守恒律的非对易性对热力学和气体动力学不稳定性发展的影响（反对称微分形式方法）
The effect of noncommutativity of the conservation laws on the development of thermodynamical and gas dynamical instability (The method of skew-symmetric differential forms)
摘要：
在作者的著作中，已经证明了物质介质的守恒定律（能量、线动量、角动量和质量的守恒定律，它们在物理量的变化和相应的外部作用之间建立了平衡）是非对易的。守恒定律的非对易性导致内力的出现和非平衡的出现，这是物质介质（物质系统）中不稳定性发展的原因。这些结果是借助于反对称微分形式的数学工具得到的。为了研究发展不稳定性的原因，有必要检查从平衡守恒律方程得到的演化关系，并分析进入这种关系的微分形式交换子。本文将反对称微分形式的方法应用于热力学和气体动力学系统的研究。指出热力学原理是由两个守恒定律，即能量守恒定律和线动量守恒定律所导出的。在这种情况下，热力学第二原理遵循第一原理，从中获得态函数（指定热力学系统的状态）。描述了气体动力学系统不稳定性发展的机制，解释了波动、涡旋、湍流脉动等的出现过程。
英文摘要：
In the works by the author it has been shown that the conservation laws for material media (the conservation laws for energy, linear momentum, angular momentum, and mass, that establish a balance between the variation of a physical quantity and the corresponding external action), turn out to be noncommutative. The noncommutativity of the conservation laws that leads to an emergence of internal forces and an appearance of the nonequilibrium is a cause of development of instability in material media (material systems). These results were obtained with the help of the mathematical apparatus of skew-symmetric differential forms. To study the causes of developing instability it is necessary to inspect the evolutionary relation obtained from equations of the balance conservation laws and to analyze the differential form commutator that enters into this relation. In the present work the method of skew-symmetric differential forms has been applied in study of the thermodynamical and gas dynamical systems. It was shown that the principle of thermodynamics follows from two conservation laws, namely, the balance conservation laws for energy and linear momentum. In this case the second principle of thermodynamics, from which the state function (which specifies a state of the thermodynamical system) is obtained, follows from the first principle. A mechanism of development of instability in gas dynamical systems is described and there are explained such processes as emergence of waves, vortices, turbulent pulsations and so on.
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