The Boltzmann equation for the model of hard spheres is considered. Approximate bimodal solutions for the Boltzmann equation are built for the case when the Maxwellian modes are screws with di®erent degrees of infinitesimality ...

We consider two classical ensembles of the random matrix theory: the Wigner matrices and sample covariance matrices, and prove Central Limit Theorem for linear eigenvalue statistics under rather weak (comparing with results ...

In the paper, the necessary and su±cient conditions of null-controllability and approximate null-controllability are obtained for the some control system. The problems for the control system are considered in the modified ...

The aim of the paper is to find the conditions on the function F(z), determined in the domain G and having in G continuous partial derivatives, for validity of the following statements: i) almost everywhere F(z) has the ...

Infinite dimensional spaces frequently appear in physics; there are several approaches to obtain a good categorical framework for this type of space, and cartesian closedness of some category, embedding smooth manifolds, ...

The author expresses his sincere gratitude to V.I. Diskant for his useful discussions of the considered problem.

For the Monge{Ampere equation ZxxZyy-Z²xy = b₂₀x²+b₁₁xy+b₀₂y²+b₀₀ we consider the question on the existence of a solution Z(x, y) in the class of polynomials such that Z = Z(x, y) is a graph of a convex surface. If Z is a ...

Space-like submanifolds, with dimension greater than three and with negative definite normal bundle in a general de Sitter space, of any index, are studied. For the compact space-like submanifolds whose mean curvature has ...

27 сентября 2011 года исполнилось 70 лет выдающемуся математику,доктору физико-математических наук, профессору Валерию Ивановичу Коробову.