An initial boundary value problem for the in situ leaching is considered. We describe physical processes at the microscopic level with a pore size ε ≪ 1 by model A ε , where dynamics of the incompressible solid skeleton is described by the Lamé equations and the physical process in the pore space by the Stokes equations for the incompressible fluid with diffusion equations ...

In this work it is proposed to study differential operators on a graph as an operator composed of differential operators on one-dimensional arcs and matrix operators on interior vertices of the graph. The work explores some questions concerning the theoretical side of ordinary differential equations with integro-differential conditions on stratified sets like graph. The attention ...

This article investigates a fourth-order differential equation defined in a Hilbert space, with an unbounded intermediate coefficient and potential. The key distinction from previous research lies in the fact that the intermediate term of the equation does not obey to the differential operator formed by its extreme terms. The study establishes that the generalized solution to ...

The global shift toward renewable fuels and the reduction in anthropogenic environmental impact have become increasingly critical. However, the current challenges in fully transitioning to environmentally friendly fuels necessitate the use of transitional fuel mixtures. While many alternatives have been explored, the combination of hydrogen and LPG appears to be the most practical ...

The article describes a technology processing ontological model of words in public political discourse. The research task is developing an information question-answering system of political discourse in Kazakh language. The Python programming language, Sparql data-query language, and Owlready module are used to develop the system.

The object of the study is the chemical resistance of concrete modified with granite dust and acrylic latex. The materials used in the study were concrete samples with a variable composition of additive components, which were subsequently exposed to an aggressive environment. The problem, which the research is aimed at solving, is the tendency of concrete structures ...

The composite of a phase change material (PCM) and bitumen or asphalt as a matrix is expected as a new, advanced material for road construction. The main motivation for this article was to show the new possibilities and perspectives of developing the pavement with the usage of PCMs. Incorporating PCMs into paving materials can improve their properties, including allowing the ...

According to the Bureau of National Statistics of the Republic of Kazakhstan, by the end of 2023, approximately 120 million tons of municipal solid waste (MSW) had been generated across over 3200 landfills in the country. About 4.5 million tons are generated annually, of which only about 15% are recycled. The accumulation of both unsorted and sorted waste poses significant ...

This study proposes an approach to 3D modeling of spatial manipulators in the Maple 2023 software environment. Algorithms and program codes have been developed to create computer 3D models of manipulators controlled by generalized coordinates. The implementation of these algorithms and program codes has enabled the creation of three-dimensional computer models of manipulators ...