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) ...
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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.
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Add this copy of Nonlinear Diffusion Equations and Their Equilibrium to cart. $44.43, very good condition, Sold by Dotcom liquidators / dc1 rated 4.0 out of 5 stars, ships from Fort Worth, TX, UNITED STATES, published 1992 by Birkhauser.
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Good. Some scratches and marks to the cover on both sides. Inscriptions at the front, content seems fine throughout. A very good readable hardback. Sewn binding. Cloth over boards. 572 p. Progress in Nonlinear Differential Equations and Their Appli, 7.
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All Editions of Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference Held August 20-29, 1989, in Gregynog, Wales
