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Nonlinear Diffusion Equations and Their Equilibrium States, 3

Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales
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Description

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.
Release date NZ
June 1st, 1991
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Contributors
  • Edited by J. Serrin
  • Edited by L.A. Peletier
  • Edited by M.G. Ni
  • Edited by N.G. Lloyd
Illustrations
X, 572 p.
Pages
572
Dimensions
156x234x31
ISBN-13
9780817635312
Product ID
2557090

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