Hydraulics

Download E-books Nontraditional Methods in Mathematical Hydrodynamics (Translations of Mathematical Monographs) PDF

By O. V. Troshkin

This booklet discusses a few qualitative positive aspects of mathematical types of incompressible fluids. 3 easy platforms of hydrodynamical equations are thought of: the method of desk bound Euler equations for flows of a fantastic (nonviscous) fluid, desk bound Navier-Stokes equations for flows of a viscous fluid, and Reynolds equations for the suggest speed box, strain, and pair one-point pace correlations of turbulent flows. The research issues algebraic or geometric homes of vector fields generated through those equations, comparable to the final association of streamlines, the nature and distribution of singular issues, stipulations for his or her absence or visual appeal, and so forth. Troshkin contains out a scientific program of the research to enquire stipulations for designated solvability of a few difficulties for those quasilinear platforms. Containing many examples of specific phenomena illustrating the final rules coated, this e-book can be of curiosity to researchers and graduate scholars operating in mathematical physics and hydrodynamics.

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