| Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference Held August 20-29, 1989 in Gregynog, Wales Softcover Repri Edition Contributor(s): Lloyd, N. G. (Editor), Ni, M. G. (Editor), Peletier, L. a. (Editor) |
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ISBN: 1461267412 ISBN-13: 9781461267416 Publisher: Birkhauser OUR PRICE: $161.49 Product Type: Paperback - Other Formats Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - Partial - Mathematics | Mathematical Analysis - Mathematics | Applied |
| Dewey: 515.353 |
| Series: Progress in Nonlinear Differential Equations and Their Appli |
| Physical Information: 1.19" H x 6.14" W x 9.21" (1.79 lbs) 572 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |