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Titlebook: Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mech; William G. Litvinov Book 2000 Spring

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Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mech978-3-0348-8387-0Series ISSN 0255-0156 Series E-ISSN 2296-4878
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Operator Theory: Advances and Applicationshttp://image.papertrans.cn/o/image/703250.jpg
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https://doi.org/10.1007/978-3-0348-8387-0Boundary value problem; Hilbert space; Operator; Sobolev space; Transformation; electromagnetic wave; flui
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Optimization Problems for Steady Flows of Viscous and Nonlinear Viscous Fluids,In this chapter, we will formulate and investigate various problems of optimization of flows of nonlinear viscous, non-Newtonian fluids. The majority of real fluids are non-Newtonian and nonlinear viscous. A special case of the fluids under consideration is a viscous, Newtonian fluid, so that all the results of this chapter remain true for it.
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Optimal Control by Coefficients in Elliptic Systems, the technique developed is easily transferred to the case of Ω ⊂ ℝ. where n > 2. One has just to raise either the smoothness index or the degree of integrabihty of elements of a Sobolev space which contains the set of admissible controls.
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Direct Problems for Plates and Shells,th respect to it. Take the midplane of the plate to be the (., .) plane, and let the . axis be directed downwards. Denote displacements of points of the midplane along the . axis by . and assume that the so-called Kirchhoff hypotheses hold:
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Optimization of Deformable Solids,rmines the consumption of material needed for production of the construction as well as some operating features of the latter. For example, the increase of weight of an aircraft causes growth of the fuel rate in flight and degradation of some flight characteristics.
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Optimal Control by Coefficients in Elliptic Systems, the technique developed is easily transferred to the case of Ω ⊂ ℝ. where n > 2. One has just to raise either the smoothness index or the degree of integrabihty of elements of a Sobolev space which contains the set of admissible controls.
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