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.
On the approach to equilibrium for a polymer with adsorption and repulsion.
On the approximate solution of the multi-group time-dependent transport equation by -method
This paper concerns -velocity model of the general linear time-dependent transport equation. The assumed probability of the collision (scattering, fission) depends only on the angle of the directions of the moving neutron before and after the collision. The weak formulation of the problem is given and a priori estimates are obtained. The construction of an approximate problem by -method is given. In the symmetric hyperbolic system obtained by -method dissipativity and -orthogonality of the relevant...
On the approximation of the dynamics of sandpile surfaces.
On the concept of the asymptotic Rényi distances for random fields
The asymptotic Rényi distances are explicitly defined and rigorously studied for a convenient class of Gibbs random fields, which are introduced as a natural infinite-dimensional generalization of exponential distributions.
On the convergence of numerical schemes for the Boltzmann equation
On the core property of the cylinder functions class in the construction of interacting particle systems
For general interacting particle systems in the sense of Liggett, it is proven that the class of cylinder functions forms a core for the associated Markov generator. It is argued that this result cannot be concluded by straightforwardly generalizing the standard proof technique that is applied when constructing interacting particle systems from their Markov pregenerators.
On the counting of fully packed loop configurations: some new conjectures.
On the decomposition of particle size distribution in the extraction replica method
This paper deals with the method for evaluating exposures of nickel alloy structures containing both extracted and sectioned particles. The presented stereological model makes it possible to estimate two unknown spatial parameters, the mean value of the particle size distribution and the depth of etching with the use of the information obtained from the combined structure of the exposures.
On the degenerate multiplicity of the loop algebra for the 6V transfer matrix at roots of unity.