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Energy Methods for Free Boundary Problems - Applications to Nonlinear PDEs and Fluid Mechanics (Hardcover, 2002 ed.)
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Energy Methods for Free Boundary Problems - Applications to Nonlinear PDEs and Fluid Mechanics (Hardcover, 2002 ed.)
Series: Progress in Nonlinear Differential Equations and Their Applications, 48
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Total price: R4,450
Discovery Miles: 44 500
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For the past several decades, the study of free boundary problems
has been a very active subject of research occurring in a variety
of applied sciences. What these problems have in common is their
formulation in terms of suitably posed initial and boundary value
problems for nonlinear partial differential equations. Such
problems arise, for example, in the mathematical treatment of the
processes of heat conduction, filtration through porous media,
flows of non-Newtonian fluids, boundary layers, chemical reactions,
semiconductors, and so on. The growing interest in these problems
is reflected by the series of meetings held under the title "Free
Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia
1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987,
Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999).
From the proceedings of these meetings, we can learn about the
different kinds of mathematical areas that fall within the scope of
free boundary problems. It is worth mentioning that the European
Science Foundation supported a vast research project on free
boundary problems from 1993 until 1999. The recent creation of the
specialized journal Interfaces and Free Boundaries: Modeling,
Analysis and Computation gives us an idea of the vitality of the
subject and its present state of development. This book is a result
of collaboration among the authors over the last 15 years."
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