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Titlebook: New Directions in Mathematical Fluid Mechanics; The Alexander V. Kaz Andrei V. Fursikov,Giovanni P. Galdi,Vladislav V. Book 2010 Birkhäuse

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发表于 2025-3-21 16:43:25 | 显示全部楼层 |阅读模式
书目名称New Directions in Mathematical Fluid Mechanics
副标题The Alexander V. Kaz
编辑Andrei V. Fursikov,Giovanni P. Galdi,Vladislav V.
视频video
概述Contributions by leading experts in the field of mathematical physics and mathematical fluid mechanics.The state of the art of a broad range of topics is presented.Dedicated to the memory of A.V. Kazh
丛书名称Advances in Mathematical Fluid Mechanics
图书封面Titlebook: New Directions in Mathematical Fluid Mechanics; The Alexander V. Kaz Andrei V. Fursikov,Giovanni P. Galdi,Vladislav V.  Book 2010 Birkhäuse
描述On November 3, 2005, Alexander Vasil’evich Kazhikhov left this world, untimely and unexpectedly. He was one of the most in?uential mathematicians in the mechanics of ?uids, and will be remembered for his outstanding results that had, and still have, a c- siderablysigni?cantin?uenceinthe?eld.Amonghis manyachievements,werecall that he was the founder of the modern mathematical theory of the Navier-Stokes equations describing one- and two-dimensional motions of a viscous, compressible and heat-conducting gas. A brief account of Professor Kazhikhov’s contributions to science is provided in the following article “Scienti?c portrait of Alexander Vasil’evich Kazhikhov”. This volume is meant to be an expression of high regard to his memory, from most of his friends and his colleagues. In particular, it collects a selection of papers that represent the latest progress in a number of new important directions of Mathematical Physics, mainly of Mathematical Fluid Mechanics. These papers are written by world renowned specialists. Most of them were friends, students or colleagues of Professor Kazhikhov, who either worked with him directly, or met him many times in o?cial scienti?c meetings, wher
出版日期Book 2010
关键词Boundary Control Problems; Euler Equations; Lagrangian Method; Mathematical physics; Navier-Stokes equat
版次1
doihttps://doi.org/10.1007/978-3-0346-0152-8
isbn_ebook978-3-0346-0152-8Series ISSN 2297-0320 Series E-ISSN 2297-0339
issn_series 2297-0320
copyrightBirkhäuser Basel 2010
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发表于 2025-3-21 20:31:24 | 显示全部楼层
,Finite-dimensional Control for the Navier—Stokes Equations,ontrol is selected from this subspace too. On the basis of estimates of the solution for the subdifferential Cauchy problem for a Navier—Stokes system, controllability of the flow is proven on the condition that the norm of the control is minimal.
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Boundary Control Problems for Stationary Equations of Heat Convection,. Numerical algorithm based on Newton’s method for the optimality system and finite element method for linearized boundary value problems is proposed. Some computational results connected with the vortex reduction in the backward-facing-step channel by means of the heat flux on a part of the boundary are given and analyzed.
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On the Sharp Vanishing Viscosity Limit of Viscous Incompressible Fluid Flows,ce .([0, .];. .). This convergence result, in the strong topology, is due to T. Kato, see [.]. We show here a very elementary proof. We assume, together with the convergence of . to zero, the convergence of the initial data in the . . norm.
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Viscous Flows in Domains with a Multiply Connected Boundary,also intersects each component of the boundary. Having available this estimate, we prove an existence theorem for the axially symmetric problem in a domain with a multiply connected boundary. We consider also the problem in a curvilinear ring and formulate a conditional result concerning its solvability.
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