RUDN University mathematician first described the movement in a flat strip of plasma

The Zakharov-Kuznetsov equation is a one-function equation of two variables x and y. For physics, x is the direction of wave propagation, and the deformation of the medium occurs along the perpendicular direction y. For example, an oscillation of the guitar string looks like the wave runs down the string, while the oscillations occur perpendicular direction relative to the run of the wave.
There are a large number of results that describe solutions of the Zakharov-Kuznetsov equations in the case when there are no constraints on y. But the question of wave propagation in the strip — when y is limited — was almost not studied until recently. And this is although such a statement of the problem has a physical meaning, and therefore potential applications.
RUDN University mathematicians dealt with the Zakharov-Kuznetsov equation in the strip. They examined three main cases — when there are no oscillations on the boundary of the strip, when there is no current on the same boundary and when the boundary conditions are periodic in structure. The latter case corresponds to the propagation of waves in a medium whose structure is periodic in x.
In all these cases mathematicians managed to prove theorems of existence and uniqueness of solutions. For systems of partial differential equations, which include the Zakharov-Kuznetsov equation, such equations are very rare.
These results are the first for solutions of the equation with initial conditions in the strip. Flat plasma flows with boundary conditions, which were considered by RUDN University scientists, can occur in physics and astrophysics.
The Zakharov-Kuznetsov equations belong to a wider category of equations known as the Korteweg-de Vries equations. In the study of this category of equations for the first time, it was possible to describe solitons — waves whose shape does not change during movement. Physicists consider solitons as a tool for modern optical data transmission systems. The study of solitons, which can arise in the Zakharov-Kuznetsov equations, is one of the options for the development of the work done by RUDN University mathematicians.
The article in the journal Nonlinear Analysis: Real World Applications
Biologists from RUDN University working together with their colleagues from the Institute of Molecular Biology of the Russian Academy of Sciences and the Institute of Flax studied the genes that determine the fatty acid composition in flaxseed oil and identified polymorphisms in six of them. The team also found out what gene variations could extend the shelf life of flaxseed oil. This data can be used to improve the genetic selection of new flax breeds. The results were published in the BMC Plant Biology journal.
RUDN physician Anna Borisova, in collaboration with colleagues from Italy, used effective searches and classified 123 articles on this research topic. A literature review was conducted by searching databases of medical and biological publications: PubMed, the U.S. National Library of Medicine, and Embase (Elsevier), a biomedical database.
About Tree Talkers and soil structures, proper environmental management for sustainable urban development — in an interview with Elvira Davletyarov, Director of the Agrarian and Technological Institute of RUDN University.
Biologists from RUDN University working together with their colleagues from the Institute of Molecular Biology of the Russian Academy of Sciences and the Institute of Flax studied the genes that determine the fatty acid composition in flaxseed oil and identified polymorphisms in six of them. The team also found out what gene variations could extend the shelf life of flaxseed oil. This data can be used to improve the genetic selection of new flax breeds. The results were published in the BMC Plant Biology journal.
RUDN physician Anna Borisova, in collaboration with colleagues from Italy, used effective searches and classified 123 articles on this research topic. A literature review was conducted by searching databases of medical and biological publications: PubMed, the U.S. National Library of Medicine, and Embase (Elsevier), a biomedical database.
About Tree Talkers and soil structures, proper environmental management for sustainable urban development — in an interview with Elvira Davletyarov, Director of the Agrarian and Technological Institute of RUDN University.