Abstract: In the present paper the phenomenon of branching of abstract steady-state kinetic equation in complete metrizable spaces is investigated. The conditions of origin of bifurcation of trivial solution are considered, mathematical apparatus of Lyapunov-Schmidt method for intrinsic domain of operator associated with quantum Boltzmann-like equation is modified.Note: Research direction:Mathematical problems and theory of numerical method
The aim of this thesis is to study energy discretization of the Boltzmann equation in the framework ...
Models of the boundary conditions for the Boltzmann equation were constructed systematically in a re...
AbstractWe study steady boundary value problems of nonlinear kinetic theory. Using a continuation ar...
Abstract: In the present paper the phenomenon of branching of solutions of abstract statio...
Abstract: The present paper is dedicated for basic aspects of theory of branching of solut...
Abstract: In the present paper bifurcation in families of non-Fredholm Frechet-analytic ma...
Abstract: In the present paper branching of solutions of operator equations of the specifi...
Abstract: Bifurcations in the families of local Fredholm analytic operators are considered...
This paper deals with kinetic-type (Boltzmann) modelling and with the analysis of mathematical probl...
We study typical half-space problems of rarefied gas dynamics, including the problems of Milne and K...
Geometric properties of domain boundaries and properties of the reflection operator for well-posedne...
We consider some extensions of the classical discrete Boltzmann equation to the cases of multicompon...
In this thesis, two different types of problems related to the Boltzmann equation of kinetic theory ...
The problem of thermodynamic parameterization of an arbitrary approximation of reduced description i...
We analyze reaction schemes in continuous mixtures in the presence of space gradients from the stand...
The aim of this thesis is to study energy discretization of the Boltzmann equation in the framework ...
Models of the boundary conditions for the Boltzmann equation were constructed systematically in a re...
AbstractWe study steady boundary value problems of nonlinear kinetic theory. Using a continuation ar...
Abstract: In the present paper the phenomenon of branching of solutions of abstract statio...
Abstract: The present paper is dedicated for basic aspects of theory of branching of solut...
Abstract: In the present paper bifurcation in families of non-Fredholm Frechet-analytic ma...
Abstract: In the present paper branching of solutions of operator equations of the specifi...
Abstract: Bifurcations in the families of local Fredholm analytic operators are considered...
This paper deals with kinetic-type (Boltzmann) modelling and with the analysis of mathematical probl...
We study typical half-space problems of rarefied gas dynamics, including the problems of Milne and K...
Geometric properties of domain boundaries and properties of the reflection operator for well-posedne...
We consider some extensions of the classical discrete Boltzmann equation to the cases of multicompon...
In this thesis, two different types of problems related to the Boltzmann equation of kinetic theory ...
The problem of thermodynamic parameterization of an arbitrary approximation of reduced description i...
We analyze reaction schemes in continuous mixtures in the presence of space gradients from the stand...
The aim of this thesis is to study energy discretization of the Boltzmann equation in the framework ...
Models of the boundary conditions for the Boltzmann equation were constructed systematically in a re...
AbstractWe study steady boundary value problems of nonlinear kinetic theory. Using a continuation ar...