Аннотация:The mathematical inner turbulence model describing structure formations in instability zones are proposed and justified. The constructed mathematical object
reproduces the basic process instabilities and their stabilization invers relations, that requires the agreement of micro and macro scales, wave and diffusion processes. The birth of two-speed flow (the Riemann-Hugoniot catastrophe) and the alternation origin(band flow) are discribed. Physical interpretation and numerical analysis are discussed.