Strong blast in a heterogeneous medium

Abstract

The paper is devoted to the issues of the theory of Strong Blast in a heterogeneous medium, having a wide range of inner degrees of freedom. Unlike the classical definition of the Sedov-Taylor problem, in which the shock wave is simulated by mathematical rupture, in this paper the shock wave is considered in terms of synergy, as a partially ordered localized structure, in which the range of inner degrees of freedom determines the dissipative properties of the medium. An important feature of the derived family of solutions of the problem of Strong Blast with power non-linear dependencies is presence of physical indeterminateness of development of irreversible shock-wave processes, characteristic for the processes of self-organizing in thermodynamically open systems with different physical nature. Special attention in the paper is given to the central solution of the problem of Strong Blast (PSB), derived in the form of special logarithm-hyperbolic functions, involving Fibonacci structural invariants. Comparative analysis of the theoretical results and earlier obtained transformations and automodel solutions of the problem of Strong Blast in a heterogeneous medium in the classical definition has been performed. It is shown that the earlier obtained for the heterogeneous medium transformations of classical equations and solutions of PSB are approximate in the general case.