Nontraditional methods in mathematical hydrodynamics

Author(s)

• Troshkin, O. V

Bibliographic Information

Nontraditional methods in mathematical hydrodynamics

O.V. Troshkin ; [translated by Peter Zhevandrov from an original Russian manuscript ; translation edited by Simeon Ivanov]

（Translations of mathematical monographs, v. 144）

American Mathematical Society, c1995

Other Title

Нетрадиционные задачи математической гидродинамики

Netradit︠s︡ionnye zadachi matematicheskoĭ gidrodinamiki

Note

Translation of: Netradit︠s︡ionnye zadachi matematicheskoĭ gidrodinamiki

Includes bibliographical references (p. 191-197)

Description and Table of Contents

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.

Table of Contents

Introduction Stationary flows of an ideal fluid on the plane Topology of two-dimensional flows A two-dimensional passing flow problem for stationary Euler equations The dissipative top and the Navier-Stokes equations Specific features of turbulence models Appendix. Formal constructions connected with Euler equations References.

by "Nielsen BookData"

Details

• NCID: BA24848067
• ISBN:
  • 0821802852
• LCCN: 94048581
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Providence, R.I.
• Pages/Volumes: viii, 197 p.
• Size: 27 cm
• Classification:
  • LCC : QA911
  • DC20 : 532/.58
• Subject Headings:
  • LCSH : Hydrodynamics
• Parent Bibliography ID:
  • BA00080309