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Titlebook: Higher Order Partial Differential Equations in Clifford Analysis; Effective Solutions Elena Obolashvili Book 2003 Springer Science+Busines

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書目名稱Higher Order Partial Differential Equations in Clifford Analysis
副標(biāo)題Effective Solutions
編輯Elena Obolashvili
視頻videohttp://file.papertrans.cn/427/426978/426978.mp4
概述New types of parabolic equations of high order considered in the Clifford analysis framework.Pluri-Beltrami and plurigeneralized Beltrami equations for ellpitic and hyperbolic cases.Boundary and initi
叢書名稱Progress in Mathematical Physics
圖書封面Titlebook: Higher Order Partial Differential Equations in Clifford Analysis; Effective Solutions  Elena Obolashvili Book 2003 Springer Science+Busines
描述The most important thing is to write equations in a beautiful form and their success in applications is ensured. Paul Dirac The uniqueness and existence theorems for the solutions of boundary and initial value problems for systems of high-order partial differential equations (PDE) are sufficiently well known. In this book, the problems considered are those whose solutions can be represented in quadratures, i.e., in an effective form. Such problems have remarkable applications in mathematical physics, the mechanics of deformable bodies, electro- magnetism, relativistic quantum mechanics, and some of their natural generalizations. Almost all such problems can be set in the context of Clifford analysis. Moreover, they can be obtained without applying any physical laws, a circumstance that gives rise to the idea that Clifford analysis itself can suggest generalizations of classical equations or new equations altogether that may have some physical content. For that reason, Clifford analysis represents one of the most remarkable fields in modem mathematics as well as in modem physics.
出版日期Book 2003
關(guān)鍵詞Applications of Mathematics; Boundary value problem; Clifford Analysis; Partial Differential Equations;
版次1
doihttps://doi.org/10.1007/978-1-4612-0015-4
isbn_softcover978-1-4612-6573-3
isbn_ebook978-1-4612-0015-4Series ISSN 1544-9998 Series E-ISSN 2197-1846
issn_series 1544-9998
copyrightSpringer Science+Business Media New York 2003
The information of publication is updating

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Elena Obolashvilig number of people are resorting to underground water. The future health consequences of arsenic exposure through drinking water could be enormous and could have detrimental impacts on the overall development of the population. This chapter begins with the situation analyses of arsenic exposure and
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Elena Obolashviliards. The HQ and cancer risks for children in all the three villages were high and very high, respectively. However, the hotspots of HQ were confined to Bhawani Tola. Suarmarwa experienced relatively higher risks of arsenicosis and other health challenges because of the poor socioeconomic and demogr
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Elena Obolashvilicticalities associated with their recovery and safe disposal. Particular emphasis is placed on the problems associated with old chemical weapons containing either thickened or polymerised “mustard gas” and/or organic arsenicals, as these have been shown to pose some of the most difficult disposal pr
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Elena Obolashviliurally efficient in As(III) uptake, compared to most crops already studied, which is mainly due to its improved ability to uptake and transport silicon, especially with the aid of aquaporins, as silicic acid and arsenite are chemically analogous. Similarly, the second most important As form, arsenat
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large volumes of both ground water and surface water, such as in the Yellowstone system, and can produce mineralised zones that subsequently release arsenic to ground water supplies. Regional identification of high-arsenic ground water and its consumption as described in the next three chapters cle
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