Screen LibrarySelected papers of C.C. Lin /
"One of the most prolific applied mathematicians of the mid-twentieth century, Prof Lin is a highly respected professor at MIT. These volumes, a collection of Prof Lin's papers from 1943 to 1986, is an attempt to exhibit a historical perception of the development of ideas in the following...
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| Group Author: | ; ; |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; Teaneck, N.J. : |
| Publication Dates: | 1987. |
| Literature type: | eBook |
| Language: | English |
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| Online Access: |
https://www.worldscientific.com/worldscibooks/10.1142/0412#t=toc |
| Summary: |
"One of the most prolific applied mathematicians of the mid-twentieth century, Prof Lin is a highly respected professor at MIT. These volumes, a collection of Prof Lin's papers from 1943 to 1986, is an attempt to exhibit a historical perception of the development of ideas in the following areas of research: Stability of Parallel Flows, Turbulence, and Spiral Structure of Galaxies. Prof Lin has written short comments and personal recollections on the development of thinking in these subjects. In addition to research papers, there are two essays dealing with the basic thinking that underlies the development of applied mathematics as an academic discipline in USA. Other topics of interest are Aerodynamics, Liquid Helium, Solid State Physics, Plasticity and Magnetohydrodynamics. About 51 papers are included in these two volumes. " |
| Carrier Form: | 2 v. (xiv, 1017 pages) : illustrations |
| Bibliography: |
"Bibliography of the publications of C.C. Lin": pages 1007-1017. Includes bibliographical references. |
| ISBN: | 9789814415651 |
| CLC: | O4 |
| Contents: |
v. 1. Fluid mechanics and applied mathematics. A. Stability theory. [8] On the stability of two - dimensional parallel flows -- [11] Investigation of the stability of the laminar boundary layer in a compressible fluid (with L. Lees) -- [22] On the stability of the boundary layer over a cone -- (with R. H. Battin) -- [38] On the stability of the laminar mixing region between two parallel streams in a gas -- [47] On the stability of the laminar boundary layer in a compressible fluid (with D.W. Dunn) -- [62] On the secondary motion induced by oscillations in a shear flow (with D. J. Benney) -- [63 ] Some mathematical problems in the theory of the stability of parallel flows -- [66] On the instability of shear flows (with D. J. Benney) -- B. Turbulence. [19] On the concept of similarity in the theory of isotropic turbulence (with Th. von Karman) -- [27] On the statistical theory of isotropic turbulence (with Th. von Karman) -- [37] On Taylor's hypothesis and the acceleration terms in the Navier-Stokes equations -- [60] On a theory of dispersion by continuous movements -- [61] On a theory of dispersion by continuous movements, II. Stationary anisotropic processes -- [68] Turbulent flow, theoretical aspects (with W. H. Reid) -- [87] Note on stretching of line and surface elements in isotropic turbulence -- C. General fluid mechanics and aerodynamics. [3 ] On the motion of vortices in two dimensions -- [9] On an extension of the von Karman-Tsien method to two-dimensional subsonic flows with circulations around closed profiles -- [14] On the nature of the boundary layer near the leading edge of a flat plate (with G. F. Carrier) -- [15] On the flow behind curved shocks (with S. I. Rubinov) -- [20] On the subsonic flow through circular and straight lattices of airfoils -- [43 ] On a perturbation theory based on the method of characteristics -- [55] Note on a class of exact solutions in magneto-hydrodynamics -- [59] Note on a class of exact solutions in magneto-hydrodynamics -- D. Other papers in mathematical physics. [1 ] On the dependence of interaction energy upon atomic arrangements in superlattices of binary alloys -- [2] Note on the normalization of Dirac functions -- [12] On the mechanical behavior of metals in the strain-hardening range (with G. H. Handelman and W. Prager) -- [56] On the asymptotic solutions of a class of ordinary differential equations of the fourth order (with A. L. Rabenstein) -- [67] Hydrodynamics of helium II -- [83] On the asymptotic theory of a class of ordinary differential equations of fourth order, II. Existence of solutions which are approximated by the formal solutions (with A. L. Rabenstein) -- Asymptotic solutions [symbol] for large [symbol] (by A. L. Rabenstein) -- E. Essays on applied mathematics. [93] On the role of applied mathematics -- [102] Education of applied mathematicians. v. 2. Astrophysics. [70] On the spiral structure of disk galaxies (with F. H. Shu) -- [71] The gravitational collapse of a uniform spheroid (with L. Mestel and F. H. Shu) -- [72] On the spiral structure of disk galaxies, II. Outline of a theory of density waves (with F. H. Shu) -- [75] On the mathematical theory of a galaxy of stars -- [77] Density waves in disk galaxies (with F. H. Shu) -- [80] Density wave theory of spiral structure (with F. H. Shy) -- [81] On the spiral structure of disk galaxies, III. Comparison with observations (with C. Yuan and F. H. Shu) -- [84] Interpretation of large-scale spiral structure -- [85] Theory of spiral structure -- [86] A forcing mechanism for spiral density waves in galaxies (with S. I. Feldman) -- [94] Unstable spiral modes in disk-shaped galaxies (with Y. Y. Lau and James W.-K. Mark) -- [98] Discrete spiral modes in disk galaxies : Some numerical examples based on density wave theory (with G. Bertin , Y. Y. Lau, James W.-K. Mark and L. Sugiyama) -- [99] On the stellar streaming motions and the observational determination of the structural constants of the galaxy (with C. Yuan and W. W. Roberts, Jr.) -- [103] Density wave theory of spiral structure of galaxies (with Y. Y.Lau) -- [106J Galactic dynamics and gravitational plasmas (with G. Berlin) -- [108] On the dynamical basis of the classification of normal galaxies (with J. Haass and G. Berlin) -- [110] Quasi-stationary spiral structure in galaxies -- [111] Formation and maintenance of spiral structure in galaxies (with G. Bertin) -- [112] On the morphology of spiral modes (with C. Berlin' and S. A. Lowe) -- [113] On a spectral theory of the excitation mechanism of galatic spirals (with R. P. Thurstans). |