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Author: O. V. Troshkin
Publisher: American Mathematical Soc.
ISBN: 9780821897614
Category : Mathematics
Languages : en
Pages : 212
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Book Description
This book discusses a number of qualitative features of mathematical models of incompressible fluids. Three basic systems of hydrodynamical equations are considered: the system of stationary Euler equations for flows of an ideal (nonviscous) fluid, stationary Navier-Stokes equations for flows of a viscous fluid, and Reynolds equations for the mean velocity field, pressure, and pair one-point velocity correlations of turbulent flows. The analysis concerns algebraic or geometric properties of vector fields generated by these equations, such as the general arrangement of streamlines, the character and distribution of singular points, conditions for their absence or appearance, and so on. Troshkin carries out a systematic application of the analysis to investigate conditions for unique solvability of a number of problems for these quasilinear systems. Containing many examples of particular phenomena illustrating the general ideas covered, this book will be of interest to researchers and graduate students working in mathematical physics and hydrodynamics.
Author: O. V. Troshkin
Publisher: American Mathematical Soc.
ISBN: 9780821897614
Category : Mathematics
Languages : en
Pages : 212
Get Book Here
Book Description
This book discusses a number of qualitative features of mathematical models of incompressible fluids. Three basic systems of hydrodynamical equations are considered: the system of stationary Euler equations for flows of an ideal (nonviscous) fluid, stationary Navier-Stokes equations for flows of a viscous fluid, and Reynolds equations for the mean velocity field, pressure, and pair one-point velocity correlations of turbulent flows. The analysis concerns algebraic or geometric properties of vector fields generated by these equations, such as the general arrangement of streamlines, the character and distribution of singular points, conditions for their absence or appearance, and so on. Troshkin carries out a systematic application of the analysis to investigate conditions for unique solvability of a number of problems for these quasilinear systems. Containing many examples of particular phenomena illustrating the general ideas covered, this book will be of interest to researchers and graduate students working in mathematical physics and hydrodynamics.
Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 1630
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Book Description
Author: John von Neumann
Publisher: Princeton University Press
ISBN: 1400881897
Category : Mathematics
Languages : en
Pages : 268
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Book Description
Geometry of orthogonal spaces.
Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 1290
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Author: Marston Morse
Publisher: Princeton University Press
ISBN: 0691095027
Category : Mathematics
Languages : en
Pages : 152
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Book Description
A classic treatment of topological methods in the theory of functions of a complex variable from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author: Alan F. Beardon
Publisher: Courier Dover Publications
ISBN: 0486837181
Category : Mathematics
Languages : en
Pages : 259
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Book Description
Text for advanced undergraduates and graduate students provides geometrical insights by covering angles, basic complex analysis, and interactions with plane topology while focusing on concepts of angle and winding numbers. 1979 edition.
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Category : American literature
Languages : en
Pages : 3054
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Book Description
Author: Thomas Bloom
Publisher: Princeton University Press
ISBN: 1400882575
Category : Mathematics
Languages : en
Pages : 361
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Book Description
The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field. The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.
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Category : Monographic series
Languages : en
Pages : 1814
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Book Description
Vols. for 1980- issued in three parts: Series, Authors, and Titles.
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ISBN:
Category : Booksellers' catalogs
Languages : en
Pages : 936
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Book Description
