Author | Parker, David F. author |
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Title | Fields, Flows and Waves [electronic resource] : An Introduction to Continuum Models / by David F. Parker |
Imprint | London : Springer London : Imprint: Springer, 2003 |
Connect to | http://dx.doi.org/10.1007/978-1-4471-0019-5 |
Descript | XII, 270 p. 17 illus. online resource |
1. The Continuum Description -- 1.1 Densities and Fluxes -- 1.2 Conservation and Balance Laws in One Dimension -- 1.3 Heat Flow -- 1.4 Steady Radial Flow in Two Dimensions -- 1.5 Steady Radial Flow in Three Dimensions -- 2. Unsteady Heat Flow -- 2.1 Thermal Energy -- 2.2 Effects of Heat Supply -- 2.3 Unsteady, Spherically Symmetric Heat Flow -- 3. Fields and Potentials -- 3.1 Gradient of a Scalar -- 3.2 Gravitational Potential -- 3.3 Continuous Distributions of Mass -- 3.4 Electrostatics -- 4. Laplaceโs Equation and Poissonโs Equation -- 4.1 The Ubiquitous Laplacian -- 4.2 Separable Solutions -- 4.3 Poissonโs Equation -- 4.4 Dipole Solutions -- 5. Motion of an Elastic String -- 5.1 Tension and Extension; Kinematics and Dynamics -- 5.2 Planar Motions -- 5.3 Properties of the Wave Equation -- 5.4 DโAlembertโs Solution, Travelling Waves and Wave Reflections -- 5.5 Other One-dimensional Waves -- 6. Fluid Flow -- 6.1 Kinematics and Streamlines -- 6.2 Volume Flux and Mass Flux -- 6.3 Two-dimensional Flows of Incompressible Fluids -- 6.4 Pressure in a Fluid -- 6.5 Bernoulliโs Equation -- 6.6 Three-dimensional, Incompressible Flows -- 7. Elastic Deformations -- 7.1 The Kinematics of Deformation -- 7.2 Polar Decomposition -- 7.3 Stress -- 7.4 Isotropic Linear Elasticity -- 8. Vibrations and Waves -- 8.2 Guided Waves -- 8.3 Love Waves in Elasticity -- 8.4 Elastic Plane Waves -- 9. Electromagnetic VVaves and Light -- 9.1 Physical Background -- 9.2 Waveguides -- 10. Chemical and Biological Models -- 10.1 Diffusion of Chemical Species -- 10.2 Population Biology -- 10.3 Biological Waves -- Solutions