On local smooth solutions for the Vlasov equation with the potential of interactions .
On long range percolation with heavy tails.
On multiply connected mesoscopic superconducting structures
On nonperturbative localization with quasi-periodic potential.
On numerical solution to the problem of reactor kinetics with delayed neutrons by Monte Carlo method
In this paper, the linear problem of reactor kinetics with delayed neutrons is studied whose formulation is based on the integral transport equation. Besides the proof of existence and uniqueness of the solution, a special random process and random variables for numerical elaboration of the problem by Monte Carlo method are presented. It is proved that these variables give an unbiased estimate of the solution and that their expectations and variances are finite.
On Prigogine's approaches to irreversibility: a case study by the baker map.
On quantum fields and systems with ordered ground state.
On quantum informational thermodynamics with macrostates defined with respect to several operators [Book]
On quenched and annealed critical curves of random pinning model with finite range correlations
This paper focuses on directed polymers pinned at a disordered and correlated interface. We assume that the disorder sequence is a -order moving average and show that the critical curve of the annealed model can be expressed in terms of the Perron–Frobenius eigenvalue of an explicit transfer matrix, which generalizes the annealed bound of the critical curve for i.i.d. disorder. We provide explicit values of the annealed critical curve for and and a weak disorder asymptotic in the general case....
On recurrent and transient sets of inhomogeneous symmetric random walks.
On regularized solution for BBGKY hierarchy of one-dimensional infinite system.
On relations between additive and multiplacative clustering operators
On self-similarity and stationary problem for fragmentation and coagulation models
On some Klein-Gordon-Schrödinger type systems
On some parabolic-elliptic system with self-similar pressure term
A priori estimates for solutions of a system describing the interaction of gravitationally attracting particles with a self-similar pressure term are proved. The presented theory covers the case of the model with diffusions that obey either Fermi-Dirac statistics or a polytropic one.
On some periodic Hartree-type models for crystals
On some sufficient conditions for the blow-up solutions of the nonlinear Ginzburg-Landau-Schrödinger evolution equation.
On stationary kinetic systems of Boltzmann type and their fluid limits
The first part reviews some recent ideas and L¹-existence results for non-linear stationary equations of Boltzmann type in a bounded domain in ℝⁿ and far from global Maxwellian equilibrium. That is an area not covered by the DiPerna and P. L. Lions methods for the time-dependent Boltzmann equation from the late 1980-ies. The final part discusses the more classical perturbative case close to global equilibrium and corresponding small mean free path limits of fully non-linear stationary problems....
On steady-state carrier distributions in semiconductor devices
The author proves the existence of solution of Van Roosbroeck's system of partial differential equations from the theory of semiconductors. His results generalize those of Mock, Gajewski and Seidman.
On the analytical and numerical treatment of a class of PDE's with the application to some two-valley semiconductor.