Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales: 7 (Progress ... Equations and Their Applications, 7) - Hardcover
Book 1 of 53: Progress in Nonlinear Differential Equations and Their Applications
Synopsis
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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"The book is worth reading for research workers in meteorology and geophysics, willing to deal with powerful tools of applied mathematics."
--MAP
Synopsis
Nonlinear diffusion equations hold a prominent place in the theory of partial differential equations, both for the mathematical questions they pose and for the important role they play in science and technology. Examples of current interest are biological and chemical pattern formation, semiconductor design, environmental problems such as solute tr
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Nonlinear Diffusion Equations and their Equilibrium States, No. 3. Proceedings from a Conference held August 20-29, 1989 in Gregynog, Wales (Progress in Nonlinear Differential Equations and Their Applications)
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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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Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference Held August 20-29, 1989 in Gregynog, Wales
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Secaucus, New Jersey, U.S.A.: Birkhauser, 1992
ISBN 10: 0817635319
ISBN 13: 9780817635312
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Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference held August 2029, 1989 in Gregynog, Wales: 7 (Progress . Equations and Their Applications, 7) [Hardcover] Lloyd, N.G; Ni, M.G.; Peletier, L.A. and Serrin, J.
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