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- 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 El-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
- References
