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Titlebook: Inequalities in Mechanics and Physics; Georges Duvaut,Jacques Louis Lions Book 1976 Springer-Verlag Berlin Heidelberg 1976 Finite.Ungleich

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發(fā)表于 2025-3-21 18:49:25 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Inequalities in Mechanics and Physics
編輯Georges Duvaut,Jacques Louis Lions
視頻videohttp://file.papertrans.cn/465/464396/464396.mp4
叢書名稱Grundlehren der mathematischen Wissenschaften
圖書封面Titlebook: Inequalities in Mechanics and Physics;  Georges Duvaut,Jacques Louis Lions Book 1976 Springer-Verlag Berlin Heidelberg 1976 Finite.Ungleich
描述1. We begin by giving a simple example of a partial differential inequality that occurs in an elementary physics problem. We consider a fluid with pressure u(x, t) at the point x at the instant t that 3 occupies a region Q oflR bounded by a membrane r of negligible thickness that, however, is semi-permeable, i. e., a membrane that permits the fluid to enter Q freely but that prevents all outflow of fluid. One can prove then (cf. the details in Chapter 1, Section 2.2.1) that au (aZu azu aZu) (1) in Q, t>o, -a - du = g du = -a z + -a z + -a z t Xl X X3 z l g a given function, with boundary conditions in the form of inequalities u(X,t?o => au(x,t)/an=O, XEr, (2) u(x,t)=o => au(x,t)/an?:O, XEr, to which is added the initial condition (3) u(x,O)=uo(x). We note that conditions (2) are non linear; they imply that, at each fixed instant t, there exist on r two regions r~ and n where u(x, t) =0 and au (x, t)/an = 0, respectively. These regions are not prescribed; thus we deal with a "free boundary" problem.
出版日期Book 1976
關(guān)鍵詞Finite; Ungleichung; approximation; calculus; continuum mechanics; duality; elasticity; equation; function; m
版次1
doihttps://doi.org/10.1007/978-3-642-66165-5
isbn_softcover978-3-642-66167-9
isbn_ebook978-3-642-66165-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 1976
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,Maxwell’s Equations. Antenna Problems,utions in Sections 4–6. This theory is indispensable for the subsequent treatment of Maxwell’s equations in a polarizable medium. Section 3 is a presentation of the physical problems under consideration.
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Book 1976ssure u(x, t) at the point x at the instant t that 3 occupies a region Q oflR bounded by a membrane r of negligible thickness that, however, is semi-permeable, i. e., a membrane that permits the fluid to enter Q freely but that prevents all outflow of fluid. One can prove then (cf. the details in Ch
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,Maxwell’s Equations. Antenna Problems, are coupled, with the mechanics of Bingham fluids yielding the magnetodynamics of Bingham fluids. This second possibility is treated in Duvaut-Lions [7]. The present chapter is devoted to unilateral problems connected with Maxwell’s equations. Since we cannot refer to a unified exposition of the cl
6#
發(fā)表于 2025-3-22 16:47:18 | 只看該作者
Georges Duvaut,Jacques Louis Lionsunite and divide us. Human affairs impinge inevitably on questions of identity and belonging that hinge on and sometimes challenge state frontiers, national membership, civic ties, the bounds of religious and ethnic collectivities, and the limits of moral community. Any given day is likely to bring
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發(fā)表于 2025-3-22 23:56:26 | 只看該作者
Book 1976=uo(x). We note that conditions (2) are non linear; they imply that, at each fixed instant t, there exist on r two regions r~ and n where u(x, t) =0 and au (x, t)/an = 0, respectively. These regions are not prescribed; thus we deal with a "free boundary" problem.
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發(fā)表于 2025-3-23 07:48:36 | 只看該作者
Georges Duvaut,Jacques Louis Lions characteristic concerns have hitherto gone entirely unaddressed. To the contrary, the issue has been implicitly addressed in some of the more innovative recent work in political theory and social ethics. In this chapter, I explore four diverse lines of inquiry into justice and the ethics of boundar
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