Доказана теорема о существовании и единственности решения краевой задачи в полосе для одного вырождающегося эллиптического уравнения высокого порядка, вырождающегося на одной из границ полосы в уравнение третьего порядка по одной из переменных. Ключевые слова: априорная оценка, вырождающееся эллиптическое уравнение, весовые пространства С. Л. Соболева.

No abstract

Intensification of the processes of post-harvest processing of leguminous crops is an urgent task for enterprises of the agro-industrial complex. The improvement of the known methods of ensuring reliable protection of leguminous crops from the effects of pathogenic microflora, quarantine insect pests is of substantive interest for research. The most common way of disinfecting food is fumigation - the elimination of insect pests and pathogens with a gaseous or vaporous toxic chemical. The article discusses the process of fumigation of leguminous crops with an ionized flow of an aerodispersed mixture in a drum-type installation, and also presents the results of mathematical modeling of this process. The mathematical description of the proposed model of the fumigation process was carried out using the applied package “Mathcad”. An analytical study of the obtained mathematical model made it possible to establish a number of dependencies and patterns characterizing the course of the process of electrostatic fumigation of leguminous crops in a constant stirring mode.

Improving the processes of post-harvest processing of leguminous crops is an urgent task for enterprises of the agro-industrial complex. The issues of ensuring reliable protection of leguminous crops from the effects of pathogenic microflora, quarantine insect pests are of sub-stantive interest for research. To date, fumigation is considered a common method of disinfecting products - the elimination of insect pests and pathogens by a gaseous or vaporous poisonous chemist. The article describes the design features of the installation for carrying out the process of fumigation of leguminous crops with an ionized flow of an air-dispersed mixture, and also presents some dependences characterizing the course of the process of electrostatic fumigation of legumes in the device being developed. The use of the proposed design of the installation for electrostatic fumigation of leguminous crops in an overflowing layer will allow for a uniform and high-quality fumigation process.

The article presents the results of studies of the process of electrostatic fumigation of seeds of leguminous crops with an ionized fumigating agent in a drum-type installation by methods of mathematical planning. A complete factorial experiment of type 23 is implemented. An equation is obtained that adequately describes this process, and its graphic interpretation is given. Practical recommendations are given for the development of regimes for industrial fumigation of seeds of leguminous crops, allowing to predict the conditions of the process.