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The Porous Medium Equation
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The Porous Medium Equation: Mathematical Theory

Juan Luis Vazquez

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 ... More

Keywords: heat equation, linear partial differential equations, nonlinear, fluid flow, heat transfer, diffusion, mathematical biology, lubrication, boundary layer theory

Bibliographic Information

Print publication date: 2006 Print ISBN-13: 9780198569039
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198569039.001.0001

Authors

Affiliations are at time of print publication.

Juan Luis Vazquez, author
Universidad Autónoma de Madrid

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