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Titlebook: Energy Methods for Free Boundary Problems; Applications to Nonl S. N. Antontsev,J. I. Díaz,S. Shmarev Book 2002 Springer Science+Business M

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发表于 2025-3-21 18:40:27 | 显示全部楼层 |阅读模式
书目名称Energy Methods for Free Boundary Problems
副标题Applications to Nonl
编辑S. N. Antontsev,J. I. Díaz,S. Shmarev
视频video
丛书名称Progress in Nonlinear Differential Equations and Their Applications
图书封面Titlebook: Energy Methods for Free Boundary Problems; Applications to Nonl S. N. Antontsev,J. I. Díaz,S. Shmarev Book 2002 Springer Science+Business M
描述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 Inte
出版日期Book 2002
关键词continuum mechanics; fluid dynamics; fluid mechanics; mechanics; nonlinear analysis; partial differential
版次1
doihttps://doi.org/10.1007/978-1-4612-0091-8
isbn_softcover978-1-4612-6607-5
isbn_ebook978-1-4612-0091-8Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightSpringer Science+Business Media New York 2002
The information of publication is updating

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Epilogue: Some Further Thoughts at the End,to a stationary profile for solutions to nonlinear evolution problems. To be precise, let Ω ⊂ ℝ., . ≥ 1, be an open set (which need be neither bounded nor connected). Denote . = Ω × ℝ., Σ. = ∂Ω × ℝ.. To fix ideas, let us consider the general initial and boundary-value problem .where .(.) is a differ
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Spiritualism and Women‘s Writingblems (models) of fluid mechanics. By . we mean a differential equation or a system of differential and functional equations completed, perhaps, by initial and boundary conditions, whose solutions describe certain parameters of a definite physical process.
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,Über Gewohnheiten zu Centricity,In this chapter, we introduce and develop the energy method as a tool for the study of nonlinear stationary problems which give rise to free boundaries. These free boundaries are usually defined as the boundaries of the supports of solutions and, as we shall indicate later on, are of great relevance in many applications.
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Arndt Büssing,Simon Peng-KellerIn this chapter the energy method is applied to study the space and time localization of weak solutions for nonlinear degenerate parabolic equations and systems of such equations.
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