More From Solomon I. Khmelnik

PROGRAMS for Solving the Equations of Hydrodynamics in the MATLAB SYSTEM By Solomon I. Khmelnik
eBook (PDF): $50.00
This book contains programs in the MATLAB system. In these programs, a new method for solving the equations of hydrodynamics is realized.
Уравнения Навье-Стокса. Существование и метод поиска глобального решения. By Solomon I. Khmelnik
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Формулируется и доказывается... More > вариационный принцип экстремума для вязкой несжимаемой и сжимаемой жидкости, из которого следует, что уравнения Навье-Стокса являются условиями экстремума некоторого функционала. Описывается метод поиска решения этих уравнений, который состоит в движении по градиенту к экстремуму этого функционала. Формулируются условия достижения этого экстремума, которые являются одновременно необходимыми и достаточными условиями существования глобального экстремума этого функционала.< Less
Navier-Stokes equations. On the existence and the search method for global solutions. By Solomon I. Khmelnik
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In this book we formulate and prove the variational extremum principle for viscous incompressible and compressible fluid, from which principle follows that the Naviet-Stokes equations represent the... More > extremum conditions of a certain functional. We describe the method of seeking solution for these equations, which consists in moving along the gradient to this functional extremum. We formulate the conditions of reaching this extremum, which are at the same time necessary and sufficient conditions of this functional global extremum existence.< Less
Fluid Flow in Tube with Obstacle: the New Calculation Method and the MATLAB-program. By Solomon I. Khmelnik
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In [1] the variational principle of the extremum for a viscous incompressible and compressible fluid is proposed, from which it follows that the Navier-Stokes equations are the conditions for the... More > unique extremum of a certain functional. A method is also proposed for the search for this extremum, which is simultaneously a method for solving these equations. Here we based on this method describe the program for calculating the Fluid Flow in Tube with Obstacle - calculating the velocity and pressure of the liquid at all points of the tube.< Less

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