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Nontraditional Methods in Mathematical Hydrodynamics (Hardcover)
Loot Price: R2,723
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Nontraditional Methods in Mathematical Hydrodynamics (Hardcover)
Series: Translations of Mathematical Monographs
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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.
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