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Titlebook: A Mathematical Introduction to Fluid Mechanics; A. J. Chorin,J. E. Marsden Textbook 19902nd edition Springer-Verlag New York Inc. 1990 Ide

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期刊全称A Mathematical Introduction to Fluid Mechanics
影响因子2023A. J. Chorin,J. E. Marsden
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学科分类Texts in Applied Mathematics
图书封面Titlebook: A Mathematical Introduction to Fluid Mechanics;  A. J. Chorin,J. E. Marsden Textbook 19902nd edition Springer-Verlag New York Inc. 1990 Ide
影响因子.Mathematical Introduction to Fluid Mechanics. presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics. The first chapter contains an elementary derivation of the equations, and the concept of vorticity is introduced. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented. Chapter 3 contains an analysis of one-dimensional gas flow from a mildly modern point of view. Weak solution, Riemann problems, Glimm‘s scheme, and combustion waves are covered.
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https://doi.org/10.1007/978-1-4684-0364-0Identity; dynamics; equation; fluid mechanics; waves
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Springer-Verlag New York Inc. 1990
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https://doi.org/10.1007/978-3-319-51880-0The goal of this chapter is to present a deeper study of the relationship between viscous and nonviscous flows. We begin with a more detailed study of inviscid irrotational flows, .., potential flows. Then we go on to study boundary layers, where the main difference between slightly viscous and inviscid flows originates.
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Texts in Applied Mathematicshttp://image.papertrans.cn/a/image/141399.jpg
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America, Pakistan, and the India Factortroduce the notion of a weak solution and the entropy condition for shocks. In the third section we discuss the Riemann problem, .., a flow problem with particular discontinuous initial data. A general construction, due to Glimm, which uses the solution of Riemann problems to produce solutions of ar
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