The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion

Pages: 205 - 278
Published: Jun 26, 2017
Abstract
We describe the mathematical theory of diffusion and heat transport with a view to including some of the main directions of recent research. The linear heat equation is the basic mathematical model that has been thoroughly studied in the last two centuries. It was followed by the theory of parabolic equations of different types. In a parallel development, the theory of stochastic partial differential equations gives a foundation to the...
Paper Details
Title
The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion
Published Date
Jun 26, 2017
Pages
205 - 278
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