gravity field theory,
relativistic kinetics and statistics,
Riemannian geometry,
theory of continuous groups, dynamical systems.
UDC:
539.121.7, 530.12:531.51
Subject:
Gravitation theory and field theory, relativistic statistics and kinetics, cosmology, Riemannian geometry and bundle geometry, theory of continuous groups, nonlinear dynamical systems
Biography
He graduated from Kazan State University with a degree in "physics and the theory of relativity and gravitation" in 1970. After graduation
to 1975 he worked as a senior engineer in nuclear physics laboratory of the Physics Department at KSU. From 1975 to 1985 he worked as an assistant, then – assistant professor of the theory of relativity of Kazan University. In 1977 he defended his thesis on the specialty 01.04.02 – "Theoretical and Mathematical Physics", in 1983 was promoted to associate professor in the department of the theory of relativity and gravitation. From 1985 to 2008. head of the department of geometry and mathematical modeling Tatar State University of Humanities and Education, from 2011 to the present time – head. Department of Higher Mathematics and Mathematical Modelling of the Institute of Mathematics and Mechanics. NI Lobachevsky at Kazan University. In 1988 he defended his doctoral thesis on the specialty 01.04.02 – "Theoretical and Mathematical Physics", and in 1991 he received the academic title of professor of geometry. He was the scientific supervision 18 Ph.D. theses, of which 8 in the future doctorates. Since 1995, member of the Editorial Board of the international scientific journal "Gravitation & Cosmology", since 1996 – a member of the doctoral council D 212.081.10 on geometry and topology of the Kazan State University. Since 2012 – the deputy. chief editor of "Space, Time and fundamental interactions." The author of 596 articles, monographs and textbooks.
Main publications:
Yu.G. Ignatev, “Statistical dynamics of a classical particle ensemble in the gravitational field”, Gravitation and Cosmology, 13:1 (2007), 59–79
Yu.G. Ignatyev, K. Alsmadi, “A complete relativistic kinetic model of symmetry violation in isotropic expanding plasma. I. Exact model”, Gravitation and Cosmology, 11:3 (2005), 252–258
Yu.G. Ignat’ev, “GMSW as a detector of a gravitational waves”, Physics Letters A, 230 (1997), 171–177
Yu. G. Ignat’ev, A. A. Popov, “Kinetic equations for ultrarelativistic particles in a Robertson – Walker universy and isotropization of relict radiation by gravitational interactions”, Actrophysics and Space Science, 163 (1990), 153–174
Yurii Ignatev, Alexander Agathonov, Mikhail Mikhailov, Dmitry Ignatyev, “Cosmological evolution of statistical system of scalar charged particles”, 357, no. 61, Astrophysics and Space Science
Yu. G. Ignat'ev, “Self-gravitating Higgs field of an asymmetric binary scalar charge”, TMF, 221:1 (2024), 138–153; Theoret. and Math. Phys., 221:1 (2024), 1711–1725
2.
Yu. G. Ignat'ev, “Self-gravitating Higgs field of scalar charge”, TMF, 219:2 (2024), 299–314; Theoret. and Math. Phys., 219:2 (2024), 792–805
Yu. G. Ignat'ev, “Similarity of cosmological models and its application to the analysis of cosmological evolution”, TMF, 219:1 (2024), 181–198; Theoret. and Math. Phys., 219:1 (2024), 688–703
2023
4.
Yu. G. Ignatev, “Evolution of spherical perturbations in the cosmological
environment of degenerate scalar-charged fermions with a scalar
Higgs coupling”, TMF, 215:3 (2023), 465–499; Theoret. and Math. Phys., 215:3 (2023), 862–892
Yu. G. Ignat'ev, D. Yu. Ignatyev, “Cosmological models based on a statistical system of scalar charged degenerate fermions and an asymmetric Higgs scalar doublet”, TMF, 209:1 (2021), 142–183; Theoret. and Math. Phys., 209:1 (2021), 1437–1472
Yu. G. Ignat'ev, I. A. Kokh, “Complete cosmological model based on an asymmetric scalar Higgs doublet”, TMF, 207:1 (2021), 133–176; Theoret. and Math. Phys., 207:1 (2021), 514–552
Yu. G. Ignat'ev, “The self-consistent field method and macroscopic Einstein equations for the early universe”, TMF, 204:1 (2020), 106–129; Theoret. and Math. Phys., 204:1 (2020), 927–946
Yu. G. Ignatev, Kh. Kh. Abdulla, “Mathematical modeling of nonlinear generalized mechanical systems in the Maple computer mathematics system”, University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 2, 66–76
2006
9.
Yu. G. Ignat'ev, R. F. Miftahov, “Математическая модель статистических систем частиц со скалярным взаимодействием в космологии”, Matem. Mod. Kraev. Zadachi, 4 (2006), 48–51
10.
Yu. G. Ignat'ev, R. A. Ziatdinov, “Математическая модель эволюции спектра реликтовых частиц в области сверхвысоких энергий и исследование ее средствами пакета Maple”, Matem. Mod. Kraev. Zadachi, 4 (2006), 45–48
2005
11.
M. R. Bagautdinov, Yu. G. Ignat'ev, “Анимация математических моделей основных физических процессов в пакете Maple на примере модели спонтанного нарушения симметрии”, Matem. Mod. Kraev. Zadachi, 2 (2005), 271–273
12.
L. I. Gumerova-Rozakova, Yu. G. Ignat'ev, “Моделирование и анимация геодезической трубки в гравитационном поле Шварцшильда средствами пакета Maple”, Matem. Mod. Kraev. Zadachi, 2 (2005), 79–81
13.
N. R. Ageeva, Yu. G. Ignat'ev, “Создание компьютерной анимированной модели движения релятивистских частиц в гравитационно- волновых полях с помощью пакета Maple”, Matem. Mod. Kraev. Zadachi, 2 (2005), 12–14
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