The Porous Medium Equation

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ID: 304749
2006
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Abstract
Abstract The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. This book provides a presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer, or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, and other fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises.
Reference Key
openalex_W2488273306 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Juan Luís Vázquez
Journal Oxford University Press eBooks
Year 2006
DOI
10.1093/acprof:oso/9780198569039.001.0001
URL
https://doi.org/10.1093/acprof:oso/9780198569039.001.0001
Keywords Keywords not found

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