June 8, 2018, at a meeting of a scientific seminar on differential and functional-differential equations under the supervision of Professor A.L. Skubachev (Mathematical Institute n.a. Nikolsky) prof.Yakov Sinai made a report: "Navier-Stokes System and Renolmalization Group Theory".
Y. Sinai is a laureate of many prestigious Russian and international prizes. He was awarded the A.Markov Prize. (1989), the Heinemann Prize (1990), the Israeli Wolff Prize (1996), the J. Moser Prize (2001), the Nemmers Prize (2002), the Henri Poincaré Award (2009) and others, as well as L. Boltzmann medal 1986) and P. Dirac medal (1993). In 2013, he received the Leroy Steele Award of the American Mathematical Society. In 2014, the Academy of Sciences of Norway awarded him the Abel Prize.
The main works of the professor lie in the field of both mathematics and mathematical physics, especially probability theory, the theory of dynamical systems, ergodic theory, and other mathematical problems of statistical physics. Of great importance are his works on geodesic flows on surfaces of negative curvature. Many achievements in the field of mathematics are named after him, including such as the Kolmogorov-Sinai entropy, the Sinai billiards, the Sinai random walk hypothesis, the Sinai-Bowen-Ruel measure and the Pirogov-Sinai theory. A large series of works is devoted to the theory of scattering billiards - "Sinai billiards".
At the seminar professor shared the latest results of scientific research on the Navier-Stokes equations and the new mathematical apparatus (Renolmalization Group Theory), allowing to advance in the study of the global solvability of the Navier-Stokes equations.
A RUDN chemist has obtained a new compound — a dumbbell-shaped phosphate-bridged molybdenum cluster. The cluster accelerates the reaction of the formation of sulfides from oxides and can be used in pharmaceutical and cosmetic manufacturing.
Mathematicians from RUDN University have studied the properties of compositional operators in spaces with mixed Lebesgue norms. It will help describe the diffusion of liquids in materials with cracks and in porous materials. Such spaces are also useful for obtaining estimates for solutions to the Navier-Stokes equation.
A biophysicist from RUDN University and his colleagues modelled the molecular dynamics of growth of microtubules, the most important elements of cell activity. The researchers have built a model for the interaction of microtubule subunits, which takes into account their internal and external connections. The results will help form a more complete model of the dynamic instability of microtubules. It will allow choosing chemical agents for the treatment of certain diseases, including neoplasms and neurodegenerative pathologies.