Formation of structures in nonlinear media and nonequilibrium thermodynamics of aggravation regimes

In a medium, the description of which includes quasilinear transport equations (the thermal conductivity, conductivity and viscosity coefficients depend on temperature, density and magnetic field), the effect of nonlinear bulk heat sources, under specific conditions, generates strongly nonequilibrium processes, the so-called regimes with aggravation. They can cause heat localization and magnetic field phenomena on certain space scales or in certain sections of the mass in a compressible medium. This results in different spatial distribution of the quantities indicated, i.e., development of different types of structures in the medium. The work, on the basis of consideration of the quasilinear thermal conductivity equation with nonlinear bulk heat sources, found the characteristics of the strongly nonequilibrium thermodynamics which cause such a complication of organization of the medium. 88 references