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Nonlinear Diffusion Equations and Their Equilibrium States I: Proceedings of a Microprogram held August 25-September 12, 1986 by W.-M. Ni, James Serrin, L.A. Peletier (Paperback, 2011)

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In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the n-dimensional Laplacian, the solution u = u(x, t) is defined over some space-time domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its time-independent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the Lend-Emden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461396079
eBay Product ID (ePID)
117536076

Product Key Features

Author
w.-M. Ni, James Serrin, L.A. Peletier
Publication Name
Nonlinear Diffusion Equations and Their Equilibrium States I: Proceedings of a Microprogram held August 25-September 12, 1986
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
359 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
12
Item Weight
569g

Additional Product Features

Series Title
Mathematical Sciences Research Institute Publications
Country/Region of Manufacture
United States
Editor
L.A. Peletier, James Serrin, w.-M. Ni

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Nonlinear Diffusion Equations and Their Equilibrium States I: Proceedings of a Microprogram held August 25-September 12, 1986 by W.-M. Ni, James Serrin, L.A. Peletier (Paperback, 2011)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

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