Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92.

МATHEMATICS

5–18

Bogdanova Rada A. On one system of functional equations for embedding an additive rank (2, 2) into a dual rank (3, 2) of two-metric phenomenologically symmetric geometries of two sets // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 5–18. DOI: 10.17223/19988621/92/1

19–28

Krylov Piotr A., Norbosambuev Tsyrendorzhi D. Isomorphisms of incidence algebras // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 19–28. DOI: 10.17223/19988621/92/2

29–47

Khalilov Elnur H. Constructive method for solving some classes of hypersingular integral equations of the second kind // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 29–47. DOI: 10.17223/19988621/92/3

48–55

Khmyleva Tatiana E., Petrova Kira M. On linear homeomorphisms of spaces of continuous functions with the pointwise convergence topology // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 48–55. DOI: 10.17223/19988621/92/4

MECHANICS

56–68

Azin Anton V., Vasilyev Alexander V., Ponomarev Sergey V., Rikkonen Sergey V. Modeling of the stress-strain state of an ultrasonic piezoelectric transducer in an impedance method of testing materials // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 56–68. DOI: 10.17223/19988621/92/5

69–78

Arkhipov Vladimir A., Basalaev Sergey A., Perfilieva Ksenia G., Polencuk Sergey N., Romandin Vladimir I. Experimental study of the breakup of vertical liquid jet // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 69–78. DOI: 10.17223/19988621/92/6

79–88

Arkhipov Vladimir A., Zolotorev Nikolay N., Poryazov Vasily A. Influence of aluminum dispersion on acoustic admittance of the solid propellant combustion surface // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 79–88. DOI: 10.17223/19988621/92/7

89–100

Bondarchuk Sergey S., Zhukov Alexander S., Ziatdinov Mansur Kh., Dubkova Yana A., Minkov Leonid L., Krainov Aleksey Yu. Modeling of intra-ballistic processes in solid rocket motors for charges with non-removable forming rig // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 89–100. DOI: 10.17223/19988621/92/8

101–113

Ishchenko Aleksandr N., Aksenov Andrey A., Akol’zin Vladislav S., Biryukov Il’ya M., Chupashev Andrey V., Shestopalova Alena S., Shmelev Vladimir V. Numerical modeling of high-speed water flow around a body of revolution with a blunt front end // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 101–113. DOI: 10.17223/19988621/92/9

114–124

Kagenov Anuar M., Kostyushin Kirill V., Larkin Dmitry O. Mathematical modeling of the interaction of a multiple supersonic jet with a moving obstacle // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 114–124. DOI: 10.17223/19988621/92/10

125–143

Poryazov Vasiliy A., Glotov Oleg G., Krainov Aleksey Yu., Krainov Dmitriy A., Sorokin Ivan V., Surodin Grigory S. Experimental investigation and modeling of metallized composite solid propellant combustion with allowance for the size distribution of agglomerates. I. Experiment: methodology, processing, results // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 125–143. DOI: 10.17223/19988621/92/11

144–158

Rashkovskiy Sergei A., Kostyushin Kirill V., Zhiltsov Konstantin N., Eremin Ivan V. Merging of liquid droplets during agglomeration on a combustion surface // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 144–158. DOI: 10.17223/19988621/92/12

159–168

Stepanov Evgeniy Yu., Ishchenko Aleksandr N., Burkin Viktor V., Metelitsa Egor R., Biryukov Il'ya M., Sammel' Anton Yu. Specification of conditions for stable arc discharge formation in an electro-plasma device during secondary breakdown in a discharge gap // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 159–168. DOI: 10.17223/19988621/92/13

169–185

Chaykovskaya Tat’yana V., Marchenko Ekaterina S., Vetrova Anna V. Computational and experimental studies of strength properties and durability of implants made of titanium nickelide and vertebral bone tissue during intervertebral disc replacement in a segment of the cervical spine // Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 92. P. 169–185. DOI: 10.17223/19988621/92/14