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Diffusion-equation representations of landform evolution in the simplest circumstances: Appendix C

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Thomas C. Hanks, 2009, Diffusion-equation representations of landform evolution in the simplest circumstances: Appendix C: .

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The diffusion equation is one of the three great partial differential equations of classical physics. It describes the flow or diffusion of heat in the presence of temperature gradients, fluid flow in porous media in the presence of pressure gradients, and the diffusion of molecules in the presence of chemical gradients. [The other two equations are the wave equation, which describes the propagation of electromagnetic waves (including light), acoustic (sound) waves, and elastic (seismic) waves radiated from earthquakes; and LaPlace’s equation, which describes the behavior of electric, gravitational, and fluid potentials, all part of potential field theory. The diffusion equation reduces to LaPlace’s equation at steady state, when the [...]

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Thomas C. Hanks

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