) Volume 1 describes the fractal dimension calculus mathematical foundation and theory. the important branch of modern analytical science to provide a detailed and clear analysis and description. Section II volume is the application papers about the practical applications of fractional calculus in physics. Disciplinary applications turbulence semiconductor plasma thermodynamics. mechanics and quantum optics. nano-physics and astrophysics. the physical and engineering fractional calculus (Volume 2): Application (English version) to the reader demonstrate a new approach and cutting-edge perspective. Contents: Mechanics 7.1 Tautochrone problem 7.1.1 Non-relativistic case 7.1.2 Relativistic case 7.2 Inverse problems 7.2.1 Finding potential from a period-energy dependence 7.2.2 Finding potential from scattering data 7.2.3 Stellar systems 7.3 Motion through a viscous fluid 7.3.1 Entrainment of fluid by a moving wall 7.3.2 Newton's equation with fractional term 7.3.3 Solution by the Laplace transform method 7.3.4 Solution by the Green functions method 7.3.5 Fractionalized fall process 7.4 Fractional oscillations 7.4.1 Fractionalized harmonic oscillator 7.4.2 Linear chain of fractional oscillators 7.4.3 Fractionalized waves 7.4.4 Fractionalized Frenkel-Kontorova model 7.4.5 Oscillations of bodies in a viscous fluid 7.5 Dynamical control problems 7.5.1 PID controller and its fractional generalization 7.5.2 Fractional transfer functions 7.5.3 Fractional optimal control problem 7.6 Analytical fractional dynamics 7.6.1 Euler-Lagrange equation 7.6.2 Discrete system Hamiltonian 7.6.3 Potentials of non-concervative forces 7.6.4 Hamilton-Jacobi mechanics 7.6.5 Hamiltonian formalism for field theory References Continuum Mechanics 8.1 Classical hydrodynamics 8.1.1 A simple hydraulic problem 8.1.2 Liquid drop oscillations 8.1.3 Sound radiation 8.1.4 Deep water waves 8.2 Turbulent motion 8.2.1 Kolmogorov's model of turbulence 8.2.2 From Kolmogorov's hypothesis to the space- fractional equation 8.2.3 From Boltzmann's equation to the time-fractional telegraph one 8.2.4 Turbulent diffusion in a viscous fluid 8.2.5 Navier-Stokes equation 8.2.6 Reynolds' equation 8.2.7 Diffusion in lane flows 8.2.8 Subdiffusion in a random compressible flow 8.3 Fractional models of viscoelasticity 8.3.1 Two first models of fractional viscoelasticity 8.3.2 Fractionalized Maxwell model 8.3.3 Fractionalized Kelvin-Voigt model 8.3.4 Standard model and its generalization 8.3.5 Bagley-Torvik model 8.3.6 Hysteresis loop 8.3.7 Rabotnov's model 8.3.8 Compound mechanical models 8.3.9 The Rouse model of polymers 8.3.10 Hamiltonian dynamic approach 8.4 Viscoelastic fluids motion 8.4.1 Gerasimov's results 8.4.2 E1-Shahed-Salem solutions 8.4.3 Fractional Maxwell fluid : plain flow 8.4.4 Fractional Maxwell fluid: longitudinal flow in a cylinder 8.4.5 Magnetohydrodynamic flow 8.4.6 Burgers' equation 8.5 Solid bodies 8.5.1 Viscoelastic rods 8.5.2 Local fractional approach 8.5.3 Nonlocal approach Reference Porous Media 9.1 Diffusion 9.1.1 Main concepts of anomalous diffusion 9.1.2 Granular porosity 9.1.3 Fiber porosity 9.1.4 Filtration 9.1.5 MHD flow in porous media 9.1.6 Advection-diffusion model 9.1.7 Reaction-diffusion equations 9.2 Fractional acoustics 9.2.1 Lokshin-Suvorova equation 9.2.2 Schneider-Wyss equation 9.2.3 Matignon et al. equation 9.2.4 Viscoelastic loss operators 9.3 Geophysical applications 9.3.1 Water transport in unsaturated soils 9.3.2 Seepage flow 9.3.3 Foam Drainage Equation 9.3.4 Seismic waves 9.3.5 Multi-degree-of-freedom system of devices 9.3.6 Spatial-temporal distribution of aftershocks References 10 Thermodynamics 10.1 Classical heat transfer theory 10.1.1 Heat flux through boundaries 10.1.2 F.…