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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Nonlinear Diffusion Equations and Their Equilibrium States, 3 - Proceedings from a Conference held August 20-29, 1989 in Gregynog, Wales (Hardcover, 1992 ed.)
Loot Price: R4,927
Discovery Miles 49 270
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Nonlinear Diffusion Equations and Their Equilibrium States, 3 - Proceedings from a Conference held August 20-29, 1989 in Gregynog, Wales (Hardcover, 1992 ed.)
Series: Progress in Nonlinear Differential Equations and Their Applications, 7
Expected to ship within 10 - 15 working days
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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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