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Birkhauser Nonlinear Diffusion Equations & Equilibrium States Vol. 3

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Description

This scholarly volume collects proceedings from the August 1989 conference in Gregynog, Wales, focusing on nonlinear diffusion equations and their equilibrium states. Nonlinear diffusion equations occupy a central position in partial differential equation theory, presenting both profound mathematical challenges and significant practical applications across multiple scientific disciplines. The collection addresses equations of the form Ut = ~cp(U) + f(u), where ~ represents the n-dimensional Laplacian and cp and f are given functions. Contributors examine applications spanning biological and chemical pattern formation, semiconductor design, environmental problems including solute transport in groundwater flow, phase transitions, and combustion theory. Part of the Progress in Nonlinear Differential Equations and Their Applications series published by Birkhauser, this volume provides rigorous mathematical treatment of equations fundamental to contemporary research in applied mathematics and physics.

Key Features

Proceedings from August 1989 Gregynog conference on nonlinear diffusion equations featuring leading researchers in partial differential equations.

Covers equilibrium state theory and the central equation Ut = ~cp(U) + f(u) with detailed mathematical analysis.

Applications include biological pattern formation, chemical reactions, semiconductor design, and groundwater solute transport problems.

Addresses phase transitions and combustion theory through the lens of nonlinear diffusion mathematics.

Published by Birkhauser as volume 7 in the Progress in Nonlinear Differential Equations and Their Applications series.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
13 October 2012
Listed Since
03 March 2013

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