The laboratory’s work is aimed at developing qualitative research methods for nonlinear and nonlocal equations. The laboratory was opened thanks to the victory in the megagrant of the national project “Science and Universities”. The team of S. M. Nikol’skii Mathematical Institute of RUDN University, led by S. B. Kuksin, a leading scientist in the field of partial differential equations and their applications to mathematical physics, received support.

Resources

The laboratory base allows to

• Develop of mathematical modeling programs and carrying out resource-intensive calculations
• Perform calculations for modeling plasma flow in a helical magnetic field trap, studying a closed electric current in the irradiated material and wall plasma during pulsed heating, models of viral infections, etc.
• Carry out work on the study of the cubic Schrodinger equation with added dissipation and random force and quasi-solutions of these equations, the study of mixing in finite-dimensional systems with non-degenerate stochastic random force, the study of Boltzmann-type equations of the theory of wave turbulence, etc.
• Perform calculations for modeling plasma flow in a trap with an external magnetic field, analyzing the accuracy of the numerical solution of the Vlasov-Poisson equation system, developing a test system for verifying numerical methods for calculating the kinetics of high-temperature plasma.
•  Use modern mathematical approaches and verification of mathematical models of inflammation, taking into account the spatiotemporal dynamics of the immune response, the influence of viral load and mechanisms of regulation of inflammation, based on experimental data

Equipment fleet

• More than 30 pieces of equipment
• 3 high-performance mobile workstations
• 4 high-performance workstations
• High-performance workstation based on Intel i7 computer, NVIDIA P100 GPU
• Elsholz computing server, Intel Xeon Platinum and Nvidia A100 integrated NVLink coprocessors

The center team, including a corresponding member of the Russian Academy of Sciences, is researching:

• Wave kinetic equations
• High-temperature plasma kinetics in a thermonuclear reactor and obtaining plasma retention conditions
• Biological and biomedical tasks, including models of viral infection in mathematical immunology and epidemiology, as well as implements their mathematical modeling
• Qualitative properties of solutions of functional differential equations

The research team consists of more than 2/3 of young researchers under the age of 39.

Partners

• Casablanca Central School
• Claude Bernard University Lyon 1
• Indian Institute of Technology
• Budker Institute of Nuclear Physics, Siberian Branch of the Russian Academy of Sciences
• Lomonosov Moscow State University