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Sokotushenko V.N. EQUATION OF SMALL MECHANICAL AGITATION IN TOUGH ISOTROPIC MEDIUM WITH ACCOUNTING OF THE SECOND COEFFICIENT OF TENACITY [№ 9 ' 2006] Consequences of equation of tough medium particles movement in contrast to elastic medium are not wave equation because of tenacity coefficient presence in it. Wave equations which satisfy functions of density, presser and the first variant of deformation speed tensor of ideally compressible medium particles follow at equal to zero tenacity coefficient from differential equation received in work which are constitute consequences of Navie – Stocks equation. Equations of small mechanical agitation in tough isotropic medium are presented with accounting of the second coefficient of tenacity.
Sokotushchenko V.N., Chikulev A.V. MATHEMATICAL ANALOGY AND CONSEQUENCES OF EQUATIONS OF VISCOUS AND ELASTIC MEDIUMS MOVING [№ 6 ' 2006] Consequences of Navie-Sticks and Lame-Dyuamel-Neiman linearized equations are received on the base of mathematical analogy of methods of viscous and elastic mediums models construction. At the same time the components of curl’s vectors satisfy diffusion equation independently of condensability properties of viscous medium in frame of using in work the linearized formulation of physical-mathematical model of viscous medium. Received equations include both as adiabatic as isothermal processes, which can conduct mechanical interactions depending on meanings of parameters characterized medium, and, consequently, can be used as for isoentropic (in case of reversible processes - adiabatic) as for isothermal processes.
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Editor-in-chief |
Sergey Aleksandrovich MIROSHNIKOV |
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