Title: Nontraditional Methods in Mathematical Hydrodynamics (Translations of Mathematical Monographs)
Publisher: American Mathematical Society
Publication Date: 1995
Language: English
ISBN 10: 0821802852
ISBN 13: 9780821802854
Binding: Hardcover
Condition: New
Weight: 715 grams

About this title

Synopsis

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.

Language Notes

Text: English (translation)
Original Language: Russian

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