Accounting for Quadratic and Cubic Invariants in Continuum Mechanics–An Overview
Artur V. Dmitrenko,
Vladislav M. Ovsyannikov
Abstract:The differential equations of continuum mechanics are the basis of an uncountable variety of phenomena and technological processes in fluid-dynamics and related fields. These equations contain derivatives of the first order with respect to time. The derivation of the equations of continuum mechanics uses the limit transitions of the tendency of the volume increment and the time increment to zero. Derivatives are used to derive the wave equation. The differential wave equation is second order in time. Therefore… Show more
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