Martynov, Sergeĭ Ivanovich On the force acting on particles in an inhomogeneously heated polarizing liquid. (Russian. English summary) Zbl 1466.76044 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 1, 50-59 (2021). MSC: 76T20 76W05 76D07 80A19 PDFBibTeX XMLCite \textit{S. I. Martynov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 1, 50--59 (2021; Zbl 1466.76044) Full Text: DOI MNR
Martynov, S. I.; Tkach, L. Yu. Mechanism of moving particle aggregates in a viscous fluid subjected to a varying uniform external field. (English. Russian original) Zbl 1459.76165 Comput. Math. Math. Phys. 59, No. 3, 475-483 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 3, 505-515 (2019). MSC: 76T20 76M99 PDFBibTeX XMLCite \textit{S. I. Martynov} and \textit{L. Yu. Tkach}, Comput. Math. Math. Phys. 59, No. 3, 475--483 (2019; Zbl 1459.76165); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 3, 505--515 (2019) Full Text: DOI
Martynov, S. I.; Tkach, L. Yu. Dynamics of chain particle aggregates in viscous flow. (English. Russian original) Zbl 1427.76262 Comput. Math. Math. Phys. 56, No. 5, 826-840 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 840-855 (2016). MSC: 76T20 76D07 76M99 PDFBibTeX XMLCite \textit{S. I. Martynov} and \textit{L. Yu. Tkach}, Comput. Math. Math. Phys. 56, No. 5, 826--840 (2016; Zbl 1427.76262); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 840--855 (2016) Full Text: DOI
Martynov, S. I. Comments on the paper by O. B. Gus’kov “A self-consistent field method applied to the dynamics of viscous suspensions”. (English. Russian original) Zbl 1432.76271 J. Appl. Math. Mech. 79, No. 1, 104-105 (2015); translation from Prikl. Mat. Mekh. 79, No. 1, 147-149 (2015). MSC: 76T20 76D07 PDFBibTeX XMLCite \textit{S. I. Martynov}, J. Appl. Math. Mech. 79, No. 1, 104--105 (2015; Zbl 1432.76271); translation from Prikl. Mat. Mekh. 79, No. 1, 147--149 (2015) Full Text: DOI
Martynov, S. I.; Tkach, L. Yu. Simulation of particle aggregate dynamics in a viscous fluid. (English. Russian original) Zbl 1453.76007 Comput. Math. Math. Phys. 55, No. 2, 282-290 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 2, 285-294 (2015). MSC: 76-10 76T20 PDFBibTeX XMLCite \textit{S. I. Martynov} and \textit{L. Yu. Tkach}, Comput. Math. Math. Phys. 55, No. 2, 282--290 (2015; Zbl 1453.76007); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 2, 285--294 (2015) Full Text: DOI
Deryabina, M. S.; Martynov, S. I. Viscous fluid filtration model through a periodical lattice of particles with a given pressure gradient. (Russian) Zbl 1299.76284 Prikladnaya matematika i mekhanika. Sbornik nauchnykh trudov. Ul’yanovsk: Ul’yanovskiĭ Gosudarstvennyĭ Tekhnicheskiĭ Universitet (ISBN 978-5-9795-0904-4), 195-203 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 76T20 76S05 PDFBibTeX XMLCite \textit{M. S. Deryabina} and \textit{S. I. Martynov}, in: Прикладная математика и механика. Сборник научных трудов. Ul'yanovsk: Ul'yanovskiĭ Gosudarstvennyĭ Tekhnicheskiĭ Universitet. 195--203 (2011; Zbl 1299.76284)
Martynov, S. I.; Syromyasov, A. O. Viscosity of a suspension with a cubic array of spheres in a shear flow. (English. Russian original) Zbl 1184.76890 Fluid Dyn. 40, No. 4, 503-513 (2005); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 3-14 (2005). MSC: 76T20 PDFBibTeX XMLCite \textit{S. I. Martynov} and \textit{A. O. Syromyasov}, Fluid Dyn. 40, No. 4, 503--513 (2005; Zbl 1184.76890); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 3--14 (2005) Full Text: DOI
Baranov, V. E.; Martynov, S. I. Effect of the hydrodynamic interaction of a large number of particles on their sedimentation rate in a viscous fluid. (English. Russian original) Zbl 1179.76082 Fluid Dyn. 39, No. 1, 136-147 (2004); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2004, No. 1, 152-164 (2004). MSC: 76T20 76D07 PDFBibTeX XMLCite \textit{V. E. Baranov} and \textit{S. I. Martynov}, Fluid Dyn. 39, No. 1, 136--147 (2004; Zbl 1179.76082); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2004, No. 1, 152--164 (2004) Full Text: DOI
Martynov, S. I.; Syromyasov, A. O. Periodic grid of rigid spheres in linear flow of viscous fluid. (Russian) Zbl 1135.76020 Prikladnaya matematika i mekhanika. Sbornik nauchnykh trudov. Ul’yanovsk: Ul’yanovskij Gosudarstvennyj Tekhnicheskij Universitet (ISBN 5-89146-526-4/pbk). 172-176 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 76D99 76T20 PDFBibTeX XMLCite \textit{S. I. Martynov} and \textit{A. O. Syromyasov}, in: Prikladnaya matematika i mekhanika. Sbornik nauchnykh trudov. Ul'yanovsk: Ul'yanovskij Gosudarstvennyj Tekhnicheskij Universitet. 172--176 (2004; Zbl 1135.76020)