Nonlinear Diffusion Equations and Their Equilibrium States, 3 - Proceedings from a Conference held August 20-29, 1989 in Gregynog, Wales (Paperback, Softcover reprint of the original 1st ed. 1992)

Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Progress in Nonlinear Differential Equations and Their Applications, 7
Release date:	March 2013
First published:	1992
Editors:	N.G. Lloyd • M.G. Ni • L.A. Peletier • J. Serrin
Dimensions:	235 x 155 x 30mm (L x W x T)
Format:	Paperback
Pages:	572
Edition:	Softcover reprint of the original 1st ed. 1992
ISBN-13:	978-1-4612-6741-6
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Promotions
LSN:	1-4612-6741-2
Barcode:	9781461267416

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