Thermal stability of a reactive liquid flow

Stability analysis of the solution of the system of differential partial equations describing the thermal state of a reactive liquid flow is based on reducing the infinite-dimensional problem to a finite-dimensional space containing the part of the solution that determines its stability. Within the framework of the projection method, the zero space of the corresponding generating operator is used as the finite-dimensional space. Generally, the zero space of the generating operator of the problem considered consists of its eigenfunctions. Analysis is performed for a combination of liquid-flow parameters such that the generating operator degenerates and to construct its zero space, it is necessary to use vectors generated by the Jordan chain. Calculation results are presented.