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THE STRUCTURE OF 3D STATIONARY ISOBARIC DUAL WAVES IN AN IDEAL INCOMPRESSIBLE FLUID.
PART1. REDUCTION OF THE GOVERNING EQUATION SYSTEM

V. E. Shemarulin
VANT. Ser.: Mat. Mod. Fiz. Proc 2016. Вып.3. С. 47-61.

The study of the structure of isobaric (inertial) flows of an ideal incompressible fluid continued. Non-trivial (inconstant) isobaric flows fall into two classes: the rank 1 flows (simple waves) and the rank 2 flows (dual waves). In the previous paper the author comprehensively described the structure of simple waves – both the 2D nonstationary and 3D stationary waves.
The present paper consisting of 2 parts describes the structure of 3D stationary isobaric dual waves. In Part 1 of the paper a governing system of functional equations implicitly defining isobaric 3D stationary dual waves is reduced to an equivalent system, which is more convenient for studying. In the next part, it will be shown that the reduced equation system solutions have a simple geometric structure and a variety of local solutions to the system (the main structural components, which assemblies represent all dual waves considered here) will be explicitly described.

Keywords: isobaric flows, 3D stationary dual waves, a governing system of functional equations, a reduced system.








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